Mechanical APDL Material Reference

220 Pages·2013·4.12 MB·English

ANSYS Mechanical APDL Material Reference
ANSYS, Inc. Release 15.0
Southpointe November 2013
275 Technology Drive
Canonsburg, PA 15317 ANSYS, Inc. is
[email protected] certified to ISO
9001:2008.
http://www.ansys.com
(T) 724-746-3304
(F) 724-514-9494
Copyright and Trademark Information
© 2013 SAS IP, Inc. All rights reserved. Unauthorized use, distribution or duplication is prohibited.
ANSYS, ANSYS Workbench, Ansoft, AUTODYN, EKM, Engineering Knowledge Manager, CFX, FLUENT, HFSS and any
and all ANSYS, Inc. brand, product, service and feature names, logos and slogans are registered trademarks or
trademarks of ANSYS, Inc. or its subsidiaries in the United States or other countries. ICEM CFD is a trademark used
by ANSYS, Inc. under license. CFX is a trademark of Sony Corporation in Japan. All other brand, product, service
and feature names or trademarks are the property of their respective owners.
Disclaimer Notice
THIS ANSYS SOFTWARE PRODUCT AND PROGRAM DOCUMENTATION INCLUDE TRADE SECRETS AND ARE CONFID-
ENTIAL AND PROPRIETARY PRODUCTS OF ANSYS, INC., ITS SUBSIDIARIES, OR LICENSORS.The software products
and documentation are furnished by ANSYS, Inc., its subsidiaries, or affiliates under a software license agreement
that contains provisions concerning non-disclosure, copying, length and nature of use, compliance with exporting
laws, warranties, disclaimers, limitations of liability, and remedies, and other provisions.The software products
and documentation may be used, disclosed, transferred, or copied only in accordance with the terms and conditions
of that software license agreement.
ANSYS, Inc. is certified to ISO 9001:2008.
U.S. Government Rights
For U.S. Government users, except as specifically granted by the ANSYS, Inc. software license agreement, the use,
duplication, or disclosure by the United States Government is subject to restrictions stated in the ANSYS, Inc.
software license agreement and FAR 12.212 (for non-DOD licenses).
Third-Party Software
See the legal information in the product help files for the complete Legal Notice for ANSYS proprietary software
and third-party software. If you are unable to access the Legal Notice, please contact ANSYS, Inc.
Published in the U.S.A.
Table of Contents
1. Introduction to Material Models............................................................................................................. 1
1.1. Material Models for Displacement Applications................................................................................. 1
1.2. Material Models for Temperature Applications................................................................................... 2
1.3. Material Models for Electromagnetic Applications............................................................................. 2
1.4. Material Models for Coupled Applications......................................................................................... 3
1.5. Material Parameters.......................................................................................................................... 3
2. Material Model Element Support........................................................................................................... 5
3. Material Models.................................................................................................................................... 13
3.1. Understanding Material Data Tables................................................................................................ 13
3.2. Experimental Data.......................................................................................................................... 14
3.3. Linear Material Properties............................................................................................................... 14
3.3.1. Defining Linear Material Properties......................................................................................... 15
3.3.2. Stress-Strain Relationships...................................................................................................... 17
3.3.3. Anisotropic Elasticity.............................................................................................................. 18
3.3.4. Damping ............................................................................................................................... 18
3.3.5.Thermal Expansion................................................................................................................. 19
3.3.6. Emissivity............................................................................................................................... 20
3.3.7. Specific Heat.......................................................................................................................... 20
3.3.8. Film Coefficients..................................................................................................................... 21
3.3.9.Temperature Dependency...................................................................................................... 21
3.3.10. How Material Properties Are Evaluated................................................................................. 21
3.4. Rate-Independent Plasticity............................................................................................................ 21
3.4.1. Understanding the Plasticity Models....................................................................................... 22
3.4.1.1. Nomenclature ............................................................................................................... 23
3.4.1.2. Strain Decomposition.................................................................................................... 24
3.4.1.3.Yield Criterion................................................................................................................ 24
3.4.1.4. Flow Rule...................................................................................................................... 25
3.4.1.5. Hardening..................................................................................................................... 26
3.4.1.6. Large Deformation........................................................................................................ 27
3.4.1.7. Output.......................................................................................................................... 27
3.4.1.8. Resources...................................................................................................................... 28
3.4.2. Isotropic Hardening ............................................................................................................... 30
3.4.2.1.Yield Criteria and Plastic Potentials................................................................................. 30
3.4.2.1.1.Von Mises Yield Criterion....................................................................................... 30
3.4.2.1.2. Hill Yield Criterion................................................................................................. 31
3.4.2.2. General Isotropic Hardening Classes.............................................................................. 33
