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James R Salvador Jung Young Cho and Jihui YangGeneral Motors Research amp Development
Andrew A Wereszczak and Hsin WangOakridge National Lab
Mechanical and Elastic Property Evaluation of
n- and p-type Skutterudites
jamessalvadorgmcom
GM RampD Thermoelectrics Team Researchers
Gregory P MeisnerJihui YangMike Reynolds
PostdocsXun Shi Jung Cho Zuxin Ye
Engineering OperationsKevin RoberJohn Manole
Gov ContractsEd Gundlach Amanda DemitrishRick Leach
ManagementJan HerbstMark Verbrugge
GMPT Integration amp TestingGreg Prior (Retired)
Joshua Cowgill
CollaboratorsSubcontractors Marlow Industries Jeff Sharp Jim Bierschenk Josh Moczygemba
and Alan Thompson Oak Ridge National Laboratory Hsin Wang Andy Wereszczak University of Nevada Las Vegas Changfeng Chen Yi Zhang
Future Tech Francis Stabler
Heat Technology Inc
Emcon (Faurecia)
Shanghai Institute of Ceramics Lidong Chen
University of Michigan Ctirad Uher
University of South Florida George Nolas
Brookhaven National Laboratory Qiang Li
Michigan State University Don Morelli
General Electric Global Research Todd Anderson Peter DeBock
AcknowledgementsUS Department of Energy Grant DE-FC26-04NT 42278
John Fairbanks (DOE) Carl Maronde (NETL)US Department of Energy Assistant Secretary for Energy Efficiency and Renewable Energy Office of Vehicle Technologies as part of the Propulsion Materials Program under contract DE-
AC05-00OR22725 with UT-Battelle LLC
Skutterudite a CoAs3 mineral found near Skutterud Norway in 1845 and compounds with the same crystal structure (body-centered cubic Im3 Oftedal I (1928) Zeitschrift fuumlr Kristallographie 66 517-546) are known as ldquoskutteruditesrdquo
W Jeitschko D J Braun Acta Crystallogr 1977 B33 3401 Filled Skutterudite Crystal Structure for LaFe4P12
Filled Skutterudites Technologically Important and Scientifically Fascinating Materials
Co As
Co4As12
Empty cages
Fracture and Failure in Ceramics Battling Flaws
Fracture toughness KIC =Yσradicaπ Mode I fracture Y is a crack shape factor and is larger for surface and edge cracks
Small Size Range - Allowable Stress vs Flaw Size
0
100
200
300
400
500
600
700
800
0 20 40 60 80 100
Flaw Size c (microm)
KIc = 1
KIc = 2
Large Size Range - Allowable Stress vs Flaw Size
0
100
200
300
400
500
600
700
800
0 200 400 600 800 1000
Flaw Size c (microm)
KIc = 1
KIc = 2
1) httpwwwndt-edorgEducationResourcesCommunityCollegeMaterialsMechanicalFractureToughnesshtm2) V Ravi S Firdosy T Caillat B Lerch A Calamino R Pawlik M Nathal A Sechrist J Buchhalter and S Nutt Mechanical Properties of Thermoelectric
Skutterudites Proceedings of the American Institute of Physics Conference Space Technology and Applications International Forum (2008) February 10-14
Albuquerque NM
1)
a is the crack length for edge cracks
or one half crack length for internal cracks
2)KIc = 11 - 22 Mpam12
Strength-Limiting Flaw Classification For Brittle Materials
Bi-DimensionalHybrid Flaw
PoresPorous Regions
Large GrainsAgglomerates
Inclusions
Volume Type(3-Dimensional)
Machining DamagePitting
Handling DamageOxidation
Surface Type(2-Dimensional)
Edge chipping
Edge Type(1-Dimensional)
Edge
100 microm
2a
Volume
20 microm
2a
Surface
50 microm
2a
Φ = e-(σσο)^M
Fracture and Failure in Ceramics A Statistical ProblemThe Weibull Modulus (M) is a measure of the scatter of data in a Weibull distribution
It is analogous to the standard deviation in a Gaussian distribution
For ceramic fracture and failure M is a measure of the flaw population distribution
Controlling fracture is controlling or eliminating the outliers in the flaw population
Thermal Shock Resistance Parameter For
Thermoelectric Materials in Operation
Q
Q
x κ
T2
T1
Steady State Heat Flow Q
Temperature Gradient as a result of
heat flow
Stress as a result of a temperature
gradient
Maximum allowable heat Flow
Of Concern is the Long Term Survival of the TE Legs Under Normal
Operating Conditions
ECTER Tens
Therm bullminus
=κνσ )1(
RTherm =σTens =
ν =κ =
CTE =E =
Thermal shock resistance parameter (the larger the better)Tensile stress or strengthPoissonrsquos ratioThermal conductivityCoefficient of thermal expansionElastic modulus
