Finite element numerical simulation of a TIG welding test

Finite element numerical simulation of a TIG welding testA.Capriccioli, P.Frosi

ForewardThis is a preliminary analysis about finite element simulation of a TIG welding test of two plates in AISI 316 LN stainless steel.Two uncoupled steps of analysis are executed: thermal and then mechanical one.The main strategy adopted is the birth and death technique.The analysis is carried out with Ansys rel.10

Main general analysiss aims Thermal shrinkage calculationResidual stress field calculationRestraints choice and placementBest sequences specificationsStudy of the effect of material property changes

Special aims of this analysisTo build a simplified fem model in order to evaluate the feasibility of developing a larger fem model that can simulate a real TIG welding test To know the CPU time and the amount of Hard Disk demand for the simplified model (on a office PC) to assess the real request for the complete model on a faster machineCheck if the final global strain of the first model is correctly foreseen

GeometryThe geometrical model has the length that is one third of the real longitudinal dimension (z)The width of the single plate is chosen to have a acceptable total node numberThe caulker has a variable gap

Scheme for subsequent passesLateral restraints position

FEM MODELThe connection between rigions with different mesh density is obtained with contact element with the multi-point-constraint option.The connection between the plates and the edge restraints is made with coupling nodes DOF.The model has about 91000 elements and 82000 nodes.

Caulkers elements The elements that simulate the filling material are collected in groups that represent the different passes.These elements are subjected to birth technique: they are killed at the beginning of the analysis and then reactivated at the proper time when the heat source passes.There are 80 elements in axial direction whose length is about 4 mm.

Heat Affected Zone elementsThese elements represent the mushy zone whose final temperatures are checked to find out if the basic material is molten during welding. These region have the same mesh density of filling material.

Convection elementsThese elements overlay brick elements all over the plates. We can choose the film coefficient and the bulk temperature

Radiative elementsThese elements overlay the elements describing filling material. They are killed at the beginning of the analysis and then reactivated one by one at the same time of the underlying brick element to simulatate the radiative heat loss of the molten metal drop.

AISI 316 Material PropertyTsolidus = 1370 C = 1643 KTliquidus = 1400 C = 1673 K

Grafico1

13.2857129.76190138.2889071657

13.634833828230.765350663638.2889071657

14.150902146131.80952001938.2889071657

14.99242004932.897628762938.2889071657

15.813483405434.03289659238.2889071657

16.61731191235.2185432031

17.407125265636.457788293

18.18614316337.7538515584

18.957585300938.2889071657

19.724671376

20.4906210851

21.258654125

22.0319901924

22.813848984

23.6074501966

24.416013527

25.2427586719

26.090905328

26.9636731921

27.864281961

28.7959513314

29.761901

anlitical formula

extrapolated values

keep constant

temperature

(W/ m K)

thermal conductivity

Foglio1

temp (C)temp (K)spec heat (J/kg K)

0273456.28from analytical formulacoeff_0456.2817

20293464.73coeff_10.4337

50323476.57coeff_2-5.77E-04

100373494.23coeff_33.51E-07

150423509.53

200473522.74

250523534.12

300573543.92

350623552.42

400673559.87

450723566.54

500773572.69

550823578.59

600873584.49

650923590.67

700973597.38

7501023604.88

8001073613.45

8501123623.34

9001173634.82

9501223648.14

10001273663.58

10501323681.40

11001373701.85

11501423725.20

12001473751.72

12501523781.66

13001573815.30

13501623852.89

13701643869.09

28703143869.09keep constant

14001673837.40literature

temp (C)temp (K)temp (C)temp (K)

02738040.30from analytical formulacoeff_08.040302738.04from analytical formulacoeff_08.0403

202938031.47coeff_1-4.42E-04202938.03coeff_1-4.42E-04

503238018.26coeff_22.07E-081003738.00coeff_22.07E-08

1003737996.28coeff_3-5.80E-112004737.95coeff_3-5.80E-11

1504237974.323005737.91

2004737952.334006737.86

2505237930.275007737.82

3005737908.106008737.77

3506237885.777009737.72

4006737863.2480010737.67

4507237840.4690011737.62

5007737817.40100012737.56

5508237794.00110013737.50

6008737770.23120014737.44

6509237746.04130015737.37

7009737721.38

75010237696.22140016737.30

80010737670.51

85011237644.21

90011737617.27

95012237589.65

100012737561.31

105013237532.20

110013737502.28

115014237471.51

120014737439.84

125015237407.22

130015737373.62

135016237339.00

137016437324.85


180020737324.85

220024737324.85

260028737324.85

287031437324.85


temp (C)temp (K)spe heat (J/kg K)

0273456.288040.301.002E+09124564.902731.002E+09

20293464.738031.471.076E+0974011150.2133775.09210.09202931.076E+09

50323476.578018.261.189E+09113306177.9147894.414119.43503231.189E+09

100373494.237996.281.383E+09194334645.3172164.424269.971003731.383E+09

150423509.537974.321.584E+09200382966.2197258.525094.151504231.584E+09

200473522.747952.331.789E+09205507769.6223065.525806.922004731.789E+09

250523534.127930.271.999E+09209819689.8249486.926421.442505231.999E+09

300573543.927908.102.212E+09213428115.4276437.826950.873005732.212E+09

350623552.427885.772.429E+09216441220.2303846.127408.353506232.429E+09

400673559.877863.242.648E+09218965982.0331653.227807.044006732.648E+09

450723566.547840.462.869E+09221108190.3359813.328160.094507232.869E+09

500773572.697817.403.092E+09222972443.1388293.928480.665007733.092E+09

550823578.597794.003.316E+09224662131.3417075.828781.895508233.316E+09

600873584.497770.233.543E+09226279411.9446152.729076.936008733.543E+09

650923590.677746.043.771E+09227925170.5475531.729378.956509233.771E+09

700973597.387721.384.000E+09229698971.1505232.829701.107009734.000E+09

7501023604.887696.224.232E+09231698995.7535289.330056.5275010234.232E+09

8001073613.457670.514.466E+09234021971.3565747.730458.3780010734.466E+09

8501123623.347644.214.703E+09236763086.5596667.530919.8185011234.703E+09

9001173634.827617.274.943E+09240015895.8628121.531453.9890011734.943E+09

9501223648.147589.655.187E+09243872212.9660195.532074.0395012235.187E+09

10001273663.587561.315.435E+09248421992.7692988.632793.13100012735.435E+09

10501323681.407532.205.689E+09253753201.0726613.133624.42105013235.689E+09

11001373701.857502.285.949E+09259951674.0761194.134581.06110013735.949E+09

11501423725.207471.516.216E+09267100965.3796870.335676.20115014236.216E+09

12001473751.727439.846.491E+09275282182.0833793.336922.99120014736.491E+09

12501523781.667407.226.776E+09284573808.8872127.938334.58125015236.776E+09

13001573815.307373.627.071E+09295051521.7912052.039924.13130015737.071E+09

13501623852.897339.007.378E+09306787989.1953756.841704.80135016237.378E+09

13701643869.097324.857.504E+09126254146.1970976.717219.84137016437.504E+09

14001673869.097324.857.943E+09439490892.0literature1030976.760000140016737.943E+09

18002073869.097324.851.049E+102546389675.4180020731.049E+10

22002473869.097324.851.304E+102546389675.4220024731.304E+10

26002873869.097324.851.558E+102546389675.4260028731.558E+10

28703143869.097324.851.730E+101718813030.9287031431.730E+10

temp (C)temp (K)therm cond (W/m K)

027313.29coeff_013.28571

2029313.63coeff_11.76E-02

5032314.15coeff_2-5.38E-06

10037314.99coeff_34.29E-09

15042315.81

20047316.62

25052317.41

30057318.19

35062318.96

40067319.72

45072320.49

50077321.26

55082322.03

60087322.81

65092323.61

70097324.42

750102325.24

800107326.09

850112326.96

900117327.86

950122328.80

1000127329.76

1050132330.77

1100137331.81

1150142332.90

1200147334.03

1250152335.22

1300157336.46

1350162337.75

1370164338.29

1800207338.29

2200247338.29

2600287338.29

2870314338.29


temp (C)temp (K)alpha average (1/K)

02731.632E-05from analytical formulacoeff_01.63E-05

1003731.679E-05coeff_14.93E-09

2004731.724E-05coeff_2-1.66E-12

3005731.765E-05

4006731.802E-05

5007731.837E-05

6008731.868E-05

7009731.896E-05

80010731.920E-05

90011731.941E-05

100012731.959E-05

110013731.974E-05

120014731.985E-05

130015731.993E-05

137016431.996E-05

180020731.996E-05keep constant

220024731.996E-05

260028731.996E-05

287031431.996E-05

140016731.997E-05literature

temp (C)temp (K)Young mod (GPa)

02732.0038E+11from analytical formulacoeff_0200379500000

503231.9632E+11coeff_1-8.12E+07

1003731.9226E+11

1504231.8820E+11

2004731.8414E+11

2505231.8007E+11

3005731.7601E+11

3506231.7195E+11

4006731.6789E+11

4507231.6383E+11

5007731.5977E+11

5508231.5571E+11

6008731.5165E+11

6509231.4759E+11

7009731.4352E+11

75010231.3946E+11

80010731.3540E+11

85011231.3134E+11

90011731.2728E+11

95012231.2322E+11

100012731.1916E+11

105013231.1510E+11

110013731.1104E+11

115014231.0698E+11

120014731.0291E+11

125015239.8853E+10

130015739.4792E+10

135016239.0731E+10

137016438.9107E+10

287031438.9107E+10

90011731.2728E+11

100012731.1916E+11

not recomended values

temp (C)temp (K)Poisson coeff.