3.4.2.2.1. Bilinear Isotropic Hardening.................................................................................. 33
3.4.2.2.1.1. Defining the Bilinear Isotropic Hardening Model........................................... 34
3.4.2.2.2. Multilinear Isotropic Hardening............................................................................. 34
3.4.2.2.2.1. Defining the Multilinear Isotropic Hardening Model...................................... 35
3.4.2.2.3. Nonlinear Isotropic Hardening.............................................................................. 36
3.4.2.2.3.1. Power Law Nonlinear Isotropic Hardening.................................................... 36
3.4.2.2.3.2.Voce Law Nonlinear Isotropic Hardening....................................................... 37
3.4.3. Kinematic Hardening ............................................................................................................. 38
3.4.3.1.Yield Criteria and Plastic Potentials................................................................................. 38
3.4.3.2. General Kinematic Hardening Classes............................................................................ 39
3.4.3.2.1. Bilinear Kinematic Hardening................................................................................ 39
3.4.3.2.1.1. Defining the Bilinear Kinematic Hardening Model......................................... 40
3.4.3.2.2. Multilinear Kinematic Hardening........................................................................... 40
3.4.3.2.2.1. Defining the Multilinear Kinematic Hardening Model.................................... 42
Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information
of ANSYS, Inc. and its subsidiaries and affiliates. iii
Material Reference
3.4.3.2.3. Nonlinear Kinematic Hardening............................................................................ 43
3.4.3.2.3.1. Defining the Nonlinear Kinematic Hardening Model..................................... 43
3.4.4. Generalized Hill...................................................................................................................... 44
3.4.4.1. Defining the Generalized Hill Model............................................................................... 46
3.4.5. Drucker-Prager....................................................................................................................... 47
3.4.5.1. Classic Drucker-Prager................................................................................................... 47
3.4.5.1.1. Defining the Classic Drucker-Prager Model............................................................ 47
3.4.5.2. Extended Drucker-Prager (EDP)...................................................................................... 48
3.4.5.2.1. EDP Yield Criteria Forms........................................................................................ 48
3.4.5.2.1.1. Linear Form.................................................................................................. 48
3.4.5.2.1.2. Power Law Form........................................................................................... 48
3.4.5.2.1.3. Hyperbolic Form .......................................................................................... 49
3.4.5.2.2. EDP Plastic Flow Potentials.................................................................................... 50
3.4.5.2.2.1. Linear Form.................................................................................................. 50
3.4.5.2.2.2. Power Law Form........................................................................................... 51
3.4.5.2.2.3. Hyperbolic Form .......................................................................................... 51
3.4.5.2.3. Plastic Strain Increments for Flow Potentials.......................................................... 52
3.4.5.2.4. Example EDP Material Model Definitions............................................................... 52
3.4.5.3. Extended Drucker-Prager Cap........................................................................................ 53
3.4.5.3.1. Defining the EDP Cap Yield Criterion and Hardening.............................................. 55
3.4.5.3.2. Defining the EDP Cap Plastic Potential................................................................... 56
3.4.5.3.3. Example EDP Cap Material Model Definition.......................................................... 56
3.4.6. Gurson................................................................................................................................... 57
3.4.6.1.Void Volume Fraction..................................................................................................... 57
3.4.6.2. Hardening..................................................................................................................... 59
3.4.6.3. Defining the Gurson Material Model.............................................................................. 60
3.4.6.3.1. Defining the Gurson Base Model........................................................................... 60
3.4.6.3.2. Defining Stress- or Strain-Controlled Nucleation.................................................... 60
3.4.6.3.3. Defining the Void Coalescence Behavior ............................................................... 61
3.4.6.3.4. Example Gurson Model Definition......................................................................... 61
3.4.7. Cast Iron................................................................................................................................ 62
3.4.7.1. Defining the Cast Iron Material Model............................................................................ 64
3.5. Rate-Dependent Plasticity (Viscoplasticity)...................................................................................... 64
3.5.1. Perzyna and Peirce Options.................................................................................................... 65
3.5.2. Exponential Visco-Hardening (EVH) Option............................................................................. 65
3.5.3. Anand Option........................................................................................................................ 66
3.5.4. Defining Rate-Dependent Plasticity (Viscoplasticity)............................................................... 67
3.5.5. Creep..................................................................................................................................... 67
3.5.5.1. Implicit Creep Equations................................................................................................ 68
3.5.5.2. Explicit Creep Equations................................................................................................ 70
3.5.5.2.1. Primary Explicit Creep Equation for C6 = 0............................................................. 71
3.5.5.2.2. Primary Explicit Creep Equation for C6 = 1............................................................. 71
3.5.5.2.3. Primary Explicit Creep Equation for C6 = 2............................................................. 71
3.5.5.2.4. Primary Explicit Creep Equation for C6 = 9............................................................. 71