Kingery J Am Cer Soc 383-15 (1955)
aYKIc
Tens =σ
KIc =Y =a=
Fracture toughnessCrack shape factorGriffith flaw size
Must seek to minimize cTensile Strength ltlt Compressive StrengthManage tensile stress for conservative design
Griffith Criterion
FEA finds that stress is particularly concentrated at
edges and corners under 500 oC thermal gradient
Thermal Stress Experienced by a TE Module During
OperationThe stresses calculated by FEA for a module are quite
sensitive to
(a)CTE E inputs
(b)Boundary Conditions (these
presented here are very strenuous)
When these mismatched CTErsquos (stainless
steel contacts and Al2O3 insulators are
accounted for tensile stresses in the legs
climb to greater than 300 MPa via FEA
modeling
1) O M Jadaan and A A Wereszczak ldquoProbabilistic Design Optimization and Reliability Assessment of High Temperature Thermoelectric Devicesrdquo Ceramic
Engineering and Science Proceedings 29 [3] 157-172 (2008)
Elastic Modulus and Poissonrsquos ratio were
determined by Resonant Ultrasound Spectroscopy
(RUS)
Elastic Property Measurements
CLTE = 115 ppm to 450oC CLTE = 101 ppm
Sample type E (Gpa)
G (Gpa)
B(Gpa)
ν VT(x103 ms)
VL(x103 ms)
n-type 135 55 80 020 269 450p-type 123 50 73 020 256 429
Summary of Elastic Properties
n-type La005Ba007Yb008Co400Sb1202
p-type Ce030Co257Fe143Sb1198
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
GM RampD Thermoelectrics Team Researchers
Gregory P MeisnerJihui YangMike Reynolds
PostdocsXun Shi Jung Cho Zuxin Ye
Engineering OperationsKevin RoberJohn Manole
Gov ContractsEd Gundlach Amanda DemitrishRick Leach
ManagementJan HerbstMark Verbrugge
GMPT Integration amp TestingGreg Prior (Retired)
Joshua Cowgill
CollaboratorsSubcontractors Marlow Industries Jeff Sharp Jim Bierschenk Josh Moczygemba
and Alan Thompson Oak Ridge National Laboratory Hsin Wang Andy Wereszczak University of Nevada Las Vegas Changfeng Chen Yi Zhang
Future Tech Francis Stabler
Heat Technology Inc
Emcon (Faurecia)
Shanghai Institute of Ceramics Lidong Chen
University of Michigan Ctirad Uher
University of South Florida George Nolas
Brookhaven National Laboratory Qiang Li
Michigan State University Don Morelli
General Electric Global Research Todd Anderson Peter DeBock
AcknowledgementsUS Department of Energy Grant DE-FC26-04NT 42278
John Fairbanks (DOE) Carl Maronde (NETL)US Department of Energy Assistant Secretary for Energy Efficiency and Renewable Energy Office of Vehicle Technologies as part of the Propulsion Materials Program under contract DE-
AC05-00OR22725 with UT-Battelle LLC
Skutterudite a CoAs3 mineral found near Skutterud Norway in 1845 and compounds with the same crystal structure (body-centered cubic Im3 Oftedal I (1928) Zeitschrift fuumlr Kristallographie 66 517-546) are known as ldquoskutteruditesrdquo
W Jeitschko D J Braun Acta Crystallogr 1977 B33 3401 Filled Skutterudite Crystal Structure for LaFe4P12
Filled Skutterudites Technologically Important and Scientifically Fascinating Materials
Co As
Co4As12
Empty cages
Fracture and Failure in Ceramics Battling Flaws
Fracture toughness KIC =Yσradicaπ Mode I fracture Y is a crack shape factor and is larger for surface and edge cracks
Small Size Range - Allowable Stress vs Flaw Size
0
100
200
300
400
500
600
700
800
0 20 40 60 80 100
Flaw Size c (microm)
KIc = 1
KIc = 2
Large Size Range - Allowable Stress vs Flaw Size
0
100
200
300
400
500
600
700
800
0 200 400 600 800 1000
Flaw Size c (microm)
KIc = 1
KIc = 2
1) httpwwwndt-edorgEducationResourcesCommunityCollegeMaterialsMechanicalFractureToughnesshtm2) V Ravi S Firdosy T Caillat B Lerch A Calamino R Pawlik M Nathal A Sechrist J Buchhalter and S Nutt Mechanical Properties of Thermoelectric
Skutterudites Proceedings of the American Institute of Physics Conference Space Technology and Applications International Forum (2008) February 10-14
Albuquerque NM
1)
a is the crack length for edge cracks
or one half crack length for internal cracks
2)KIc = 11 - 22 Mpam12
Strength-Limiting Flaw Classification For Brittle Materials
Bi-DimensionalHybrid Flaw
PoresPorous Regions
Large GrainsAgglomerates
Inclusions
Volume Type(3-Dimensional)
Machining DamagePitting
Handling DamageOxidation