503230.29568coeff_17.17E-05

1003730.29927

1504230.30285

2004730.30644

2505230.31002

3005730.31361

3506230.31719

4006730.32078

4507230.32436

5007730.32795

5508230.33153

6008730.33511

6509230.33870

7009730.34228

75010230.34587

80010730.34945

85011230.35304

90011730.35662

95012230.36021

100012730.36379

105013230.36737

110013730.37096

115014230.37454

120014730.37813

125015230.38171

130015730.38530

135016230.38888

137016430.39032

287031430.39032

90011730.36

100012730.36


temp (C)temp (K)shear modulus (GPa)

02737.7540E+10from analytical formula

503237.5759E+10

1003737.3987E+10

1504237.2225E+10

2004737.0472E+10

2505236.8729E+10

3005736.6996E+10

3506236.5272E+10

4006736.3558E+10

4507236.1853E+10

5007736.0156E+10

5508235.8470E+10

6008735.6792E+10

6509235.5123E+10

7009735.3463E+10

75010235.1812E+10

80010735.0170E+10

85011234.8536E+10

90011734.6911E+10

95012234.5294E+10

100012734.3687E+10

105013234.2087E+10

110013734.0496E+10

115014233.8913E+10

120014733.7338E+10

125015233.5772E+10

130015733.4214E+10

135016233.2663E+10

137016433.2046E+10

287031433.2046E+10

90011734.6911E+10

100012734.3687E+10


OUTOKUMPU web site:

Rm

3203606205020C

211246520100C

167198460200C

145175440300C

135164400C

129158500C

melting points

1370C

1400 C

temp (C)temp (K)Yield strength (Pa)

02733.47E+0802733.47250E+086.45000E+080.50

202933.20E+08202933.20000E+086.20000E+080.50

1003732.11E+081003732.11000E+085.20000E+080.50

1504231.89E+081504231.89000E+084.90000E+080.50

2004731.67E+082004731.67000E+084.60000E+080.50

2505231.56E+082505231.56000E+084.50000E+080.50

3005731.45E+083005731.45000E+084.40000E+080.50

3506231.40E+083506231.40000E+084.30000E+080.50

4006731.35E+084006731.35000E+084.20000E+080.50

4507231.32E+084507231.32000E+084.10000E+080.50

5007731.29E+085007731.29000E+084.00000E+080.50

5508231.26E+085508231.26000E+083.90000E+080.50

6008731.23E+086008731.23000E+083.80000E+080.50

6509231.20E+086509231.20000E+083.70000E+080.50

7009731.17E+087009731.17000E+083.60000E+080.50

75010231.14E+0875010231.14000E+083.50000E+080.50

80010731.11E+0880010731.11000E+083.40000E+080.50

85011231.08E+0885011231.08000E+083.30000E+080.50

90011731.05E+0890011731.05000E+083.20000E+080.50

95012231.02E+0895012231.02000E+083.10000E+080.50

100012739.90E+07100012739.90000E+073.00000E+080.50

105013239.60E+07105013239.60000E+072.90000E+080.50

110013739.30E+07110013739.30000E+072.80000E+080.50

115014239.00E+07115014239.00000E+072.70000E+080.50

120014738.70E+07120014738.70000E+072.60000E+080.50

125015238.40E+07125015238.40000E+072.50000E+080.50

130015738.10E+07130015738.10000E+072.40000E+080.50

135016237.80E+07135016237.80000E+072.30000E+080.50

137016437.68E+07137016437.68000E+072.26000E+080.50

287031437.68E+07287031437.68000E+072.26000E+080.50

temp (C)temp (K)ultimate strength (Pa)

02736.45E+08

202936.20E+08

1003735.20E+08

1504234.90E+08

2004734.60E+08

2505234.50E+08

3005734.40E+08

3506234.30E+08

4006734.20E+08

4507234.10E+08

5007734.00E+08

5508233.90E+08

6008733.80E+08

6509233.70E+08

7009733.60E+08

75010233.50E+08

80010733.40E+08

85011233.30E+08

90011733.20E+08

95012233.10E+08

100012733.00E+08

105013232.90E+08

110013732.80E+08

115014232.70E+08

120014732.60E+08

125015232.50E+08

130015732.40E+08

135016232.30E+08

137016432.26E+08

287031432.26E+08

Foglio1

spec heat (J/kg K)

temperature (K)

(J/kg K)

specific heat AISI 316 LN

Foglio2

density (kg/m3)

temperature (K)

(kg/m3)

density AISI 316 LN

Foglio3

entalpy (J/m3)

temperature (K)

(J/m3)

entalpy (J/m3)

anlitical formula

extrapolated values

keep constant

temperature

(W/ m K)


alpha average (1/K)

temperature (K)

(m/m k)

thermal expansion coeff. (1/K)

200379500000

196318450000

192257400000

188196350000

184135300000

180074250000

176013200000

171952150000

167891100000

163830050000

159769000000

155707950000

151646900000

147585850000

143524800000

139463750000

135402700000

131341650000

127280600000

123219550000

119158500000

115097450000

111036400000

106975350000

102914300000

98853250000

94792200000

90731150000

89106730000

Young mod (GPa)

temperature (K)

(GPa)

Young Modulus (Pa)

0.2921

0.2956845

0.299269

0.3028535

0.306438

0.3100225

0.313607

0.3171915

0.320776

0.3243605

0.327945

0.3315295

0.335114

0.3386985

0.342283

0.3458675

0.349452

0.3530365

0.356621

0.3602055

0.36379

0.3673745

0.370959

0.3745435

0.378128

0.3817125

0.385297

0.3888815

0.3903153

0.3903153

Poisson coeff.

temperature (K)

Poisson coeff.

shear modulus (GPa)

temperature (K)

(GPa)

shear modulus (G)

Yield strength (Pa)

temperature (K)

(Pa)

Yield strength (Pa)

ultimate strength (Pa)

temperature (K)

(Pa)


Grafico2

456.2817663.5817869.09298522

464.72764992681.3952425869.09298522

476.5676925701.84724

494.23104725.2007475

509.5347975751.71882

522.74202781.6645125

534.1157625815.30088

543.91908852.8909775

552.4150275869.09298522

559.86666

566.5370325

572.6892

578.5862175

584.49114

590.6670225

597.37692

604.8838875

613.45098

623.3412525

634.81776

648.1435575

663.5817

analitical formula

extrapolated values

keep constant

temperature (K)

(J/kg K)


Foglio1



20293464.73coeff_10.4337

50323476.57coeff_2-5.77E-04

100373494.23coeff_33.51E-07

150423509.53

200473522.74

250523534.12

300573543.92

350623552.42

400673559.87

450723566.54

500773572.69

550823578.59

600873584.49

650923590.67

700973597.38

7501023604.88

8001073613.45

8501123623.34

9001173634.82

9501223648.14

10001273663.58

10501323681.40

11001373701.85

11501423725.20

12001473751.72

12501523781.66

13001573815.30

13501623852.89

13701643869.09





202938031.47coeff_1-4.42E-04202938.03coeff_1-4.42E-04

503238018.26coeff_22.07E-081003738.00coeff_22.07E-08

1003737996.28coeff_3-5.80E-112004737.95coeff_3-5.80E-11

1504237974.323005737.91

2004737952.334006737.86

2505237930.275007737.82

3005737908.106008737.77

3506237885.777009737.72

4006737863.2480010737.67

4507237840.4690011737.62

5007737817.40100012737.56

5508237794.00110013737.50

6008737770.23120014737.44

6509237746.04130015737.37

7009737721.38

75010237696.22140016737.30

80010737670.51

85011237644.21

90011737617.27

95012237589.65

100012737561.31

105013237532.20

110013737502.28

115014237471.51

120014737439.84

125015237407.22

130015737373.62

135016237339.00

137016437324.85


180020737324.85

220024737324.85

260028737324.85

287031437324.85



0273456.288040.301.002E+09124564.902731.002E+09

20293464.738031.471.076E+0974011150.2133775.09210.09202931.076E+09

50323476.578018.261.189E+09113306177.9147894.414119.43503231.189E+09

100373494.237996.281.383E+09194334645.3172164.424269.971003731.383E+09

150423509.537974.321.584E+09200382966.2197258.525094.151504231.584E+09

200473522.747952.331.789E+09205507769.6223065.525806.922004731.789E+09

250523534.127930.271.999E+09209819689.8249486.926421.442505231.999E+09

300573543.927908.102.212E+09213428115.4276437.826950.873005732.212E+09

350623552.427885.772.429E+09216441220.2303846.127408.353506232.429E+09

400673559.877863.242.648E+09218965982.0331653.227807.044006732.648E+09

450723566.547840.462.869E+09221108190.3359813.328160.094507232.869E+09

500773572.697817.403.092E+09222972443.1388293.928480.665007733.092E+09

550823578.597794.003.316E+09224662131.3417075.828781.895508233.316E+09

600873584.497770.233.543E+09226279411.9446152.729076.936008733.543E+09

650923590.677746.043.771E+09227925170.5475531.729378.956509233.771E+09

700973597.387721.384.000E+09229698971.1505232.829701.107009734.000E+09

7501023604.887696.224.232E+09231698995.7535289.330056.5275010234.232E+09

8001073613.457670.514.466E+09234021971.3565747.730458.3780010734.466E+09

8501123623.347644.214.703E+09236763086.5596667.530919.8185011234.703E+09

9001173634.827617.274.943E+09240015895.8628121.531453.9890011734.943E+09

9501223648.147589.655.187E+09243872212.9660195.532074.0395012235.187E+09

10001273663.587561.315.435E+09248421992.7692988.632793.13100012735.435E+09

10501323681.407532.205.689E+09253753201.0726613.133624.42105013235.689E+09

11001373701.857502.285.949E+09259951674.0761194.134581.06110013735.949E+09

11501423725.207471.516.216E+09267100965.3796870.335676.20115014236.216E+09

12001473751.727439.846.491E+09275282182.0833793.336922.99120014736.491E+09

12501523781.667407.226.776E+09284573808.8872127.938334.58125015236.776E+09

13001573815.307373.627.071E+09295051521.7912052.039924.13130015737.071E+09

13501623852.897339.007.378E+09306787989.1953756.841704.80135016237.378E+09

13701643869.097324.857.504E+09126254146.1970976.717219.84137016437.504E+09

14001673869.097324.857.943E+09439490892.0literature1030976.760000140016737.943E+09