3.5.5.2.4.1. Double Exponential Creep Equation (C4 = 0)................................................. 71
3.5.5.2.4.2. Rational Polynomial Creep Equation with Metric Units (C4 = 1)...................... 72
3.5.5.2.4.3. Rational Polynomial Creep Equation with English Units (C4 = 2).................... 72
3.5.5.2.5. Primary Explicit Creep Equation for C6 = 10........................................................... 73
3.5.5.2.5.1. Double Exponential Creep Equation (C4 = 0)................................................. 73
3.5.5.2.5.2. Rational Polynomial Creep Equation with Metric Units (C4 = 1)...................... 73
3.5.5.2.5.3. Rational Polynomial Creep Equation with English Units (C4 = 2).................... 73
3.5.5.2.6. Primary Explicit Creep Equation for C6 = 11........................................................... 73
Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information
iv of ANSYS, Inc. and its subsidiaries and affiliates.
Material Reference
3.5.5.2.6.1. Modified Rational Polynomial Creep Equation (C4 = 0).................................. 73
3.5.5.2.6.2. Rational Polynomial Creep Equation with Metric Units (C4 = 1)...................... 74
3.5.5.2.6.3. Rational Polynomial Creep Equation with English Units (C4 = 2).................... 74
3.5.5.2.7. Primary Explicit Creep Equation for C6 = 12........................................................... 74
3.5.5.2.8. Primary Explicit Creep Equation for C6 Equals 13................................................... 75
3.5.5.2.9. Primary Explicit Creep Equation for C6 = 14........................................................... 76
3.5.5.2.10. Primary Explicit Creep Equation for C6 = 15......................................................... 76
3.5.5.2.11. Primary Explicit Creep Equation for C6 = 100....................................................... 77
3.5.5.2.12. Secondary Explicit Creep Equation for C12 = 0..................................................... 77
3.5.5.2.13. Secondary Explicit Creep Equation for C12 = 1..................................................... 77
3.5.5.2.14. Irradiation Induced Explicit Creep Equation for C66 = 5........................................ 77
3.6. Hyperelasticity................................................................................................................................ 77
3.6.1. Arruda-Boyce Hyperelasticity.................................................................................................. 78
3.6.2. Blatz-Ko Foam Hyperelasticity................................................................................................. 79
3.6.3. Extended Tube Hyperelasticity............................................................................................... 79
3.6.4. Gent Hyperelasticity............................................................................................................... 80
3.6.5. Mooney-Rivlin Hyperelasticity................................................................................................ 80
3.6.6. Neo-Hookean Hyperelasticity................................................................................................. 82
3.6.7. Ogden Hyperelasticity............................................................................................................ 82
3.6.8. Ogden Compressible Foam Hyperelasticity............................................................................. 83
3.6.9. Polynomial Form Hyperelasticity............................................................................................. 84
3.6.10. Response Function Hyperelasticity....................................................................................... 85
3.6.11.Yeoh Hyperelasticity............................................................................................................. 86
3.6.12. Special Hyperelasticity.......................................................................................................... 87
3.6.12.1. Anisotropic Hyperelasticity.......................................................................................... 87
3.6.12.2. Bergstrom-Boyce Material............................................................................................ 88
3.6.12.3. Mullins Effect............................................................................................................... 89
3.6.12.4. User-Defined Hyperelastic Material.............................................................................. 90
3.7.Viscoelasticity................................................................................................................................. 90
3.7.1.Viscoelastic Formulation......................................................................................................... 91
3.7.1.1. Small Deformation......................................................................................................... 91
3.7.1.2. Small Strain with Large Deformation.............................................................................. 93
3.7.1.3. Large Deformation........................................................................................................ 93
3.7.2.Time-Temperature Superposition........................................................................................... 94
3.7.2.1.Williams-Landel-Ferry Shift Function.............................................................................. 95
3.7.2.2.Tool-Narayanaswamy Shift Function............................................................................... 95
3.7.2.3. User-Defined Shift Function........................................................................................... 97
3.7.3. Harmonic Viscoelasticity......................................................................................................... 97
3.7.3.1. Prony Series Complex Modulus...................................................................................... 98
3.7.3.2. Experimental Data Complex Modulus............................................................................ 98
3.7.3.3. Frequency-Temperature Superposition.......................................................................... 99
3.7.3.4. Stress .......................................................................................................................... 100
3.8. Microplane ................................................................................................................................... 100
3.8.1. Microplane Modeling........................................................................................................... 100
3.8.1.1. Discretization .............................................................................................................. 102
3.8.2. Material Models with Degradation and Damage.................................................................... 102
3.8.3. Material Parameters Definition and Example Input................................................................ 104
3.8.4. Learning More About Microplane Material Modeling............................................................. 105
3.9. Porous Media................................................................................................................................ 105