Surface Type(2-Dimensional)
Edge chipping
Edge Type(1-Dimensional)
Edge
100 microm
2a
Volume
20 microm
2a
Surface
50 microm
2a
Φ = e-(σσο)^M
Fracture and Failure in Ceramics A Statistical ProblemThe Weibull Modulus (M) is a measure of the scatter of data in a Weibull distribution
It is analogous to the standard deviation in a Gaussian distribution
For ceramic fracture and failure M is a measure of the flaw population distribution
Controlling fracture is controlling or eliminating the outliers in the flaw population
Thermal Shock Resistance Parameter For
Thermoelectric Materials in Operation
Q
Q
x κ
T2
T1
Steady State Heat Flow Q
Temperature Gradient as a result of
heat flow
Stress as a result of a temperature
gradient
Maximum allowable heat Flow
Of Concern is the Long Term Survival of the TE Legs Under Normal
Operating Conditions
ECTER Tens
Therm bullminus
=κνσ )1(
RTherm =σTens =
ν =κ =
CTE =E =
Thermal shock resistance parameter (the larger the better)Tensile stress or strengthPoissonrsquos ratioThermal conductivityCoefficient of thermal expansionElastic modulus
Kingery J Am Cer Soc 383-15 (1955)
aYKIc
Tens =σ
KIc =Y =a=
Fracture toughnessCrack shape factorGriffith flaw size
Must seek to minimize cTensile Strength ltlt Compressive StrengthManage tensile stress for conservative design
Griffith Criterion
FEA finds that stress is particularly concentrated at
edges and corners under 500 oC thermal gradient
Thermal Stress Experienced by a TE Module During
OperationThe stresses calculated by FEA for a module are quite
sensitive to
(a)CTE E inputs
(b)Boundary Conditions (these
presented here are very strenuous)
When these mismatched CTErsquos (stainless
steel contacts and Al2O3 insulators are
accounted for tensile stresses in the legs
climb to greater than 300 MPa via FEA
modeling
1) O M Jadaan and A A Wereszczak ldquoProbabilistic Design Optimization and Reliability Assessment of High Temperature Thermoelectric Devicesrdquo Ceramic
Engineering and Science Proceedings 29 [3] 157-172 (2008)
Elastic Modulus and Poissonrsquos ratio were
determined by Resonant Ultrasound Spectroscopy
(RUS)
Elastic Property Measurements
CLTE = 115 ppm to 450oC CLTE = 101 ppm
Sample type E (Gpa)
G (Gpa)
B(Gpa)
ν VT(x103 ms)
VL(x103 ms)
n-type 135 55 80 020 269 450p-type 123 50 73 020 256 429
Summary of Elastic Properties
n-type La005Ba007Yb008Co400Sb1202
p-type Ce030Co257Fe143Sb1198
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Skutterudite a CoAs3 mineral found near Skutterud Norway in 1845 and compounds with the same crystal structure (body-centered cubic Im3 Oftedal I (1928) Zeitschrift fuumlr Kristallographie 66 517-546) are known as ldquoskutteruditesrdquo
W Jeitschko D J Braun Acta Crystallogr 1977 B33 3401 Filled Skutterudite Crystal Structure for LaFe4P12
Filled Skutterudites Technologically Important and Scientifically Fascinating Materials
Co As
Co4As12
Empty cages
Fracture and Failure in Ceramics Battling Flaws
Fracture toughness KIC =Yσradicaπ Mode I fracture Y is a crack shape factor and is larger for surface and edge cracks
Small Size Range - Allowable Stress vs Flaw Size
0
100
200
300
400
500
600
700
800
0 20 40 60 80 100
Flaw Size c (microm)
KIc = 1
KIc = 2
Large Size Range - Allowable Stress vs Flaw Size
0
100
200
300
400
500
600
700
800
0 200 400 600 800 1000
Flaw Size c (microm)
KIc = 1
KIc = 2
1) httpwwwndt-edorgEducationResourcesCommunityCollegeMaterialsMechanicalFractureToughnesshtm2) V Ravi S Firdosy T Caillat B Lerch A Calamino R Pawlik M Nathal A Sechrist J Buchhalter and S Nutt Mechanical Properties of Thermoelectric
Skutterudites Proceedings of the American Institute of Physics Conference Space Technology and Applications International Forum (2008) February 10-14
Albuquerque NM
1)
a is the crack length for edge cracks
or one half crack length for internal cracks
2)KIc = 11 - 22 Mpam12
Strength-Limiting Flaw Classification For Brittle Materials
Bi-DimensionalHybrid Flaw
PoresPorous Regions
Large GrainsAgglomerates
Inclusions
Volume Type(3-Dimensional)
Machining DamagePitting
Handling DamageOxidation
Surface Type(2-Dimensional)
Edge chipping
Edge Type(1-Dimensional)
Edge
100 microm