18002073869.097324.851.049E+102546389675.4180020731.049E+10

22002473869.097324.851.304E+102546389675.4220024731.304E+10

26002873869.097324.851.558E+102546389675.4260028731.558E+10

28703143869.097324.851.730E+101718813030.9287031431.730E+10


027313.29coeff_013.28571

2029313.63coeff_11.76E-02

5032314.15coeff_2-5.38E-06

10037314.99coeff_34.29E-09

15042315.81

20047316.62

25052317.41

30057318.19

35062318.96

40067319.72

45072320.49

50077321.26

55082322.03

60087322.81

65092323.61

70097324.42

750102325.24

800107326.09

850112326.96

900117327.86

950122328.80

1000127329.76

1050132330.77

1100137331.81

1150142332.90

1200147334.03

1250152335.22

1300157336.46

1350162337.75

1370164338.29

1800207338.29

2200247338.29

2600287338.29

2870314338.29




1003731.679E-05coeff_14.93E-09

2004731.724E-05coeff_2-1.66E-12

3005731.765E-05

4006731.802E-05

5007731.837E-05

6008731.868E-05

7009731.896E-05

80010731.920E-05

90011731.941E-05

100012731.959E-05

110013731.974E-05

120014731.985E-05

130015731.993E-05

137016431.996E-05


220024731.996E-05

260028731.996E-05

287031431.996E-05




503231.9632E+11coeff_1-8.12E+07

1003731.9226E+11

1504231.8820E+11

2004731.8414E+11

2505231.8007E+11

3005731.7601E+11

3506231.7195E+11

4006731.6789E+11

4507231.6383E+11

5007731.5977E+11

5508231.5571E+11

6008731.5165E+11

6509231.4759E+11

7009731.4352E+11

75010231.3946E+11

80010731.3540E+11

85011231.3134E+11

90011731.2728E+11

95012231.2322E+11

100012731.1916E+11

105013231.1510E+11

110013731.1104E+11

115014231.0698E+11

120014731.0291E+11

125015239.8853E+10

130015739.4792E+10

135016239.0731E+10

137016438.9107E+10

287031438.9107E+10

90011731.2728E+11

100012731.1916E+11




503230.29568coeff_17.17E-05

1003730.29927

1504230.30285

2004730.30644

2505230.31002

3005730.31361

3506230.31719

4006730.32078

4507230.32436

5007730.32795

5508230.33153

6008730.33511

6509230.33870

7009730.34228

75010230.34587

80010730.34945

85011230.35304

90011730.35662

95012230.36021

100012730.36379

105013230.36737

110013730.37096

115014230.37454

120014730.37813

125015230.38171

130015730.38530

135016230.38888

137016430.39032

287031430.39032

90011730.36

100012730.36




503237.5759E+10

1003737.3987E+10

1504237.2225E+10

2004737.0472E+10

2505236.8729E+10

3005736.6996E+10

3506236.5272E+10

4006736.3558E+10

4507236.1853E+10

5007736.0156E+10

5508235.8470E+10

6008735.6792E+10

6509235.5123E+10

7009735.3463E+10

75010235.1812E+10

80010735.0170E+10

85011234.8536E+10

90011734.6911E+10

95012234.5294E+10

100012734.3687E+10

105013234.2087E+10

110013734.0496E+10

115014233.8913E+10

120014733.7338E+10

125015233.5772E+10

130015733.4214E+10

135016233.2663E+10

137016433.2046E+10

287031433.2046E+10

90011734.6911E+10

100012734.3687E+10


OUTOKUMPU web site:

Rm

3203606205020C

211246520100C

167198460200C

145175440300C

135164400C

129158500C

melting points

1370C

1400 C


02733.47E+0802733.47250E+086.45000E+080.50

202933.20E+08202933.20000E+086.20000E+080.50

1003732.11E+081003732.11000E+085.20000E+080.50

1504231.89E+081504231.89000E+084.90000E+080.50

2004731.67E+082004731.67000E+084.60000E+080.50

2505231.56E+082505231.56000E+084.50000E+080.50

3005731.45E+083005731.45000E+084.40000E+080.50

3506231.40E+083506231.40000E+084.30000E+080.50

4006731.35E+084006731.35000E+084.20000E+080.50

4507231.32E+084507231.32000E+084.10000E+080.50

5007731.29E+085007731.29000E+084.00000E+080.50

5508231.26E+085508231.26000E+083.90000E+080.50

6008731.23E+086008731.23000E+083.80000E+080.50

6509231.20E+086509231.20000E+083.70000E+080.50

7009731.17E+087009731.17000E+083.60000E+080.50

75010231.14E+0875010231.14000E+083.50000E+080.50

80010731.11E+0880010731.11000E+083.40000E+080.50

85011231.08E+0885011231.08000E+083.30000E+080.50

90011731.05E+0890011731.05000E+083.20000E+080.50

95012231.02E+0895012231.02000E+083.10000E+080.50

100012739.90E+07100012739.90000E+073.00000E+080.50

105013239.60E+07105013239.60000E+072.90000E+080.50

110013739.30E+07110013739.30000E+072.80000E+080.50

115014239.00E+07115014239.00000E+072.70000E+080.50

120014738.70E+07120014738.70000E+072.60000E+080.50

125015238.40E+07125015238.40000E+072.50000E+080.50

130015738.10E+07130015738.10000E+072.40000E+080.50

135016237.80E+07135016237.80000E+072.30000E+080.50

137016437.68E+07137016437.68000E+072.26000E+080.50

287031437.68E+07287031437.68000E+072.26000E+080.50


02736.45E+08

202936.20E+08

1003735.20E+08

1504234.90E+08

2004734.60E+08

2505234.50E+08

3005734.40E+08

3506234.30E+08

4006734.20E+08

4507234.10E+08

5007734.00E+08

5508233.90E+08

6008733.80E+08

6509233.70E+08

7009733.60E+08

75010233.50E+08

80010733.40E+08

85011233.30E+08

90011733.20E+08

95012233.10E+08

100012733.00E+08

105013232.90E+08

110013732.80E+08

115014232.70E+08

120014732.60E+08

125015232.50E+08

130015732.40E+08

135016232.30E+08

137016432.26E+08

287031432.26E+08

Foglio1

analitical formula

extrapolated values

keep constant

temperature (K)

(J/kg K)


Foglio2

density (kg/m3)

temperature (K)

(kg/m3)

density AISI 316 LN

Foglio3

entalpy (J/m3)

temperature (K)

(J/m3)

entalpy (J/m3)

anlitical formula

extrapolated values

keep constant

temperature

(W/ m K)


alpha average (1/K)

temperature (K)

(m/m k)


200379500000

196318450000

192257400000

188196350000

184135300000

180074250000

176013200000

171952150000

167891100000

163830050000

159769000000

155707950000

151646900000

147585850000

143524800000

139463750000

135402700000

131341650000

127280600000

123219550000

119158500000

115097450000

111036400000

106975350000

102914300000

98853250000

94792200000

90731150000

89106730000

Young mod (GPa)

temperature (K)

(GPa)

Young Modulus (Pa)

0.2921

0.2956845

0.299269

0.3028535

0.306438

0.3100225

0.313607

0.3171915

0.320776

0.3243605

0.327945

0.3315295

0.335114

0.3386985

0.342283

0.3458675

0.349452

0.3530365

0.356621

0.3602055

0.36379

0.3673745

0.370959

0.3745435

0.378128

0.3817125

0.385297

0.3888815

0.3903153

0.3903153

Poisson coeff.

temperature (K)

Poisson coeff.

shear modulus (GPa)

temperature (K)

(GPa)

shear modulus (G)

Yield strength (Pa)

temperature (K)

(Pa)

Yield strength (Pa)


temperature (K)

(Pa)


Grafico3

8040.37561.3127324.848200056

8031.4748196167532.2024597324.848200056

8018.2620197502.2822127324.848200056

7996.2840527471.5077237324.848200056

7974.3225637439.8354567324.848200056

7952.3340167407.2218757324.848200056

7930.2748757373.623444

7908.1016047338.996627

7885.7706677324.848200056

7863.238528

7840.461651

7817.3965

7793.999539

7770.227232

7746.036043

7721.382436

7696.222875

7670.513824

7644.211747

7617.273108

7589.654371

7561.312

analitical formula

extrapolated values

keep constant

temperature (K)

(kg/m3)

density AISI 316 LN

Foglio1



20293464.73coeff_10.4337

50323476.57coeff_2-5.77E-04

100373494.23coeff_33.51E-07

150423509.53

200473522.74

250523534.12

300573543.92

350623552.42

400673559.87

450723566.54

500773572.69

550823578.59

600873584.49

650923590.67

700973597.38

7501023604.88

8001073613.45

8501123623.34

9001173634.82

9501223648.14

10001273663.58

10501323681.40

11001373701.85

11501423725.20

12001473751.72

12501523781.66

13001573815.30

13501623852.89

13701643869.09



temp (C)temp (K)density (kg/m3)temp (C)temp (K)density from another formula (kg/m3)


202938031.47coeff_1-4.42E-04202938.03coeff_1-4.42E-04

503238018.26coeff_22.07E-081003738.00coeff_22.07E-08

1003737996.28coeff_3-5.80E-112004737.95coeff_3-5.80E-11

1504237974.323005737.91

2004737952.334006737.86

2505237930.275007737.82

3005737908.106008737.77

3506237885.777009737.72

4006737863.2480010737.67

4507237840.4690011737.62

5007737817.40100012737.56

5508237794.00110013737.50

6008737770.23120014737.44

6509237746.04130015737.37

7009737721.38

75010237696.22140016737.30

80010737670.51

85011237644.21

90011737617.27

95012237589.65

100012737561.31

105013237532.20

110013737502.28

115014237471.51

120014737439.84

125015237407.22

130015737373.62

135016237339.00

137016437324.85


180020737324.85

220024737324.85

260028737324.85

287031437324.85


temp (C)temp (K)spe heat (J/kg K)density (kg/m3)entalpy (J/m3)delta H (J/m3)entalpy (J/kg)delta H (J/kg)