3.9.1. Coupled Pore-Fluid Diffusion and Structural Model of Porous Media...................................... 105
3.10. Electricity and Magnetism........................................................................................................... 106
3.10.1. Piezoelectricity................................................................................................................... 106
Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information
of ANSYS, Inc. and its subsidiaries and affiliates. v
Material Reference
3.10.2. Piezoresistivity ................................................................................................................... 107
3.10.3. Magnetism......................................................................................................................... 108
3.10.4. Anisotropic Electric Permittivity.......................................................................................... 109
3.11. Gasket ........................................................................................................................................ 109
3.12. Swelling...................................................................................................................................... 111
3.13. Shape Memory Alloy (SMA)......................................................................................................... 112
3.13.1. SMA Model for Superelasticity............................................................................................ 113
3.13.1.1. Constitutive Model for Superelasticity........................................................................ 114
3.13.1.2. Material Parameters for the Superelastic SMA Material Model..................................... 116
3.13.2. SMA Material Model with Shape Memory Effect.................................................................. 117
3.13.2.1.The Constitutive Model for Shape Memory Effect........................................................ 117
3.13.2.2. Material Parameters for the Shape Memory Effect Option........................................... 120
3.13.3. Result Output of Solution Variables..................................................................................... 121
3.13.4. Element Support for SMA................................................................................................... 121
3.13.5. Learning More About Shape Memory Alloy......................................................................... 121
3.14. MPC184 Joint.............................................................................................................................. 122
3.14.1. Linear Elastic Stiffness and Damping Behavior..................................................................... 122
3.14.2. Nonlinear Elastic Stiffness and Damping Behavior............................................................... 123
3.14.2.1. Specifying a Function Describing Nonlinear Stiffness Behavior.................................... 124
3.14.3. Frictional Behavior.............................................................................................................. 125
3.15. Contact Friction.......................................................................................................................... 127
3.15.1. Isotropic Friction................................................................................................................ 127
3.15.2. Orthotropic Friction............................................................................................................ 128
3.15.3. Redefining Friction Between Load Steps............................................................................. 128
3.15.4. User-Defined Friction.......................................................................................................... 129
3.16. Cohesive Material Law................................................................................................................. 129
3.16.1. Exponential Cohesive Zone Material for Interface Elements................................................. 130
3.16.2. Bilinear Cohesive Zone Material for Interface Elements........................................................ 130
3.16.3.Viscous Regularization for Cohesive Zone Material.............................................................. 131
3.16.4. Cohesive Zone Material for Contact Elements...................................................................... 131
3.16.5. User-Defined Cohesive Material Law................................................................................... 133
3.17. Contact Surface Wear.................................................................................................................. 133
3.17.1. Archard Wear Model........................................................................................................... 133
3.17.2. User-Defined Wear Model................................................................................................... 134
3.18. Acoustics.................................................................................................................................... 134
3.18.1. Equivalent Fluid Model of Perforated Media........................................................................ 134
3.18.1.1. Johnson-Champoux-Allard Equivalent Fluid Model of Perforated Media...................... 135
3.18.1.2. Delany-Bazley Equivalent Fluid Model of Perforated Media......................................... 136
3.18.1.3. Miki Equivalent Fluid Model of Perforated Media........................................................ 136
3.18.1.4. Complex Impedance and Propagating-Constant Equivalent Fluid Model of Perforated
Media..................................................................................................................................... 137
3.18.1.5. Complex Density and Velocity Equivalent Fluid Model of Perforated Media................. 138
3.18.1.6.Transfer Admittance Matrix Model of Perforated Media............................................... 138
3.18.1.7.Transfer Admittance Matrix Model of a Square or Hexagonal Grid Structure................ 139
3.18.2. Acoustic Frequency-Dependent Materials........................................................................... 140
3.18.3. Low Reduced Frequency (LRF) Model of Acoustic Viscous-Thermal Media............................ 140
3.18.3.1.Thin Layer.................................................................................................................. 141
3.18.3.2.Tube with Rectangular Cross-Section.......................................................................... 141
3.18.3.3.Tube with Circular Cross-Section................................................................................ 141
3.19. Fluids.......................................................................................................................................... 141
3.20. User-Defined Material Model....................................................................................................... 143
3.20.1. Using State Variables with UserMat .................................................................................... 143
Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information
vi of ANSYS, Inc. and its subsidiaries and affiliates.
