Numerical Analysis of Dowel-Socket Structure in TMSR Graphite Core

Numerical Analysis of Dowel-Socket Structure Numerical Analysis of Dowel-Socket Structure in TMSR Graphite Corein TMSR Graphite Core

Fan Huiqing, Cai Maoyuan, Huang Chaochao, Derek Tsang

AimsAims

Results & DiscussionResults & Discussion

Model & Boundary ConditionsModel & Boundary Conditions

A

B

C

ContentsContents

1. To study the effect of Fillet Radius, Diameter/Length/Position

of dowel on the dowel-socket structure.

2. The Numerical Analysis results can provide designing basis

for the static experiment of graphite bricks.

AimsAims A

TMSR graphite brickTMSR graphite brick

Model & Boundary ConditionsModel & Boundary Conditions B

Model of Dowel-Socket structure

Design of Graphite Modelunits: mm

ϕ 90

Parameter considered in Dowel-Socket numerical analysis ：

1.Length of Dowel

2.Diameter of Dowel-Socket

3.Position of Socket

4.Fillet Radius

Model Code

Geometrical Parameter of Dowel/Socket

Remarklength/mm

diameter/mm

position/mm

Fillet Radius/mm

1 58/60 89.5/90 x,y

2.5

Model 1 is the origin design

2 78/80 89.5/90 x,y

3 98/100 89.5/90 x,y

4 58/60 79.5/80 x,y

1 58/60 89.5/90 x,y

5 58/60 99.5/100 x,y

1 58/60 89.5/90 x,y

6 58/60 89.5/90x+5y+5

7 58/60 89.5/90x-5y-5

8 58/60 89.5/90 x,y 1.5

1 58/60 89.5/90 x,y 2.5

9 58/60 89.5/90 x,y 3.5

Table of Model Parameter

Model 尺寸 /mm

Socket Φ90*60

Dowel Φ89.5*58

Position of Dowel/Socket:x=114.54mm ， y=180.31mm

Origin Design of Dowel/Socket

Position of Dowel/Socket

Model ParameterModel Parameter

ϕ 90

NG-CT-10 （ Chengdu Carbon）

Bulk densityKg/m3 1880

Young Modulus / GPa 9.65

Poisson’s ratio 0.2

Friction coefficient 0.2 (temp)

Materials Parameter of GraphiteMaterials Parameter of Graphite

Constraint Type Acting Surface

Fixed Constraint Lower Surface of Lower Brick

Displacement

Constraint

Upper Surface of Upper Brick

Z=0mm

Diagram of Constraint

Constraint TypeConstraint Type

Lower Brick

Upper Brick

Diagram of Loading

Loading Acting Surface

Gravity — g

ForceSide Surface of

Upper Brick60000N

Loading TypeLoading Type

Lower Brick

Upper Brick

Mesh Generation of Upper Brick

Mesh Generation of Dowel

0 10 20 30 40 500

10

20

30

40

50

60

Max

imum

Prin

cipa

l Stres

s / M

Pa

Grid Quantity / 104

Grid Quantity /104

Max Principal Stress /MPa

12.0 37.9

16.5 38.7

40.3 38

Results of Model 1

Choose 16.5*104 Grid Quantity

Analysis of Grid DensityAnalysis of Grid Density

Mesh Generation of Lower Brick

Stress Distribution of Upper Brick

MemberMax Principal Stress/MPa

Upper Brick 27.7

Lower Brick 38.0

Dowel 6.9

1. Max Principal Stress located at the bottom of

socket in the lower brick.

2. Max Principal Stress Distribution in Upper Surface of

Lower Brick was also considered

1. Max Principal Stress located at the bottom of

socket in the lower brick.

2. Max Principal Stress Distribution in Upper Surface of

Lower Brick was also considered

weakest-member?weakest-member?

Stress Distribution of Lower Brick Stress Distribution of Dowel

Limited change in Max Principal Stress Distribution in Upper Surface of Lower Brick.


Length of Dowel/Socket

mm

Max Principal Stressin Upper Surface of Lower Brick

/MPaChange / %

58/60 18.9 0

78/80 18.5 -2.1

98/100 19.5 3.1

Diameter of Dowel/Socket:89.5mm/90mm

Length of Dowel 80mm Length of Dowel 100mm

Results & DiscussionResults & Discussion C

Force

Max Principal Stress Distribution in Upper Surface of Lower BrickMax Principal Stress Distribution

in Upper Surface of Lower Brick

Length of Dowel 60mm

Length AnalysisLength Analysis

Diameter of Dowel/Socket

/mm


/MPaChange / %

79.5/80 23.0 21.7

89.5/90 18.9 0

99.5/100 15.7 -16.9

Length of Dowel/Socket: 58mm/60mm

Smaller Diameter, Bigger Max

Principal Stress.

Smaller Diameter, Bigger Max

Principal Stress.