0273456.288040.301.002E+09124564.902731.002E+09

20293464.738031.471.076E+0974011150.2133775.09210.09202931.076E+09

50323476.578018.261.189E+09113306177.9147894.414119.43503231.189E+09

100373494.237996.281.383E+09194334645.3172164.424269.971003731.383E+09

150423509.537974.321.584E+09200382966.2197258.525094.151504231.584E+09

200473522.747952.331.789E+09205507769.6223065.525806.922004731.789E+09

250523534.127930.271.999E+09209819689.8249486.926421.442505231.999E+09

300573543.927908.102.212E+09213428115.4276437.826950.873005732.212E+09

350623552.427885.772.429E+09216441220.2303846.127408.353506232.429E+09

400673559.877863.242.648E+09218965982.0331653.227807.044006732.648E+09

450723566.547840.462.869E+09221108190.3359813.328160.094507232.869E+09

500773572.697817.403.092E+09222972443.1388293.928480.665007733.092E+09

550823578.597794.003.316E+09224662131.3417075.828781.895508233.316E+09

600873584.497770.233.543E+09226279411.9446152.729076.936008733.543E+09

650923590.677746.043.771E+09227925170.5475531.729378.956509233.771E+09

700973597.387721.384.000E+09229698971.1505232.829701.107009734.000E+09

7501023604.887696.224.232E+09231698995.7535289.330056.5275010234.232E+09

8001073613.457670.514.466E+09234021971.3565747.730458.3780010734.466E+09

8501123623.347644.214.703E+09236763086.5596667.530919.8185011234.703E+09

9001173634.827617.274.943E+09240015895.8628121.531453.9890011734.943E+09

9501223648.147589.655.187E+09243872212.9660195.532074.0395012235.187E+09

10001273663.587561.315.435E+09248421992.7692988.632793.13100012735.435E+09

10501323681.407532.205.689E+09253753201.0726613.133624.42105013235.689E+09

11001373701.857502.285.949E+09259951674.0761194.134581.06110013735.949E+09

11501423725.207471.516.216E+09267100965.3796870.335676.20115014236.216E+09

12001473751.727439.846.491E+09275282182.0833793.336922.99120014736.491E+09

12501523781.667407.226.776E+09284573808.8872127.938334.58125015236.776E+09

13001573815.307373.627.071E+09295051521.7912052.039924.13130015737.071E+09

13501623852.897339.007.378E+09306787989.1953756.841704.80135016237.378E+09

13701643869.097324.857.504E+09126254146.1970976.717219.84137016437.504E+09

14001673869.097324.857.943E+09439490892.0literature1030976.760000140016737.943E+09

18002073869.097324.851.049E+102546389675.4180020731.049E+10

22002473869.097324.851.304E+102546389675.4220024731.304E+10

26002873869.097324.851.558E+102546389675.4260028731.558E+10

28703143869.097324.851.730E+101718813030.9287031431.730E+10


027313.29coeff_013.28571

2029313.63coeff_11.76E-02

5032314.15coeff_2-5.38E-06

10037314.99coeff_34.29E-09

15042315.81

20047316.62

25052317.41

30057318.19

35062318.96

40067319.72

45072320.49

50077321.26

55082322.03

60087322.81

65092323.61

70097324.42

750102325.24

800107326.09

850112326.96

900117327.86

950122328.80

1000127329.76

1050132330.77

1100137331.81

1150142332.90

1200147334.03

1250152335.22

1300157336.46

1350162337.75

1370164338.29

1800207338.29

2200247338.29

2600287338.29

2870314338.29




1003731.679E-05coeff_14.93E-09

2004731.724E-05coeff_2-1.66E-12

3005731.765E-05

4006731.802E-05

5007731.837E-05

6008731.868E-05

7009731.896E-05

80010731.920E-05

90011731.941E-05

100012731.959E-05

110013731.974E-05

120014731.985E-05

130015731.993E-05

137016431.996E-05


220024731.996E-05

260028731.996E-05

287031431.996E-05




503231.9632E+11coeff_1-8.12E+07

1003731.9226E+11

1504231.8820E+11

2004731.8414E+11

2505231.8007E+11

3005731.7601E+11

3506231.7195E+11

4006731.6789E+11

4507231.6383E+11

5007731.5977E+11

5508231.5571E+11

6008731.5165E+11

6509231.4759E+11

7009731.4352E+11

75010231.3946E+11

80010731.3540E+11

85011231.3134E+11

90011731.2728E+11

95012231.2322E+11

100012731.1916E+11

105013231.1510E+11

110013731.1104E+11

115014231.0698E+11

120014731.0291E+11

125015239.8853E+10

130015739.4792E+10

135016239.0731E+10

137016438.9107E+10

287031438.9107E+10

90011731.2728E+11

100012731.1916E+11




503230.29568coeff_17.17E-05

1003730.29927

1504230.30285

2004730.30644

2505230.31002

3005730.31361

3506230.31719

4006730.32078

4507230.32436

5007730.32795

5508230.33153

6008730.33511

6509230.33870

7009730.34228

75010230.34587

80010730.34945

85011230.35304

90011730.35662

95012230.36021

100012730.36379

105013230.36737

110013730.37096

115014230.37454

120014730.37813

125015230.38171

130015730.38530

135016230.38888

137016430.39032

287031430.39032

90011730.36

100012730.36




503237.5759E+10

1003737.3987E+10

1504237.2225E+10

2004737.0472E+10

2505236.8729E+10

3005736.6996E+10

3506236.5272E+10

4006736.3558E+10

4507236.1853E+10

5007736.0156E+10

5508235.8470E+10

6008735.6792E+10

6509235.5123E+10

7009735.3463E+10

75010235.1812E+10

80010735.0170E+10

85011234.8536E+10

90011734.6911E+10

95012234.5294E+10

100012734.3687E+10

105013234.2087E+10

110013734.0496E+10

115014233.8913E+10

120014733.7338E+10

125015233.5772E+10

130015733.4214E+10

135016233.2663E+10

137016433.2046E+10

287031433.2046E+10

90011734.6911E+10

100012734.3687E+10


OUTOKUMPU web site:

Rp 0.2Rp 1RmA5%

3203606205020C

211246520100C

167198460200C

145175440300C

135164400C

129158500C

melting points

1370C

1400 C


02733.47E+0802733.47250E+086.45000E+080.50

202933.20E+08202933.20000E+086.20000E+080.50

1003732.11E+081003732.11000E+085.20000E+080.50

1504231.89E+081504231.89000E+084.90000E+080.50

2004731.67E+082004731.67000E+084.60000E+080.50

2505231.56E+082505231.56000E+084.50000E+080.50

3005731.45E+083005731.45000E+084.40000E+080.50

3506231.40E+083506231.40000E+084.30000E+080.50

4006731.35E+084006731.35000E+084.20000E+080.50

4507231.32E+084507231.32000E+084.10000E+080.50

5007731.29E+085007731.29000E+084.00000E+080.50

5508231.26E+085508231.26000E+083.90000E+080.50

6008731.23E+086008731.23000E+083.80000E+080.50

6509231.20E+086509231.20000E+083.70000E+080.50

7009731.17E+087009731.17000E+083.60000E+080.50

75010231.14E+0875010231.14000E+083.50000E+080.50

80010731.11E+0880010731.11000E+083.40000E+080.50

85011231.08E+0885011231.08000E+083.30000E+080.50

90011731.05E+0890011731.05000E+083.20000E+080.50

95012231.02E+0895012231.02000E+083.10000E+080.50

100012739.90E+07100012739.90000E+073.00000E+080.50

105013239.60E+07105013239.60000E+072.90000E+080.50

110013739.30E+07110013739.30000E+072.80000E+080.50

115014239.00E+07115014239.00000E+072.70000E+080.50

120014738.70E+07120014738.70000E+072.60000E+080.50

125015238.40E+07125015238.40000E+072.50000E+080.50

130015738.10E+07130015738.10000E+072.40000E+080.50

135016237.80E+07135016237.80000E+072.30000E+080.50

137016437.68E+07137016437.68000E+072.26000E+080.50

287031437.68E+07287031437.68000E+072.26000E+080.50


02736.45E+08

202936.20E+08

1003735.20E+08

1504234.90E+08

2004734.60E+08

2505234.50E+08

3005734.40E+08

3506234.30E+08

4006734.20E+08

4507234.10E+08

5007734.00E+08

5508233.90E+08

6008733.80E+08

6509233.70E+08

7009733.60E+08

75010233.50E+08

80010733.40E+08

85011233.30E+08

90011733.20E+08

95012233.10E+08

100012733.00E+08

105013232.90E+08

110013732.80E+08

115014232.70E+08

120014732.60E+08

125015232.50E+08

130015732.40E+08

135016232.30E+08

137016432.26E+08

287031432.26E+08

Foglio1

000

000

00

00

00

00

00

00

00

0

0

0

0

0

0

0

0

0

0

0

0

0

analitical formula

extrapolated values

keep constant

temperature (K)

(J/kg K)


Foglio2

000

000

000

000

000

000

00

00

00

0

0

0

0

0

0

0

0

0

0

0

0

0

analitical formula

extrapolated values

keep constant

temperature (K)

(kg/m3)

density AISI 316 LN

Foglio3

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

entalpy (J/m3)

temperature (K)

(J/m3)

entalpy (J/m3)

000

000

000

000

000

00

00

00

00

0

0

0

0

0

0

0

0

0

0

0

0

0

anlitical formula

extrapolated values

keep constant

temperature

(W/ m K)


0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

alpha average (1/K)

temperature (K)

(m/m k)


200379500000

196318450000

192257400000

188196350000

184135300000

180074250000

176013200000

171952150000

167891100000

163830050000

159769000000

155707950000

151646900000

147585850000

143524800000

139463750000

135402700000

131341650000

127280600000

123219550000

119158500000

115097450000

111036400000

106975350000

102914300000

98853250000

94792200000

90731150000

89106730000

Young mod (GPa)

temperature (K)

(GPa)

Young Modulus (Pa)

0.2921

0.2956845

0.299269

0.3028535

0.306438

0.3100225

0.313607

0.3171915

0.320776

0.3243605

0.327945

0.3315295

0.335114

0.3386985

0.342283

0.3458675

0.349452

0.3530365

0.356621

0.3602055

0.36379

0.3673745

0.370959

0.3745435

0.378128

0.3817125

0.385297

0.3888815

0.3903153

0.3903153

Poisson coeff.

temperature (K)

Poisson coeff.