Material Reference
3.20.2. Using State Variables with User-Defined Cohesive Zone Material (CZM)............................... 144
3.21. Material Strength Limits.............................................................................................................. 144
3.22. Material Damage ........................................................................................................................ 146
3.22.1. Damage Initiation Criteria................................................................................................... 146
3.22.2. Damage Evolution Law....................................................................................................... 147
3.22.2.1. Predicting Post-Damage Degradation of Brittle Anisotropic Materials......................... 149
3.22.2.1.1. Damage Modes................................................................................................. 152
4. Explicit Dynamics Materials................................................................................................................ 155
5. Material Curve Fitting......................................................................................................................... 157
5.1. Hyperelastic Material Curve Fitting................................................................................................ 157
5.1.1. Understanding the Hyperelastic Material Curve-Fitting Process............................................. 157
5.1.2. Step 1. Prepare Experimental Data........................................................................................ 158
5.1.3. Step 2. Input the Experimental Data...................................................................................... 159
5.1.3.1. Batch........................................................................................................................... 159
5.1.3.2. GUI.............................................................................................................................. 160
5.1.4. Step 3. Select a Material Model Option.................................................................................. 160
5.1.4.1. Batch Method.............................................................................................................. 161
5.1.4.2. GUI Method................................................................................................................. 161
5.1.5. Step 4. Initialize the Coefficients............................................................................................ 161
5.1.5.1. Batch........................................................................................................................... 162
5.1.5.2. GUI.............................................................................................................................. 162
5.1.6. Step 5. Specify Control Parameters and Solve........................................................................ 162
5.1.6.1. Batch........................................................................................................................... 163
5.1.6.2. GUI.............................................................................................................................. 163
5.1.7. Step 6. Plot Your Experimental Data and Analyze................................................................... 163
5.1.7.1. GUI.............................................................................................................................. 163
5.1.7.2. Review/Verify .............................................................................................................. 164
5.1.8. Step 7.Write Data to the TB Command.................................................................................. 164
5.1.8.1. Batch........................................................................................................................... 164
5.1.8.2. GUI.............................................................................................................................. 164
5.2.Viscoelastic Material Curve Fitting................................................................................................. 164
5.2.1. Understanding the Viscoelastic Material Curve-Fitting Process.............................................. 165
5.2.2. Step 1. Prepare Experimental Data........................................................................................ 165
5.2.3. Step 2. Input the Data........................................................................................................... 166
5.2.3.1. Batch........................................................................................................................... 167
5.2.3.2. GUI.............................................................................................................................. 167
5.2.4. Step 3. Select a Material Model Option.................................................................................. 167
5.2.4.1. Batch Method.............................................................................................................. 167
5.2.4.2. GUI Method................................................................................................................. 168
5.2.5. Step 4. Initialize the Coefficients............................................................................................ 168
5.2.5.1. Batch Method ............................................................................................................. 169
5.2.5.2. GUI Method................................................................................................................. 170
5.2.6. Step 5. Specify Control Parameters and Solve........................................................................ 170
5.2.6.1.Temperature-Dependent Solutions Using the Shift Function......................................... 171
5.2.6.2.Temperature-Dependent Solutions Without the Shift Function..................................... 171
5.2.6.3. Batch Method.............................................................................................................. 172
5.2.6.4. GUI Method................................................................................................................. 173
5.2.7. Step 6. Plot the Experimental Data and Analyze..................................................................... 173
5.2.7.1. Analyze Your Curves for Proper Fit................................................................................ 173
5.2.8. Step 7.Write Data to the TB Command.................................................................................. 173
5.2.8.1. Batch Method.............................................................................................................. 174
5.2.8.2. GUI Method................................................................................................................. 175
Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information
of ANSYS, Inc. and its subsidiaries and affiliates. vii
Material Reference
5.3. Creep Material Curve Fitting.......................................................................................................... 175