Diameter AnalysisDiameter Analysis

Diameter of Dowel 80mm Diameter of Dowel 90mm Diameter of Dowel 100mm





/MPaChange / %

x ， y 18.9 0

x+5 ， y+5 18.4 -2.6

x-5 ， y-5 18.6 -1.6

Length of Dowel/Socket: 58mm/60mm, Diameter of Dowel/Socket:89.5mm/90mm

x ， y x-5 ， y-5x+5 ， y+5





Position AnalysisPosition Analysis


mm


/MPaChange / %

58/60 38.0 0

78/80 30.0 -21.1

98/100 23.7 -37.6

Diameter of Dowel/Socket:89.5mm/90mm

Max Principal Stress Distribution of Lower Brick


Length AnalysisLength Analysis

Length of Dowel 80mm Length of Dowel 100mmLength of Dowel 60mm

Longer Length, Lower Max

Principal Stress.

Longer Length, Lower Max

Principal Stress.

Limited change in Max Principal Stress Distribution of Lower Brick.


Diameter of Dowel/Socket

/mm


/MPaChange / %

79.5/80 38.6 1.6

89.5/90 38.0 0

99.5/100 39.6 4.2

Length of Dowel/Socket: 58mm/60mm



Diameter AnalysisDiameter Analysis

Diameter of Dowel 80mm Diameter of Dowel 90mm Diameter of Dowel 100mm



/MPaChange / %

x ， y 38.0 0

x+5 ， y+5 37.9 -0.3

x-5 ， y-5 38.9 2.4

Length of Dowel/Socket: 58mm 、 60mm, Diameter of Dowel/Socket:89.5mm/90mm

x ， y x-5 ， y-5x+5 ， y+5



Position AnalysisPosition Analysis



Fillet Radius /mm


/MPaChange / %

1.5 43.5 0

2.5 37.1 -15

3.5 33.8 -22

Length of Dowel/Socket: 58mm 、 60mm, Diameter of Dowel/Socket:89.5mm/90mm

Larger Corner radius, Lower Max

Principal Stress.

Larger Corner radius, Lower Max

Principal Stress.

Fillet Radius 1.5 mm Fillet Radius 3.5 mmFillet Radius 2.5 mm



Corner AnalysisCorner Analysis

ModelCode

Geometrical Parameter of Dowel/Socket Max Principal Stress /MPa

length/mm

Diameter/mm

position/mm

Fillet Radius/mm

Upper Surface of Lower Brick

Lower Brick

1 58/60 89.5/90 x,y

2.5

18.9 38.0

2 78/80 89.5/90 x,y 18.5 30.0

3 98/100 89.5/90 x,y 19.5 23.7

4 58/60 79.5/80 x,y 23.0 38.6

1 58/60 89.5/90 x,y 18.9 38.0

5 58/60 99.5/100 x,y 15.7 39.6

1 58/60 89.5/90 x,y 18.9 38.0

6 58/60 89.5/90x+5y+5

18.4 37.9

7 58/60 89.5/90x-5y-5

18.6 38.9

Stress ResultsStress Results


/mm

Max Principal Stress / MPa

Upper Surface of Lower Brick

Lower Brick

50 18.0 42.0

60 18.9 38.0

70 18.8 31.7

80 18.5 30.0

100 19.5 23.7

120 18.8 22.4

140 19.1 20.4

0 20 40 60 80 100 120 140 1600

10

20

30

40

50

Lower Brick Upper Surface of Lower Brick

Max

Princi

pal S

tress

/ M

Pa

Length of Dowel/Socket / mm

Length of Dowel/Socket AnalysisLength of Dowel/Socket Analysis

Longer Length, Lower Max Principal

Stress in the Lower Brick but Limited

change in Upper Surface of Lower

Brick.

The two curves tend to same value in

longer length.

Longer Length, Lower Max Principal

Stress in the Lower Brick but Limited

change in Upper Surface of Lower

Brick.

The two curves tend to same value in

longer length.

TransformationLength h2

Different Angle

Tensile Stress

Why?Why?

h1

Force


/mm

Transformation of Upper Surface of Lower Brick / mm

50 0.16

60 0.18

70 0.18

80 0.18

100 0.19

120 0.19

140 0.19

Longer length leads to small opening angle, which leads to smaller strain.

Smaller strain results in lower Max Principal Stress.

Longer length leads to small opening angle, which leads to smaller strain.

Smaller strain results in lower Max Principal Stress.

Conclusion

1.Max Principal Stress located at the corner of socket-bottom in the lower brick.

2.Length of Dowel/Socket and Fillet Radius have important implication for Max Principal

Stress of graphite bricks.

3.The Position and Diameter of Dowel/Socket show limited effect on Max Principal Stress

of graphite Brick

Conclusion

1.Max Principal Stress located at the corner of socket-bottom in the lower brick.

2.Length of Dowel/Socket and Fillet Radius have important implication for Max Principal

Stress of graphite bricks.

3.The Position and Diameter of Dowel/Socket show limited effect on Max Principal Stress

of graphite Brick

Thanks!

Documents

Numerical Analysis of Dowel-Socket Structure in TMSR Graphite Core