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

shear modulus (GPa)

temperature (K)

(GPa)

shear modulus (G)

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

Yield strength (Pa)

temperature (K)

(Pa)

Yield strength (Pa)

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


temperature (K)

(Pa)


Grafico5

1001539198.435237503932875.949427943423767.95278

1075550348.600227943423767.9527810489813443.3408

1188856526.49933

1383191171.82184

1583574137.98669

1789081907.5397

1998901597.30463

2212329712.75199

2428770932.99415

2647736914.95408

2868845105.25559

3091817548.38258

3316479679.65501

3542759091.5692

3770684262.05006

4000383233.16293

4232082228.83273

4466104200.11786

4702867286.58676

4942883182.34451

5186755395.25725

5435177387.92208

5688930588.92996

5948882262.96933

6215983228.31812

6491265410.27164

6775839219.0542

7070890740.76188

7377678729.88427

7503932875.94942

constructed from previous values

literature

extrapolated values

temperature (K)

(J/m3)

entalpy (J/m3)

Foglio1



20293464.73coeff_10.4337

50323476.57coeff_2-5.77E-04

100373494.23coeff_33.51E-07

150423509.53

200473522.74

250523534.12

300573543.92

350623552.42

400673559.87

450723566.54

500773572.69

550823578.59

600873584.49

650923590.67

700973597.38

7501023604.88

8001073613.45

8501123623.34

9001173634.82

9501223648.14

10001273663.58

10501323681.40

11001373701.85

11501423725.20

12001473751.72

12501523781.66

13001573815.30

13501623852.89

13701643869.09





202938031.47coeff_1-4.42E-04202938.03coeff_1-4.42E-04

503238018.26coeff_22.07E-081003738.00coeff_22.07E-08

1003737996.28coeff_3-5.80E-112004737.95coeff_3-5.80E-11

1504237974.323005737.91

2004737952.334006737.86

2505237930.275007737.82

3005737908.106008737.77

3506237885.777009737.72

4006737863.2480010737.67

4507237840.4690011737.62

5007737817.40100012737.56

5508237794.00110013737.50

6008737770.23120014737.44

6509237746.04130015737.37

7009737721.38

75010237696.22140016737.30

80010737670.51

85011237644.21

90011737617.27

95012237589.65

100012737561.31

105013237532.20

110013737502.28

115014237471.51

120014737439.84

125015237407.22

130015737373.62

135016237339.00

137016437324.85


180020737324.85

220024737324.85

260028737324.85

287031437324.85



0273456.288040.301.002E+09124564.902731.002E+09

20293464.738031.471.076E+0974011150.2133775.09210.09202931.076E+09

50323476.578018.261.189E+09113306177.9147894.414119.43503231.189E+09

100373494.237996.281.383E+09194334645.3172164.424269.971003731.383E+09

150423509.537974.321.584E+09200382966.2197258.525094.151504231.584E+09

200473522.747952.331.789E+09205507769.6223065.525806.922004731.789E+09

250523534.127930.271.999E+09209819689.8249486.926421.442505231.999E+09

300573543.927908.102.212E+09213428115.4276437.826950.873005732.212E+09

350623552.427885.772.429E+09216441220.2303846.127408.353506232.429E+09

400673559.877863.242.648E+09218965982.0331653.227807.044006732.648E+09

450723566.547840.462.869E+09221108190.3359813.328160.094507232.869E+09

500773572.697817.403.092E+09222972443.1388293.928480.665007733.092E+09

550823578.597794.003.316E+09224662131.3417075.828781.895508233.316E+09

600873584.497770.233.543E+09226279411.9446152.729076.936008733.543E+09

650923590.677746.043.771E+09227925170.5475531.729378.956509233.771E+09

700973597.387721.384.000E+09229698971.1505232.829701.107009734.000E+09

7501023604.887696.224.232E+09231698995.7535289.330056.5275010234.232E+09

8001073613.457670.514.466E+09234021971.3565747.730458.3780010734.466E+09

8501123623.347644.214.703E+09236763086.5596667.530919.8185011234.703E+09

9001173634.827617.274.943E+09240015895.8628121.531453.9890011734.943E+09

9501223648.147589.655.187E+09243872212.9660195.532074.0395012235.187E+09

10001273663.587561.315.435E+09248421992.7692988.632793.13100012735.435E+09

10501323681.407532.205.689E+09253753201.0726613.133624.42105013235.689E+09

11001373701.857502.285.949E+09259951674.0761194.134581.06110013735.949E+09

11501423725.207471.516.216E+09267100965.3796870.335676.20115014236.216E+09

12001473751.727439.846.491E+09275282182.0833793.336922.99120014736.491E+09

12501523781.667407.226.776E+09284573808.8872127.938334.58125015236.776E+09

13001573815.307373.627.071E+09295051521.7912052.039924.13130015737.071E+09

13501623852.897339.007.378E+09306787989.1953756.841704.80135016237.378E+09

13701643869.097324.857.504E+09126254146.1970976.717219.84137016437.504E+09

14001673869.097324.857.943E+09439490892.0literature1030976.760000140016737.943E+09

18002073869.097324.851.049E+102546389675.4180020731.049E+10

22002473869.097324.851.304E+102546389675.4220024731.304E+10

26002873869.097324.851.558E+102546389675.4260028731.558E+10

28703143869.097324.851.730E+101718813030.9287031431.730E+10


027313.29coeff_013.28571

2029313.63coeff_11.76E-02

5032314.15coeff_2-5.38E-06

10037314.99coeff_34.29E-09

15042315.81

20047316.62

25052317.41

30057318.19

35062318.96

40067319.72

45072320.49

50077321.26

55082322.03

60087322.81

65092323.61

70097324.42

750102325.24

800107326.09

850112326.96

900117327.86

950122328.80

1000127329.76

1050132330.77

1100137331.81

1150142332.90

1200147334.03

1250152335.22

1300157336.46

1350162337.75

1370164338.29

1800207338.29

2200247338.29

2600287338.29

2870314338.29




1003731.679E-05coeff_14.93E-09

2004731.724E-05coeff_2-1.66E-12

3005731.765E-05

4006731.802E-05

5007731.837E-05

6008731.868E-05

7009731.896E-05

80010731.920E-05

90011731.941E-05

100012731.959E-05

110013731.974E-05

120014731.985E-05

130015731.993E-05

137016431.996E-05


220024731.996E-05

260028731.996E-05

287031431.996E-05




503231.9632E+11coeff_1-8.12E+07

1003731.9226E+11

1504231.8820E+11

2004731.8414E+11

2505231.8007E+11

3005731.7601E+11

3506231.7195E+11

4006731.6789E+11

4507231.6383E+11

5007731.5977E+11

5508231.5571E+11

6008731.5165E+11

6509231.4759E+11

7009731.4352E+11

75010231.3946E+11

80010731.3540E+11

85011231.3134E+11

90011731.2728E+11

95012231.2322E+11

100012731.1916E+11

105013231.1510E+11

110013731.1104E+11

115014231.0698E+11

120014731.0291E+11

125015239.8853E+10

130015739.4792E+10

135016239.0731E+10

137016438.9107E+10

287031438.9107E+10

90011731.2728E+11

100012731.1916E+11




503230.29568coeff_17.17E-05

1003730.29927

1504230.30285

2004730.30644

2505230.31002

3005730.31361

3506230.31719

4006730.32078

4507230.32436

5007730.32795

5508230.33153

6008730.33511

6509230.33870

7009730.34228

75010230.34587

80010730.34945

85011230.35304

90011730.35662

95012230.36021

100012730.36379

105013230.36737

110013730.37096

115014230.37454

120014730.37813

125015230.38171

130015730.38530

135016230.38888

137016430.39032

287031430.39032

90011730.36

100012730.36




503237.5759E+10

1003737.3987E+10

1504237.2225E+10

2004737.0472E+10

2505236.8729E+10

3005736.6996E+10

3506236.5272E+10

4006736.3558E+10

4507236.1853E+10

5007736.0156E+10

5508235.8470E+10

6008735.6792E+10

6509235.5123E+10

7009735.3463E+10

75010235.1812E+10

80010735.0170E+10

85011234.8536E+10

90011734.6911E+10

95012234.5294E+10

100012734.3687E+10

105013234.2087E+10

110013734.0496E+10

115014233.8913E+10

120014733.7338E+10

125015233.5772E+10

130015733.4214E+10

135016233.2663E+10

137016433.2046E+10

287031433.2046E+10

90011734.6911E+10

100012734.3687E+10


OUTOKUMPU web site:

Rm

3203606205020C

211246520100C

167198460200C

145175440300C

135164400C

129158500C

melting points

1370C

1400 C


02733.47E+0802733.47250E+086.45000E+080.50

202933.20E+08202933.20000E+086.20000E+080.50

1003732.11E+081003732.11000E+085.20000E+080.50

1504231.89E+081504231.89000E+084.90000E+080.50

2004731.67E+082004731.67000E+084.60000E+080.50

2505231.56E+082505231.56000E+084.50000E+080.50

3005731.45E+083005731.45000E+084.40000E+080.50

3506231.40E+083506231.40000E+084.30000E+080.50

4006731.35E+084006731.35000E+084.20000E+080.50

4507231.32E+084507231.32000E+084.10000E+080.50

5007731.29E+085007731.29000E+084.00000E+080.50

5508231.26E+085508231.26000E+083.90000E+080.50

6008731.23E+086008731.23000E+083.80000E+080.50

6509231.20E+086509231.20000E+083.70000E+080.50

7009731.17E+087009731.17000E+083.60000E+080.50

75010231.14E+0875010231.14000E+083.50000E+080.50

80010731.11E+0880010731.11000E+083.40000E+080.50

85011231.08E+0885011231.08000E+083.30000E+080.50

90011731.05E+0890011731.05000E+083.20000E+080.50

95012231.02E+0895012231.02000E+083.10000E+080.50

100012739.90E+07100012739.90000E+073.00000E+080.50

105013239.60E+07105013239.60000E+072.90000E+080.50

110013739.30E+07110013739.30000E+072.80000E+080.50

115014239.00E+07115014239.00000E+072.70000E+080.50

120014738.70E+07120014738.70000E+072.60000E+080.50

125015238.40E+07125015238.40000E+072.50000E+080.50

130015738.10E+07130015738.10000E+072.40000E+080.50

135016237.80E+07135016237.80000E+072.30000E+080.50

137016437.68E+07137016437.68000E+072.26000E+080.50

287031437.68E+07287031437.68000E+072.26000E+080.50


02736.45E+08

202936.20E+08

1003735.20E+08

1504234.90E+08

2004734.60E+08

2505234.50E+08

3005734.40E+08

3506234.30E+08

4006734.20E+08

4507234.10E+08

5007734.00E+08

5508233.90E+08

6008733.80E+08

6509233.70E+08

7009733.60E+08

75010233.50E+08

80010733.40E+08

85011233.30E+08

90011733.20E+08

95012233.10E+08

100012733.00E+08

105013232.90E+08

110013732.80E+08

115014232.70E+08

120014732.60E+08

125015232.50E+08

130015732.40E+08

135016232.30E+08

137016432.26E+08

287031432.26E+08

Foglio1

analitical formula

extrapolated values

keep constant

temperature (K)

(J/kg K)


Foglio2

analitical formula

extrapolated values

keep constant

temperature (K)

(kg/m3)

density AISI 316 LN

Foglio3


literature

extrapolated values

temperature (K)

(J/m3)

entalpy (J/m3)

anlitical formula

extrapolated values

keep constant

temperature

(W/ m K)


alpha average (1/K)

temperature (K)

(m/m k)


200379500000

196318450000

192257400000

188196350000

184135300000

180074250000

176013200000

171952150000

167891100000

163830050000

159769000000

155707950000

151646900000

147585850000

143524800000

139463750000

135402700000

131341650000

127280600000

123219550000

119158500000

115097450000

111036400000

106975350000

102914300000

98853250000

94792200000

90731150000

89106730000

Young mod (GPa)

temperature (K)

(GPa)

Young Modulus (Pa)

0.2921

0.2956845

0.299269

0.3028535

0.306438

0.3100225

0.313607

0.3171915

0.320776

0.3243605

0.327945

0.3315295

0.335114

0.3386985

0.342283

0.3458675

0.349452

0.3530365

0.356621

0.3602055

0.36379

0.3673745

0.370959

0.3745435

0.378128

0.3817125

0.385297

0.3888815

0.3903153

0.3903153

Poisson coeff.

temperature (K)

Poisson coeff.

shear modulus (GPa)

temperature (K)

(GPa)

shear modulus (G)

Yield strength (Pa)

temperature (K)

(Pa)

Yield strength (Pa)


temperature (K)

(Pa)


Grafico6

0.00001631530.00001920170.0000199631

0.00001679220.00001941320.0000199631

0.00001723590.00001959160.0000199631

0.00001764650.00001973680.0000199631

0.00001802390.00001984880.0000199631

0.00001836810.0000199277

0.00001867910.0000199631

0.000018957

0.0000192017

analitical formula

extrapolated values

keep constant

temperature (K)

(m/m k)


Foglio1



20293464.73coeff_10.4337

50323476.57coeff_2-5.77E-04

100373494.23coeff_33.51E-07

150423509.53

200473522.74

250523534.12

300573543.92

350623552.42

400673559.87

450723566.54

500773572.69

550823578.59

600873584.49

650923590.67

700973597.38

7501023604.88

8001073613.45

8501123623.34

9001173634.82

9501223648.14

10001273663.58

10501323681.40

11001373701.85

11501423725.20

12001473751.72

12501523781.66

13001573815.30

13501623852.89

13701643869.09





202938031.47coeff_1-4.42E-04202938.03coeff_1-4.42E-04

503238018.26coeff_22.07E-081003738.00coeff_22.07E-08

1003737996.28coeff_3-5.80E-112004737.95coeff_3-5.80E-11

1504237974.323005737.91

2004737952.334006737.86

2505237930.275007737.82

3005737908.106008737.77

3506237885.777009737.72

4006737863.2480010737.67

4507237840.4690011737.62

5007737817.40100012737.56

5508237794.00110013737.50

6008737770.23120014737.44

6509237746.04130015737.37

7009737721.38

75010237696.22140016737.30

80010737670.51

85011237644.21

90011737617.27

95012237589.65

100012737561.31

105013237532.20

110013737502.28

115014237471.51

120014737439.84

125015237407.22

130015737373.62

135016237339.00

137016437324.85


180020737324.85

220024737324.85

260028737324.85

287031437324.85



0273456.288040.301.002E+09124564.902731.002E+09

20293464.738031.471.076E+0974011150.2133775.09210.09202931.076E+09

50323476.578018.261.189E+09113306177.9147894.414119.43503231.189E+09

100373494.237996.281.383E+09194334645.3172164.424269.971003731.383E+09

150423509.537974.321.584E+09200382966.2197258.525094.151504231.584E+09

200473522.747952.331.789E+09205507769.6223065.525806.922004731.789E+09

250523534.127930.271.999E+09209819689.8249486.926421.442505231.999E+09

300573543.927908.102.212E+09213428115.4276437.826950.873005732.212E+09

350623552.427885.772.429E+09216441220.2303846.127408.353506232.429E+09

400673559.877863.242.648E+09218965982.0331653.227807.044006732.648E+09

450723566.547840.462.869E+09221108190.3359813.328160.094507232.869E+09

500773572.697817.403.092E+09222972443.1388293.928480.665007733.092E+09

550823578.597794.003.316E+09224662131.3417075.828781.895508233.316E+09

600873584.497770.233.543E+09226279411.9446152.729076.936008733.543E+09

650923590.677746.043.771E+09227925170.5475531.729378.956509233.771E+09

700973597.387721.384.000E+09229698971.1505232.829701.107009734.000E+09

7501023604.887696.224.232E+09231698995.7535289.330056.5275010234.232E+09

8001073613.457670.514.466E+09234021971.3565747.730458.3780010734.466E+09

8501123623.347644.214.703E+09236763086.5596667.530919.8185011234.703E+09

9001173634.827617.274.943E+09240015895.8628121.531453.9890011734.943E+09

9501223648.147589.655.187E+09243872212.9660195.532074.0395012235.187E+09

10001273663.587561.315.435E+09248421992.7692988.632793.13100012735.435E+09

10501323681.407532.205.689E+09253753201.0726613.133624.42105013235.689E+09

11001373701.857502.285.949E+09259951674.0761194.134581.06110013735.949E+09

11501423725.207471.516.216E+09267100965.3796870.335676.20115014236.216E+09

12001473751.727439.846.491E+09275282182.0833793.336922.99120014736.491E+09

12501523781.667407.226.776E+09284573808.8872127.938334.58125015236.776E+09

13001573815.307373.627.071E+09295051521.7912052.039924.13130015737.071E+09

13501623852.897339.007.378E+09306787989.1953756.841704.80135016237.378E+09

13701643869.097324.857.504E+09126254146.1970976.717219.84137016437.504E+09

14001673869.097324.857.943E+09439490892.0literature1030976.760000140016737.943E+09

18002073869.097324.851.049E+102546389675.4180020731.049E+10

22002473869.097324.851.304E+102546389675.4220024731.304E+10

26002873869.097324.851.558E+102546389675.4260028731.558E+10

28703143869.097324.851.730E+101718813030.9287031431.730E+10


027313.29coeff_013.28571

2029313.63coeff_11.76E-02

5032314.15coeff_2-5.38E-06

10037314.99coeff_34.29E-09

15042315.81

20047316.62

25052317.41

30057318.19

35062318.96

40067319.72

45072320.49

50077321.26

55082322.03

60087322.81

65092323.61

70097324.42

750102325.24

800107326.09

850112326.96

900117327.86

950122328.80

1000127329.76

1050132330.77

1100137331.81

1150142332.90

1200147334.03

1250152335.22

1300157336.46

1350162337.75

1370164338.29

1800207338.29

2200247338.29

2600287338.29

2870314338.29




1003731.679E-05coeff_14.93E-09

2004731.724E-05coeff_2-1.66E-12

3005731.765E-05

4006731.802E-05

5007731.837E-05

6008731.868E-05

7009731.896E-05

80010731.920E-05

90011731.941E-05

100012731.959E-05

110013731.974E-05

120014731.985E-05

130015731.993E-05

137016431.996E-05


220024731.996E-05

260028731.996E-05

287031431.996E-05




503231.9632E+11coeff_1-8.12E+07

1003731.9226E+11

1504231.8820E+11

2004731.8414E+11

2505231.8007E+11

3005731.7601E+11

3506231.7195E+11

4006731.6789E+11

4507231.6383E+11

5007731.5977E+11

5508231.5571E+11

6008731.5165E+11

6509231.4759E+11

7009731.4352E+11

75010231.3946E+11

80010731.3540E+11

85011231.3134E+11

90011731.2728E+11

95012231.2322E+11

100012731.1916E+11

105013231.1510E+11

110013731.1104E+11

115014231.0698E+11

120014731.0291E+11

125015239.8853E+10

130015739.4792E+10

135016239.0731E+10

137016438.9107E+10

287031438.9107E+10

90011731.2728E+11

100012731.1916E+11




503230.29568coeff_17.17E-05

1003730.29927

1504230.30285

2004730.30644

2505230.31002

3005730.31361

3506230.31719

4006730.32078

4507230.32436

5007730.32795

5508230.33153

6008730.33511

6509230.33870

7009730.34228

75010230.34587

80010730.34945

85011230.35304

90011730.35662

95012230.36021

100012730.36379

105013230.36737

110013730.37096

115014230.37454

120014730.37813

125015230.38171

130015730.38530

135016230.38888

137016430.39032

287031430.39032

90011730.36

100012730.36




503237.5759E+10

1003737.3987E+10

1504237.2225E+10

2004737.0472E+10

2505236.8729E+10

3005736.6996E+10

3506236.5272E+10

4006736.3558E+10

4507236.1853E+10

5007736.0156E+10

5508235.8470E+10

6008735.6792E+10

6509235.5123E+10

7009735.3463E+10

75010235.1812E+10

80010735.0170E+10

85011234.8536E+10

90011734.6911E+10

95012234.5294E+10

100012734.3687E+10

105013234.2087E+10

110013734.0496E+10

115014233.8913E+10

120014733.7338E+10

125015233.5772E+10

130015733.4214E+10

135016233.2663E+10

137016433.2046E+10

287031433.2046E+10

90011734.6911E+10

100012734.3687E+10


OUTOKUMPU web site:

Rm

3203606205020C

211246520100C

167198460200C

145175440300C

135164400C

129158500C

melting points

1370C

1400 C


02733.47E+0802733.47250E+086.45000E+080.50

202933.20E+08202933.20000E+086.20000E+080.50

1003732.11E+081003732.11000E+085.20000E+080.50

1504231.89E+081504231.89000E+084.90000E+080.50

2004731.67E+082004731.67000E+084.60000E+080.50

2505231.56E+082505231.56000E+084.50000E+080.50

3005731.45E+083005731.45000E+084.40000E+080.50

3506231.40E+083506231.40000E+084.30000E+080.50

4006731.35E+084006731.35000E+084.20000E+080.50

4507231.32E+084507231.32000E+084.10000E+080.50

5007731.29E+085007731.29000E+084.00000E+080.50

5508231.26E+085508231.26000E+083.90000E+080.50

6008731.23E+086008731.23000E+083.80000E+080.50

6509231.20E+086509231.20000E+083.70000E+080.50

7009731.17E+087009731.17000E+083.60000E+080.50

75010231.14E+0875010231.14000E+083.50000E+080.50

80010731.11E+0880010731.11000E+083.40000E+080.50

85011231.08E+0885011231.08000E+083.30000E+080.50

90011731.05E+0890011731.05000E+083.20000E+080.50

95012231.02E+0895012231.02000E+083.10000E+080.50

100012739.90E+07100012739.90000E+073.00000E+080.50

105013239.60E+07105013239.60000E+072.90000E+080.50

110013739.30E+07110013739.30000E+072.80000E+080.50

115014239.00E+07115014239.00000E+072.70000E+080.50

120014738.70E+07120014738.70000E+072.60000E+080.50

125015238.40E+07125015238.40000E+072.50000E+080.50

130015738.10E+07130015738.10000E+072.40000E+080.50

135016237.80E+07135016237.80000E+072.30000E+080.50

137016437.68E+07137016437.68000E+072.26000E+080.50

287031437.68E+07287031437.68000E+072.26000E+080.50


02736.45E+08

202936.20E+08

1003735.20E+08

1504234.90E+08

2004734.60E+08

2505234.50E+08

3005734.40E+08

3506234.30E+08

4006734.20E+08

4507234.10E+08

5007734.00E+08

5508233.90E+08

6008733.80E+08

6509233.70E+08

7009733.60E+08

75010233.50E+08

80010733.40E+08

85011233.30E+08

90011733.20E+08

95012233.10E+08

100012733.00E+08

105013232.90E+08

110013732.80E+08

115014232.70E+08

120014732.60E+08

125015232.50E+08

130015732.40E+08

135016232.30E+08

137016432.26E+08

287031432.26E+08

Foglio1

analitical formula

extrapolated values

keep constant

temperature (K)

(J/kg K)


Foglio2

analitical formula

extrapolated values

keep constant

temperature (K)

(kg/m3)

density AISI 316 LN

Foglio3


literature

extrapolated values

temperature (K)

(J/m3)

entalpy (J/m3)

anlitical formula

extrapolated values

keep constant

temperature

(W/ m K)


analitical formula

extrapolated values

keep constant

temperature (K)

(m/m k)


Young mod (GPa)

temperature (K)

(GPa)

Young Modulus (Pa)

0.2921

0.2956845

0.299269

0.3028535

0.306438

0.3100225

0.313607

0.3171915

0.320776

0.3243605

0.327945

0.3315295

0.335114

0.3386985

0.342283

0.3458675

0.349452

0.3530365

0.356621

0.3602055

0.36379

0.3673745

0.370959

0.3745435

0.378128

0.3817125

0.385297

0.3888815

0.3903153

0.3903153

Poisson coeff.

temperature (K)

Poisson coeff.

shear modulus (GPa)

temperature (K)

(GPa)

shear modulus (G)

Yield strength (Pa)

temperature (K)

(Pa)

Yield strength (Pa)


temperature (K)

(Pa)


Grafico7

20037950000013134165000089106730000

19631845000012728060000089106730000

192257400000123219550000

188196350000119158500000

184135300000115097450000

180074250000111036400000

176013200000106975350000

171952150000102914300000

16789110000098853250000

16383005000094792200000

15976900000090731150000

15570795000089106730000

151646900000

147585850000

143524800000

139463750000

135402700000

131341650000

Young mod (GPa)

extrapolated values

keep constant

temperature (K)

(GPa)

Young Modulus (Pa)

Foglio1



20293464.73coeff_10.4337

50323476.57coeff_2-5.77E-04

100373494.23coeff_33.51E-07

150423509.53

200473522.74

250523534.12

300573543.92

350623552.42

400673559.87

450723566.54

500773572.69

550823578.59

600873584.49

650923590.67

700973597.38

7501023604.88

8001073613.45

8501123623.34

9001173634.82

9501223648.14

10001273663.58

10501323681.40

11001373701.85

11501423725.20

12001473751.72

12501523781.66

13001573815.30

13501623852.89

13701643869.09





202938031.47coeff_1-4.42E-04202938.03coeff_1-4.42E-04

503238018.26coeff_22.07E-081003738.00coeff_22.07E-08

1003737996.28coeff_3-5.80E-112004737.95coeff_3-5.80E-11

1504237974.323005737.91

2004737952.334006737.86

2505237930.275007737.82

3005737908.106008737.77

3506237885.777009737.72

4006737863.2480010737.67

4507237840.4690011737.62

5007737817.40100012737.56

5508237794.00110013737.50

6008737770.23120014737.44

6509237746.04130015737.37

7009737721.38

75010237696.22140016737.30

80010737670.51

85011237644.21

90011737617.27

95012237589.65

100012737561.31

105013237532.20

110013737502.28

115014237471.51

120014737439.84

125015237407.22

130015737373.62

135016237339.00

137016437324.85


180020737324.85

220024737324.85

260028737324.85

287031437324.85



0273456.288040.301.002E+09124564.902731.002E+09

20293464.738031.471.076E+0974011150.2133775.09210.09202931.076E+09

50323476.578018.261.189E+09113306177.9147894.414119.43503231.189E+09

100373494.237996.281.383E+09194334645.3172164.424269.971003731.383E+09

150423509.537974.321.584E+09200382966.2197258.525094.151504231.584E+09

200473522.747952.331.789E+09205507769.6223065.525806.922004731.789E+09

250523534.127930.271.999E+09209819689.8249486.926421.442505231.999E+09

300573543.927908.102.212E+09213428115.4276437.826950.873005732.212E+09

350623552.427885.772.429E+09216441220.2303846.127408.353506232.429E+09

400673559.877863.242.648E+09218965982.0331653.227807.044006732.648E+09

450723566.547840.462.869E+09221108190.3359813.328160.094507232.869E+09

500773572.697817.403.092E+09222972443.1388293.928480.665007733.092E+09

550823578.597794.003.316E+09224662131.3417075.828781.895508233.316E+09

600873584.497770.233.543E+09226279411.9446152.729076.936008733.543E+09

650923590.677746.043.771E+09227925170.5475531.729378.956509233.771E+09

700973597.387721.384.000E+09229698971.1505232.829701.107009734.000E+09

7501023604.887696.224.232E+09231698995.7535289.330056.5275010234.232E+09

8001073613.457670.514.466E+09234021971.3565747.730458.3780010734.466E+09

8501123623.347644.214.703E+09236763086.5596667.530919.8185011234.703E+09

9001173634.827617.274.943E+09240015895.8628121.531453.9890011734.943E+09

9501223648.147589.655.187E+09243872212.9660195.532074.0395012235.187E+09

10001273663.587561.315.435E+09248421992.7692988.632793.13100012735.435E+09

10501323681.407532.205.689E+09253753201.0726613.133624.42105013235.689E+09

11001373701.857502.285.949E+09259951674.0761194.134581.06110013735.949E+09

11501423725.207471.516.216E+09267100965.3796870.335676.20115014236.216E+09

12001473751.727439.846.491E+09275282182.0833793.336922.99120014736.491E+09

12501523781.667407.226.776E+09284573808.8872127.938334.58125015236.776E+09

13001573815.307373.627.071E+09295051521.7912052.039924.13130015737.071E+09

13501623852.897339.007.378E+09306787989.1953756.841704.80135016237.378E+09

13701643869.097324.857.504E+09126254146.1970976.717219.84137016437.504E+09

14001673869.097324.857.943E+09439490892.0literature1030976.760000140016737.943E+09