2a
Volume
20 microm
2a
Surface
50 microm
2a
Φ = e-(σσο)^M
Fracture and Failure in Ceramics A Statistical ProblemThe Weibull Modulus (M) is a measure of the scatter of data in a Weibull distribution
It is analogous to the standard deviation in a Gaussian distribution
For ceramic fracture and failure M is a measure of the flaw population distribution
Controlling fracture is controlling or eliminating the outliers in the flaw population
Thermal Shock Resistance Parameter For
Thermoelectric Materials in Operation
Q
Q
x κ
T2
T1
Steady State Heat Flow Q
Temperature Gradient as a result of
heat flow
Stress as a result of a temperature
gradient
Maximum allowable heat Flow
Of Concern is the Long Term Survival of the TE Legs Under Normal
Operating Conditions
ECTER Tens
Therm bullminus
=κνσ )1(
RTherm =σTens =
ν =κ =
CTE =E =
Thermal shock resistance parameter (the larger the better)Tensile stress or strengthPoissonrsquos ratioThermal conductivityCoefficient of thermal expansionElastic modulus
Kingery J Am Cer Soc 383-15 (1955)
aYKIc
Tens =σ
KIc =Y =a=
Fracture toughnessCrack shape factorGriffith flaw size
Must seek to minimize cTensile Strength ltlt Compressive StrengthManage tensile stress for conservative design
Griffith Criterion
FEA finds that stress is particularly concentrated at
edges and corners under 500 oC thermal gradient
Thermal Stress Experienced by a TE Module During
OperationThe stresses calculated by FEA for a module are quite
sensitive to
(a)CTE E inputs
(b)Boundary Conditions (these
presented here are very strenuous)
When these mismatched CTErsquos (stainless
steel contacts and Al2O3 insulators are
accounted for tensile stresses in the legs
climb to greater than 300 MPa via FEA
modeling
1) O M Jadaan and A A Wereszczak ldquoProbabilistic Design Optimization and Reliability Assessment of High Temperature Thermoelectric Devicesrdquo Ceramic
Engineering and Science Proceedings 29 [3] 157-172 (2008)
Elastic Modulus and Poissonrsquos ratio were
determined by Resonant Ultrasound Spectroscopy
(RUS)
Elastic Property Measurements
CLTE = 115 ppm to 450oC CLTE = 101 ppm
Sample type E (Gpa)
G (Gpa)
B(Gpa)
ν VT(x103 ms)
VL(x103 ms)
n-type 135 55 80 020 269 450p-type 123 50 73 020 256 429
Summary of Elastic Properties
n-type La005Ba007Yb008Co400Sb1202
p-type Ce030Co257Fe143Sb1198
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Fracture and Failure in Ceramics Battling Flaws
Fracture toughness KIC =Yσradicaπ Mode I fracture Y is a crack shape factor and is larger for surface and edge cracks
Small Size Range - Allowable Stress vs Flaw Size
0
100
200
300
400
500
600
700
800
0 20 40 60 80 100
Flaw Size c (microm)
KIc = 1
KIc = 2
Large Size Range - Allowable Stress vs Flaw Size
0
100
200
300
400
500
600
700
800
0 200 400 600 800 1000
Flaw Size c (microm)
KIc = 1
KIc = 2
1) httpwwwndt-edorgEducationResourcesCommunityCollegeMaterialsMechanicalFractureToughnesshtm2) V Ravi S Firdosy T Caillat B Lerch A Calamino R Pawlik M Nathal A Sechrist J Buchhalter and S Nutt Mechanical Properties of Thermoelectric
Skutterudites Proceedings of the American Institute of Physics Conference Space Technology and Applications International Forum (2008) February 10-14
Albuquerque NM
1)
a is the crack length for edge cracks
or one half crack length for internal cracks
2)KIc = 11 - 22 Mpam12
Strength-Limiting Flaw Classification For Brittle Materials
Bi-DimensionalHybrid Flaw
PoresPorous Regions
Large GrainsAgglomerates
Inclusions
Volume Type(3-Dimensional)
Machining DamagePitting
Handling DamageOxidation
Surface Type(2-Dimensional)
Edge chipping
Edge Type(1-Dimensional)
Edge
100 microm
2a
Volume
20 microm
2a
Surface
50 microm
2a
Φ = e-(σσο)^M
Fracture and Failure in Ceramics A Statistical ProblemThe Weibull Modulus (M) is a measure of the scatter of data in a Weibull distribution
It is analogous to the standard deviation in a Gaussian distribution
For ceramic fracture and failure M is a measure of the flaw population distribution
Controlling fracture is controlling or eliminating the outliers in the flaw population
Thermal Shock Resistance Parameter For
Thermoelectric Materials in Operation
Q
Q
x κ
T2
T1
Steady State Heat Flow Q