5.3.1. Understanding the Creep Material Curve-Fitting Process....................................................... 175
5.3.2. Step 1. Prepare Experimental Data........................................................................................ 176
5.3.3. Step 2. Input the Experimental Data...................................................................................... 177
5.3.3.1. Batch Method.............................................................................................................. 177
5.3.3.2. GUI Method................................................................................................................. 178
5.3.4. Step 3. Select a Material Model Option.................................................................................. 178
5.3.4.1. Batch Method.............................................................................................................. 178
5.3.4.2. GUI Method................................................................................................................. 179
5.3.5. Step 4. Initialize the Coefficients............................................................................................ 179
5.3.5.1. Batch Method.............................................................................................................. 180
5.3.5.2. GUI Method................................................................................................................. 180
5.3.6. Step 5. Specify Control Parameters and Solve........................................................................ 180
5.3.6.1. Batch Method.............................................................................................................. 181
5.3.6.2. GUI Method................................................................................................................. 181
5.3.7. Step 6. Plot the Experimental Data and Analyze..................................................................... 181
5.3.7.1. GUI Method................................................................................................................. 181
5.3.7.2. Analyze Your Curves for Proper Fit................................................................................ 182
5.3.8. Step 7.Write Data to the TB Command.................................................................................. 182
5.3.8.1. Batch Method.............................................................................................................. 182
5.3.8.2. GUI Method................................................................................................................. 182
5.3.9.Tips For Curve Fitting Creep Models...................................................................................... 182
5.4. Chaboche Material Curve Fitting................................................................................................... 184
5.4.1. Understanding the Chaboche Material Curve-Fitting Process................................................ 184
5.4.2. Step 1. Prepare Experimental Data........................................................................................ 185
5.4.3. Step 2. Input the Experimental Data...................................................................................... 186
5.4.3.1. Batch Method.............................................................................................................. 186
5.4.3.2. GUI Method................................................................................................................. 186
5.4.4. Step 3. Select a Material Model Option.................................................................................. 186
5.4.4.1. Batch Method.............................................................................................................. 187
5.4.4.2. GUI Method................................................................................................................. 187
5.4.5. Step 4. Initialize the Coefficients............................................................................................ 187
5.4.5.1. Including Isotropic Hardening Models with Chaboche Kinematic Hardening................. 187
5.4.5.2. General Process for Initializing MISO Option Coefficients .............................................. 188
5.4.5.2.1. Batch Method..................................................................................................... 189
5.4.5.2.2. GUI Method........................................................................................................ 189
5.4.6. Step 5. Specify Control Parameters and Solve........................................................................ 190
5.4.6.1.Temperature-Dependent Solutions.............................................................................. 190
5.4.6.2. Batch Method.............................................................................................................. 190
5.4.6.3. GUI Method................................................................................................................. 191
5.4.7. Step 6. Plot the Experimental Data and Analyze..................................................................... 191
5.4.7.1. Analyzing Your Curves for Proper Fit............................................................................. 191
5.4.8. Step 7.Write Data to the TB Command.................................................................................. 191
6. Material Model Combinations............................................................................................................ 193
7. Understanding Field Variables............................................................................................................ 197
7.1. User-Defined Field Variables.......................................................................................................... 197
7.1.1. Subroutine for Editing Field Variables.................................................................................... 198
7.2. Data Processing............................................................................................................................ 198
7.3. Logarithmic Interpolation and Scaling........................................................................................... 200
7.4. Example: One-Dimensional Interpolation....................................................................................... 200
7.5. Example:Two-Dimensional Interpolation....................................................................................... 201
7.6. Example: Multi-Dimensional Interpolation..................................................................................... 202
Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information
viii of ANSYS, Inc. and its subsidiaries and affiliates.
Material Reference
8. GUI-Inaccessible Material Properties.................................................................................................. 205
Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information
of ANSYS, Inc. and its subsidiaries and affiliates. ix
Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information
x of ANSYS, Inc. and its subsidiaries and affiliates.