18002073869.097324.851.049E+102546389675.4180020731.049E+10

22002473869.097324.851.304E+102546389675.4220024731.304E+10

26002873869.097324.851.558E+102546389675.4260028731.558E+10

28703143869.097324.851.730E+101718813030.9287031431.730E+10


027313.29coeff_013.28571

2029313.63coeff_11.76E-02

5032314.15coeff_2-5.38E-06

10037314.99coeff_34.29E-09

15042315.81

20047316.62

25052317.41

30057318.19

35062318.96

40067319.72

45072320.49

50077321.26

55082322.03

60087322.81

65092323.61

70097324.42

750102325.24

800107326.09

850112326.96

900117327.86

950122328.80

1000127329.76

1050132330.77

1100137331.81

1150142332.90

1200147334.03

1250152335.22

1300157336.46

1350162337.75

1370164338.29

1800207338.29

2200247338.29

2600287338.29

2870314338.29




1003731.679E-05coeff_14.93E-09

2004731.724E-05coeff_2-1.66E-12

3005731.765E-05

4006731.802E-05

5007731.837E-05

6008731.868E-05

7009731.896E-05

80010731.920E-05

90011731.941E-05

100012731.959E-05

110013731.974E-05

120014731.985E-05

130015731.993E-05

137016431.996E-05


220024731.996E-05

260028731.996E-05

287031431.996E-05




503231.9632E+11coeff_1-8.12E+07

1003731.9226E+11

1504231.8820E+11

2004731.8414E+11

2505231.8007E+11

3005731.7601E+11

3506231.7195E+11

4006731.6789E+11

4507231.6383E+11

5007731.5977E+11

5508231.5571E+11

6008731.5165E+11

6509231.4759E+11

7009731.4352E+11

75010231.3946E+11

80010731.3540E+11

85011231.3134E+11

90011731.2728E+11

95012231.2322E+11

100012731.1916E+11

105013231.1510E+11

110013731.1104E+11

115014231.0698E+11

120014731.0291E+11

125015239.8853E+10

130015739.4792E+10

135016239.0731E+10

137016438.9107E+10

287031438.9107E+10

90011731.2728E+11

100012731.1916E+11




503230.29568coeff_17.17E-05

1003730.29927

1504230.30285

2004730.30644

2505230.31002

3005730.31361

3506230.31719

4006730.32078

4507230.32436

5007730.32795

5508230.33153

6008730.33511

6509230.33870

7009730.34228

75010230.34587

80010730.34945

85011230.35304

90011730.35662

95012230.36021

100012730.36379

105013230.36737

110013730.37096

115014230.37454

120014730.37813

125015230.38171

130015730.38530

135016230.38888

137016430.39032

287031430.39032

90011730.36

100012730.36




503237.5759E+10

1003737.3987E+10

1504237.2225E+10

2004737.0472E+10

2505236.8729E+10

3005736.6996E+10

3506236.5272E+10

4006736.3558E+10

4507236.1853E+10

5007736.0156E+10

5508235.8470E+10

6008735.6792E+10

6509235.5123E+10

7009735.3463E+10

75010235.1812E+10

80010735.0170E+10

85011234.8536E+10

90011734.6911E+10

95012234.5294E+10

100012734.3687E+10

105013234.2087E+10

110013734.0496E+10

115014233.8913E+10

120014733.7338E+10

125015233.5772E+10

130015733.4214E+10

135016233.2663E+10

137016433.2046E+10

287031433.2046E+10

90011734.6911E+10

100012734.3687E+10


OUTOKUMPU web site:

Rm

3203606205020C

211246520100C

167198460200C

145175440300C

135164400C

129158500C

melting points

1370C

1400 C


02733.47E+0802733.47250E+086.45000E+080.50

202933.20E+08202933.20000E+086.20000E+080.50

1003732.11E+081003732.11000E+085.20000E+080.50

1504231.89E+081504231.89000E+084.90000E+080.50

2004731.67E+082004731.67000E+084.60000E+080.50

2505231.56E+082505231.56000E+084.50000E+080.50

3005731.45E+083005731.45000E+084.40000E+080.50

3506231.40E+083506231.40000E+084.30000E+080.50

4006731.35E+084006731.35000E+084.20000E+080.50

4507231.32E+084507231.32000E+084.10000E+080.50

5007731.29E+085007731.29000E+084.00000E+080.50

5508231.26E+085508231.26000E+083.90000E+080.50

6008731.23E+086008731.23000E+083.80000E+080.50

6509231.20E+086509231.20000E+083.70000E+080.50

7009731.17E+087009731.17000E+083.60000E+080.50

75010231.14E+0875010231.14000E+083.50000E+080.50

80010731.11E+0880010731.11000E+083.40000E+080.50

85011231.08E+0885011231.08000E+083.30000E+080.50

90011731.05E+0890011731.05000E+083.20000E+080.50

95012231.02E+0895012231.02000E+083.10000E+080.50

100012739.90E+07100012739.90000E+073.00000E+080.50

105013239.60E+07105013239.60000E+072.90000E+080.50

110013739.30E+07110013739.30000E+072.80000E+080.50

115014239.00E+07115014239.00000E+072.70000E+080.50

120014738.70E+07120014738.70000E+072.60000E+080.50

125015238.40E+07125015238.40000E+072.50000E+080.50

130015738.10E+07130015738.10000E+072.40000E+080.50

135016237.80E+07135016237.80000E+072.30000E+080.50

137016437.68E+07137016437.68000E+072.26000E+080.50

287031437.68E+07287031437.68000E+072.26000E+080.50


02736.45E+08

202936.20E+08

1003735.20E+08

1504234.90E+08

2004734.60E+08

2505234.50E+08

3005734.40E+08

3506234.30E+08

4006734.20E+08

4507234.10E+08

5007734.00E+08

5508233.90E+08

6008733.80E+08

6509233.70E+08

7009733.60E+08

75010233.50E+08

80010733.40E+08

85011233.30E+08

90011733.20E+08

95012233.10E+08

100012733.00E+08

105013232.90E+08

110013732.80E+08

115014232.70E+08

120014732.60E+08

125015232.50E+08

130015732.40E+08

135016232.30E+08

137016432.26E+08

287031432.26E+08

Foglio1

analitical formula

extrapolated values

keep constant

temperature (K)

(J/kg K)


Foglio2

analitical formula

extrapolated values

keep constant

temperature (K)

(kg/m3)

density AISI 316 LN

Foglio3


literature

extrapolated values

temperature (K)

(J/m3)

entalpy (J/m3)

anlitical formula

extrapolated values

keep constant

temperature

(W/ m K)


analitical formula

extrapolated values

keep constant

temperature (K)

(m/m k)


Young mod (GPa)

extrapolated values

keep constant

temperature (K)

(GPa)

Young Modulus (Pa)

Poisson coeff.

temperature (K)

Poisson coeff.

shear modulus (GPa)

temperature (K)

(GPa)

shear modulus (G)

Yield strength (Pa)

temperature (K)

(Pa)

Yield strength (Pa)


temperature (K)

(Pa)


Grafico8

0.29210.3566210.3903153

0.29568450.36020550.3903153

0.2992690.36379

0.30285350.3673745

0.3064380.370959

0.31002250.3745435

0.3136070.378128

0.31719150.3817125

0.3207760.385297

0.32436050.3888815

0.3279450.3903153

0.3315295

0.335114

0.3386985

0.342283

0.3458675

0.349452

0.3530365

0.356621

analitical formula

extrapolated values

keep constant

temperature (K)

Poisson's coefficient

Foglio1



20293464.73coeff_10.4337

50323476.57coeff_2-5.77E-04

100373494.23coeff_33.51E-07

150423509.53

200473522.74

250523534.12

300573543.92

350623552.42

400673559.87

450723566.54

500773572.69

550823578.59

600873584.49

650923590.67

700973597.38

7501023604.88

8001073613.45

8501123623.34

9001173634.82

9501223648.14

10001273663.58

10501323681.40

11001373701.85

11501423725.20

12001473751.72

12501523781.66

13001573815.30

13501623852.89

13701643869.09





202938031.47coeff_1-4.42E-04202938.03coeff_1-4.42E-04

503238018.26coeff_22.07E-081003738.00coeff_22.07E-08

1003737996.28coeff_3-5.80E-112004737.95coeff_3-5.80E-11

1504237974.323005737.91

2004737952.334006737.86

2505237930.275007737.82

3005737908.106008737.77

3506237885.777009737.72

4006737863.2480010737.67

4507237840.4690011737.62

5007737817.40100012737.56

5508237794.00110013737.50

6008737770.23120014737.44

6509237746.04130015737.37

7009737721.38

75010237696.22140016737.30

80010737670.51

85011237644.21

90011737617.27

95012237589.65

100012737561.31

105013237532.20

110013737502.28

115014237471.51

120014737439.84

125015237407.22

130015737373.62

135016237339.00

137016437324.85


180020737324.85

220024737324.85

260028737324.85

287031437324.85



0273456.288040.301.002E+09124564.902731.002E+09

20293464.738031.471.076E+0974011150.2133775.09210.09202931.076E+09

50323476.578018.261.189E+09113306177.9147894.414119.43503231.189E+09

100373494.237996.281.383E+09194334645.3172164.424269.971003731.383E+09

150423509.537974.321.584E+09200382966.2197258.525094.151504231.584E+09

200473522.747952.331.789E+09205507769.6223065.525806.922004731.789E+09

250523534.127930.271.999E+09209819689.8249486.926421.442505231.999E+09

300573543.927908.102.212E+09213428115.4276437.826950.873005732.212E+09

350623552.427885.772.429E+09216441220.2303846.127408.353506232.429E+09

400673559.877863.242.648E+09218965982.0331653.227807.044006732.648E+09

450723566.547840.462.869E+09221108190.3359813.328160.094507232.869E+09

500773572.697817.403.092E+09222972443.1388293.928480.665007733.092E+09

550823578.597794.003.316E+09224662131.3417075.828781.895508233.316E+09

600873584.497770.233.543E+09226279411.9446152.729076.936008733.543E+09

650923590.677746.043.771E+09227925170.5475531.729378.956509233.7

Documents

Finite element numerical simulation of a TIG welding test