Temperature Gradient as a result of
heat flow
Stress as a result of a temperature
gradient
Maximum allowable heat Flow
Of Concern is the Long Term Survival of the TE Legs Under Normal
Operating Conditions
ECTER Tens
Therm bullminus
=κνσ )1(
RTherm =σTens =
ν =κ =
CTE =E =
Thermal shock resistance parameter (the larger the better)Tensile stress or strengthPoissonrsquos ratioThermal conductivityCoefficient of thermal expansionElastic modulus
Kingery J Am Cer Soc 383-15 (1955)
aYKIc
Tens =σ
KIc =Y =a=
Fracture toughnessCrack shape factorGriffith flaw size
Must seek to minimize cTensile Strength ltlt Compressive StrengthManage tensile stress for conservative design
Griffith Criterion
FEA finds that stress is particularly concentrated at
edges and corners under 500 oC thermal gradient
Thermal Stress Experienced by a TE Module During
OperationThe stresses calculated by FEA for a module are quite
sensitive to
(a)CTE E inputs
(b)Boundary Conditions (these
presented here are very strenuous)
When these mismatched CTErsquos (stainless
steel contacts and Al2O3 insulators are
accounted for tensile stresses in the legs
climb to greater than 300 MPa via FEA
modeling
1) O M Jadaan and A A Wereszczak ldquoProbabilistic Design Optimization and Reliability Assessment of High Temperature Thermoelectric Devicesrdquo Ceramic
Engineering and Science Proceedings 29 [3] 157-172 (2008)
Elastic Modulus and Poissonrsquos ratio were
determined by Resonant Ultrasound Spectroscopy
(RUS)
Elastic Property Measurements
CLTE = 115 ppm to 450oC CLTE = 101 ppm
Sample type E (Gpa)
G (Gpa)
B(Gpa)
ν VT(x103 ms)
VL(x103 ms)
n-type 135 55 80 020 269 450p-type 123 50 73 020 256 429
Summary of Elastic Properties
n-type La005Ba007Yb008Co400Sb1202
p-type Ce030Co257Fe143Sb1198
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Strength-Limiting Flaw Classification For Brittle Materials
Bi-DimensionalHybrid Flaw
PoresPorous Regions
Large GrainsAgglomerates
Inclusions
Volume Type(3-Dimensional)
Machining DamagePitting
Handling DamageOxidation
Surface Type(2-Dimensional)
Edge chipping
Edge Type(1-Dimensional)
Edge
100 microm
2a
Volume
20 microm
2a
Surface
50 microm
2a
Φ = e-(σσο)^M
Fracture and Failure in Ceramics A Statistical ProblemThe Weibull Modulus (M) is a measure of the scatter of data in a Weibull distribution
It is analogous to the standard deviation in a Gaussian distribution
For ceramic fracture and failure M is a measure of the flaw population distribution
Controlling fracture is controlling or eliminating the outliers in the flaw population
Thermal Shock Resistance Parameter For
Thermoelectric Materials in Operation
Q
Q
x κ
T2
T1
Steady State Heat Flow Q
Temperature Gradient as a result of
heat flow
Stress as a result of a temperature
gradient
Maximum allowable heat Flow
Of Concern is the Long Term Survival of the TE Legs Under Normal
Operating Conditions
ECTER Tens
Therm bullminus
=κνσ )1(
RTherm =σTens =
ν =κ =
CTE =E =
Thermal shock resistance parameter (the larger the better)Tensile stress or strengthPoissonrsquos ratioThermal conductivityCoefficient of thermal expansionElastic modulus
Kingery J Am Cer Soc 383-15 (1955)
aYKIc
Tens =σ
KIc =Y =a=
Fracture toughnessCrack shape factorGriffith flaw size
Must seek to minimize cTensile Strength ltlt Compressive StrengthManage tensile stress for conservative design
Griffith Criterion
FEA finds that stress is particularly concentrated at
edges and corners under 500 oC thermal gradient
Thermal Stress Experienced by a TE Module During
OperationThe stresses calculated by FEA for a module are quite
sensitive to
(a)CTE E inputs
(b)Boundary Conditions (these
presented here are very strenuous)
When these mismatched CTErsquos (stainless
steel contacts and Al2O3 insulators are
accounted for tensile stresses in the legs
climb to greater than 300 MPa via FEA
modeling
1) O M Jadaan and A A Wereszczak ldquoProbabilistic Design Optimization and Reliability Assessment of High Temperature Thermoelectric Devicesrdquo Ceramic
Engineering and Science Proceedings 29 [3] 157-172 (2008)
Elastic Modulus and Poissonrsquos ratio were
determined by Resonant Ultrasound Spectroscopy
(RUS)
Elastic Property Measurements
CLTE = 115 ppm to 450oC CLTE = 101 ppm
Sample type E (Gpa)
G (Gpa)
B(Gpa)
ν VT(x103 ms)
VL(x103 ms)
n-type 135 55 80 020 269 450p-type 123 50 73 020 256 429
Summary of Elastic Properties
n-type La005Ba007Yb008Co400Sb1202
p-type Ce030Co257Fe143Sb1198
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Φ = e-(σσο)^M
Fracture and Failure in Ceramics A Statistical ProblemThe Weibull Modulus (M) is a measure of the scatter of data in a Weibull distribution
It is analogous to the standard deviation in a Gaussian distribution
For ceramic fracture and failure M is a measure of the flaw population distribution
Controlling fracture is controlling or eliminating the outliers in the flaw population
Thermal Shock Resistance Parameter For
Thermoelectric Materials in Operation
Q
Q
x κ
T2
T1
Steady State Heat Flow Q
Temperature Gradient as a result of
heat flow
Stress as a result of a temperature
gradient
Maximum allowable heat Flow
Of Concern is the Long Term Survival of the TE Legs Under Normal
Operating Conditions
ECTER Tens
Therm bullminus
=κνσ )1(
RTherm =σTens =
ν =κ =
CTE =E =
Thermal shock resistance parameter (the larger the better)Tensile stress or strengthPoissonrsquos ratioThermal conductivityCoefficient of thermal expansionElastic modulus
Kingery J Am Cer Soc 383-15 (1955)
aYKIc
Tens =σ
KIc =Y =a=
Fracture toughnessCrack shape factorGriffith flaw size
Must seek to minimize cTensile Strength ltlt Compressive StrengthManage tensile stress for conservative design
Griffith Criterion
FEA finds that stress is particularly concentrated at
edges and corners under 500 oC thermal gradient
Thermal Stress Experienced by a TE Module During
OperationThe stresses calculated by FEA for a module are quite
sensitive to
(a)CTE E inputs
(b)Boundary Conditions (these
presented here are very strenuous)
When these mismatched CTErsquos (stainless
steel contacts and Al2O3 insulators are
accounted for tensile stresses in the legs
climb to greater than 300 MPa via FEA
modeling
1) O M Jadaan and A A Wereszczak ldquoProbabilistic Design Optimization and Reliability Assessment of High Temperature Thermoelectric Devicesrdquo Ceramic
Engineering and Science Proceedings 29 [3] 157-172 (2008)
Elastic Modulus and Poissonrsquos ratio were
determined by Resonant Ultrasound Spectroscopy
(RUS)
Elastic Property Measurements
CLTE = 115 ppm to 450oC CLTE = 101 ppm
Sample type E (Gpa)
G (Gpa)
B(Gpa)
ν VT(x103 ms)
VL(x103 ms)
n-type 135 55 80 020 269 450p-type 123 50 73 020 256 429
Summary of Elastic Properties
n-type La005Ba007Yb008Co400Sb1202
p-type Ce030Co257Fe143Sb1198
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Thermal Shock Resistance Parameter For
Thermoelectric Materials in Operation
Q
Q
x κ
T2
T1
Steady State Heat Flow Q
Temperature Gradient as a result of
heat flow
Stress as a result of a temperature
gradient
Maximum allowable heat Flow
Of Concern is the Long Term Survival of the TE Legs Under Normal
Operating Conditions
ECTER Tens
Therm bullminus
=κνσ )1(
RTherm =σTens =
ν =κ =
CTE =E =
Thermal shock resistance parameter (the larger the better)Tensile stress or strengthPoissonrsquos ratioThermal conductivityCoefficient of thermal expansionElastic modulus
Kingery J Am Cer Soc 383-15 (1955)
aYKIc
Tens =σ
KIc =Y =a=
Fracture toughnessCrack shape factorGriffith flaw size
Must seek to minimize cTensile Strength ltlt Compressive StrengthManage tensile stress for conservative design
Griffith Criterion
FEA finds that stress is particularly concentrated at
edges and corners under 500 oC thermal gradient
Thermal Stress Experienced by a TE Module During
OperationThe stresses calculated by FEA for a module are quite
sensitive to
(a)CTE E inputs
(b)Boundary Conditions (these
presented here are very strenuous)
When these mismatched CTErsquos (stainless
steel contacts and Al2O3 insulators are
accounted for tensile stresses in the legs
climb to greater than 300 MPa via FEA
modeling
1) O M Jadaan and A A Wereszczak ldquoProbabilistic Design Optimization and Reliability Assessment of High Temperature Thermoelectric Devicesrdquo Ceramic
Engineering and Science Proceedings 29 [3] 157-172 (2008)
Elastic Modulus and Poissonrsquos ratio were
determined by Resonant Ultrasound Spectroscopy
(RUS)
Elastic Property Measurements
CLTE = 115 ppm to 450oC CLTE = 101 ppm
Sample type E (Gpa)
G (Gpa)
B(Gpa)
ν VT(x103 ms)
VL(x103 ms)
n-type 135 55 80 020 269 450p-type 123 50 73 020 256 429
Summary of Elastic Properties
n-type La005Ba007Yb008Co400Sb1202
p-type Ce030Co257Fe143Sb1198
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Of Concern is the Long Term Survival of the TE Legs Under Normal
Operating Conditions
ECTER Tens
Therm bullminus
=κνσ )1(
RTherm =σTens =
ν =κ =
CTE =E =
Thermal shock resistance parameter (the larger the better)Tensile stress or strengthPoissonrsquos ratioThermal conductivityCoefficient of thermal expansionElastic modulus
Kingery J Am Cer Soc 383-15 (1955)
aYKIc
Tens =σ
KIc =Y =a=
Fracture toughnessCrack shape factorGriffith flaw size
Must seek to minimize cTensile Strength ltlt Compressive StrengthManage tensile stress for conservative design
Griffith Criterion
FEA finds that stress is particularly concentrated at
edges and corners under 500 oC thermal gradient
Thermal Stress Experienced by a TE Module During
OperationThe stresses calculated by FEA for a module are quite
sensitive to
(a)CTE E inputs
(b)Boundary Conditions (these
presented here are very strenuous)
When these mismatched CTErsquos (stainless
steel contacts and Al2O3 insulators are
accounted for tensile stresses in the legs
climb to greater than 300 MPa via FEA
modeling
1) O M Jadaan and A A Wereszczak ldquoProbabilistic Design Optimization and Reliability Assessment of High Temperature Thermoelectric Devicesrdquo Ceramic
Engineering and Science Proceedings 29 [3] 157-172 (2008)
Elastic Modulus and Poissonrsquos ratio were
determined by Resonant Ultrasound Spectroscopy
(RUS)
Elastic Property Measurements
CLTE = 115 ppm to 450oC CLTE = 101 ppm
Sample type E (Gpa)
G (Gpa)
B(Gpa)
ν VT(x103 ms)
VL(x103 ms)
n-type 135 55 80 020 269 450p-type 123 50 73 020 256 429
Summary of Elastic Properties
n-type La005Ba007Yb008Co400Sb1202
p-type Ce030Co257Fe143Sb1198
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
FEA finds that stress is particularly concentrated at
edges and corners under 500 oC thermal gradient
Thermal Stress Experienced by a TE Module During
OperationThe stresses calculated by FEA for a module are quite
sensitive to
(a)CTE E inputs
(b)Boundary Conditions (these
presented here are very strenuous)
When these mismatched CTErsquos (stainless
steel contacts and Al2O3 insulators are
accounted for tensile stresses in the legs
climb to greater than 300 MPa via FEA
modeling
1) O M Jadaan and A A Wereszczak ldquoProbabilistic Design Optimization and Reliability Assessment of High Temperature Thermoelectric Devicesrdquo Ceramic
Engineering and Science Proceedings 29 [3] 157-172 (2008)
Elastic Modulus and Poissonrsquos ratio were
determined by Resonant Ultrasound Spectroscopy
(RUS)
Elastic Property Measurements
CLTE = 115 ppm to 450oC CLTE = 101 ppm
Sample type E (Gpa)
G (Gpa)
B(Gpa)
ν VT(x103 ms)
VL(x103 ms)
n-type 135 55 80 020 269 450p-type 123 50 73 020 256 429
Summary of Elastic Properties
n-type La005Ba007Yb008Co400Sb1202
p-type Ce030Co257Fe143Sb1198
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Elastic Modulus and Poissonrsquos ratio were
determined by Resonant Ultrasound Spectroscopy
(RUS)
Elastic Property Measurements
CLTE = 115 ppm to 450oC CLTE = 101 ppm
Sample type E (Gpa)
G (Gpa)
B(Gpa)
ν VT(x103 ms)
VL(x103 ms)
n-type 135 55 80 020 269 450p-type 123 50 73 020 256 429
Summary of Elastic Properties
n-type La005Ba007Yb008Co400Sb1202
p-type Ce030Co257Fe143Sb1198
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
CLTE = 115 ppm to 450oC CLTE = 101 ppm
Sample type E (Gpa)
G (Gpa)
B(Gpa)
ν VT(x103 ms)
VL(x103 ms)
n-type 135 55 80 020 269 450p-type 123 50 73 020 256 429
Summary of Elastic Properties
n-type La005Ba007Yb008Co400Sb1202
p-type Ce030Co257Fe143Sb1198
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
An All-Alumina High-Temperature ldquo3-Pointrdquo Bend Fixture Was Developed and
Used For Strength Testing
This is actually a ldquoBall on Two Rollersrdquo 3-Point Bend Fixture The self aligning nature allows high sample throughput
The close contact between the ball and cylinder make for a virtually oxygen free environment
Comparison of the outer-fiber tensile stress as a function of 3-point-bendforce for the analytical case (black) its finite element analysis (blue) andthe case for the bend fixture shown in Fig 3 (red) Difference was small(~3) so the analytical expression was used to estimate failure stresses inthis study
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Preparation of Filled Skutterudites
Induction melting of the
elements Sealed vessel
required for n-type
The melt is annealed at
750 oC for 1 week
Annealed charge was
milled by HEBM and
sieved to 60 microm
Diced by low speed
diamond saw
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Prototypical Graphite Die and to Create Test Specimens
SPS
Sintering
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
bull Edge type (1-D) extrinsic typically a machining effect
ndash eg edge chipping or chamfering (TE elements can be cast as cylinders)
bull Surface type (2-D) can be extrinsic or intrinsic
ndash eg machining damage reaction layer oxidation layer
bull Volume type (3-D) usually intrinsic
ndash eg pores agglomerates large grains etc
ndash Improvement in material processing will lessen their effect
Room Temperature Strength of Diced and NSS Test Coupons
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
The characteristic strength of skutterudites is twice that of the PbTe based materials with similar microstructures that we have tested Samples prepared by
SPS and cut parallel to pressing axisJR Salvador et al Philo Mag 89 1517 (2009)
Strength as a Function of Temperature
0
50
100
150
200
250
0 5 10 15 20 25
Yb035Co4Sb12 Skutterudite N-typeMmFe4Sb12 Skutterudite P-typePbTe (PbI2 doped) N-typePbTe (Na doped) P-type
Cha
ract
eris
tic S
tren
gth
(MP
a)
Weibull Modulus
95 ConfidenceRatio Rings
N-type SkutteruditeP-type SkutteruditeN-type PbTe (PbI2)P-type PbTe (Na)
(n-type)
Yb022Co4Sb1208
Ce086Co102Fe298Sb1197
Results are for small scale reactions (60g) and frac12 in billets
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
~1 kg of Ce030Co252Fe148Sb12
(n-type)
25 25 160 106 154 17200 14 156 67 148 20300 15 154 96 147 16400 15 139 64 130 25500 15 143 88 135 17
(p-type)
25 20 135 242 132 8200 14 133 108 127 21300 15 133 150 129 11400 15 138 284 136 7500 15 147 134 142 12
|------- 2- parameter Weibull -------| |-- Gaussian --|Characteristic Ave Std
Temp of Strength Weibull Strength DevMaterial (degC) Tests (MPa) Modulus (MPa) (MPa)
Values in parenthesis = plusmn 95 confidence interval σ (MPa)110 120 130 140 150 160 170 180
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
500 oC p-type500 oC n-type
σ (MPa)100 120 140 160 180 200
Pro
babi
lity
of S
urvi
val
00
02
04
06
08
10
12
25 oC p-type25 oC n-type
Machined by Al Thompson Marlow Industries
25 oC
500 oC
La005Ba007Yb008Co400Sb1202
Ce030Co257Fe143Sb1198
Incremental Improvement in Characteristic Strength
Results are for large scale (10 kg batches and 30 cm (80 g
billets)
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Volume-Type Flaw (SKN-3)
1 mm
100 microm1 mmT
C
T
T
Surface-Type Flaw (SKN-17)
1 mm
1 mm
Representative Flaws of Large Scale Materials
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
N-TypePolished Surface
Fracture Surface
P-Type
Fracture Surface
Polished Surface
Source of Persistently Lower Weibull Modulus in n-Type Materials
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Conclusions Demonstrated incremental improvement in the fracture strength of
skutterudite materials by flaw mitigation Characteristic strengths for skutterudites are twice that of PbTe and Bi-Te based materials
Fracture strength of both n- and p-type skutterudites is nearly temperature independent and characteristic strength magnitude is encouraging from a durability standpoint
Weibull modulus (increased uncertainty) of the n-type material still lags p-type due to the larger distribution of volume flaws (larger grain distribution)
There is significant room for improvement in the control of microstructure by optimizing powder metallurgical techniques
Thank You
Thank You