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Nonlinear Adaptivity Analysis Guide
Release 2022 R1ANSYS, Inc.
January 2022Southpointe
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Table of Contents
1. Introduction to Nonlinear Adaptivity ..................................................................................................... 1
2. Nonlinear Mesh Adaptivity ..................................................................................................................... 3
2.1. Nonlinear Mesh Adaptivity Benefits ................................................................................................... 4
2.1.1. Example: Rubber Seal Simulation .............................................................................................. 4
2.1.2. Example: Crack Simulation ........................................................................................................ 8
2.1.3. Example: 3-D Metal Forging Simulation ................................................................................... 11
2.1.4. Example: 2-D Metal Extrusion Simulation ................................................................................ 14
2.1.5. Compression of 2-D Thermo-hyperelastic U-Shape Simulation ................................................ 16
2.2. Nonlinear Mesh Adaptivity Usage Considerations ............................................................................ 19
2.3. Nonlinear Mesh Adaptivity Requirements and Limitations ............................................................... 19
2.3.1. Other Requirements and Limitations ...................................................................................... 22
2.4. Understanding the Nonlinear Mesh Adaptivity Process .................................................................... 24
2.4.1. Checking Nonlinear Adaptivity Criteria ................................................................................... 24
2.4.1.1. Defining Element Components ...................................................................................... 25
2.4.1.2. Defining Nonlinear Adaptivity Criteria ............................................................................ 25
2.4.1.3. Defining Criteria-Checking Frequency ............................................................................ 25
2.5. Nonlinear Mesh Adaptivity Criteria .................................................................................................. 25
2.5.1. Energy-Based Criterion ........................................................................................................... 26
2.5.2. Position-Based Criterion ......................................................................................................... 26
2.5.3. Contact-Based Criterion ......................................................................................................... 26
2.5.3.1. Number of Contacting Elements .................................................................................... 26
2.5.3.2. Contact Surface Wear .................................................................................................... 27
2.5.4. Mesh-Quality-Based Criterion ................................................................................................. 27
2.5.4.1. SHAPE Option ............................................................................................................... 28
2.5.4.2. SKEWNESS Option with Jacobian Ratio ........................................................................... 28
2.5.4.2.1. Skewness .............................................................................................................. 28
2.5.4.2.2. Jacobian Ratio ...................................................................................................... 29
2.6. Specifying Criteria-Checking Frequency .......................................................................................... 29
2.7. Generating the New Mesh ............................................................................................................... 30
2.7.1. Generating a New Mesh via Splitting and Morphing ................................................................ 30
2.7.2. Generating a New Mesh via General Remeshing ..................................................................... 34
2.7.2.1. Understanding Remeshing Regions and Domains .......................................................... 35
2.7.2.2. Optional Remeshing Controls ........................................................................................ 38
2.7.2.2.1. Boundary-Angle and Edge-Angle Control .............................................................. 38
2.7.2.2.2. Sculpting Layers Control ....................................................................................... 39
2.7.2.2.3. Global Sizing Control ............................................................................................ 41
2.7.2.2.4. Gradient Control ................................................................................................... 42
2.7.2.2.5. Understanding the Remesh Log ........................................................................... 45
2.7.2.2.6. Known Remeshing Limitations .............................................................................. 48
2.7.2.2.6.1. Non-manifold Mesh Geometry ..................................................................... 48
2.7.2.2.6.2. Region Self-Contact Penetration .................................................................. 50
2.7.2.2.7. Dealing with Remeshing Failure ............................................................................ 51
2.7.2.2.7.1. Direct Remeshing Failure .............................................................................. 52
2.7.2.2.7.2.Your Expectation of Target Mesh Quality Is Not Met ....................................... 52
2.7.2.3. Simultaneous Quality- and Refinement-Based Remeshing .............................................. 53
2.8. Convergence at Substeps with the New Mesh .................................................................................. 54
2.9. Controlling Nonlinear Mesh Adaptivity ............................................................................................ 54
2.10. Multiple Remeshings with Nonlinear Mesh Adaptivity ................................................................... 55
2.11. Restarting from a Nonlinear Mesh Adaptivity Analysis ................................................................... 56
iii
Release 2022 R1 - © ANSYS, Inc. All rights reserved. - Contains proprietary and confidential information
of ANSYS, Inc. and its subsidiaries and affiliates.
2.12. Stabilization in a Nonlinear Mesh Adaptivity Analysis ..................................................................... 57
2.13. Nonlinear Mesh Adaptivity Hints and Recommendations ............................................................... 57
2.14. Postprocessing Nonlinear Mesh Adaptivity Results ........................................................................ 59
2.14.1. Using the Database Postprocessor (POST1) ........................................................................... 60
2.14.1.1. Listing the Nonlinear Mesh Adaptivity Results File Summary ......................................... 60
2.14.1.2. Animating the Nonlinear Mesh Adaptivity Results ........................................................ 60
2.14.2. Using the Time-History Postprocessor (POST26) .................................................................... 61
2.15. Nonlinear Mesh Adaptivity Examples ............................................................................................. 61
2.15.1. Example Input: Rubber Seal Simulation ................................................................................. 61
2.15.2. Example Input: Crack Simulation ........................................................................................... 63
2.15.3. Example Input: 3-D Metal Forging Simulation ........................................................................ 65
2.15.4. Example Input: 2-D Metal Extrusion Simulation ..................................................................... 66
2.15.5. Example Input: Compression of 2-D Thermo-hyperelastic U-Shape Simulation ....................... 68
3. Nonlinear Mesh Adaptivity for Linear Analysis .................................................................................... 73
3.1. Benefits of Using Nonlinear Mesh Adaptivity for Linear Analysis ....................................................... 73
3.2. Usage Information .......................................................................................................................... 76
4. Nonlinear Mesh Adaptivity for Element-Type Change (NLAD-ETCHG) ................................................ 77
4.1. Introduction to NLAD-ETCHG .......................................................................................................... 77
4.2. NLAD-ETCHG Usage Considerations ................................................................................................ 78
4.2.1. NLAD-ETCHG Requirements and Limitations ........................................................................... 79
4.2.1.1. Other NLAD-ETCHG Requirements and Limitations ........................................................ 82
4.2.2. Understanding the NLAD-ETCHG Process ................................................................................ 84
4.2.2.1. Specify the Replacement (SOLID187) Element Type ....................................................... 84
4.2.2.2. Add the Replacement Element Type via a New Command Argument .............................. 85
4.2.2.2.1. Checking NLAD-ETCHG Criteria ............................................................................. 86
4.2.2.2.1.1. Defining Element Components ..................................................................... 86
4.2.2.2.1.2. Defining NLAD-ETCHG Criteria ...................................................................... 87
4.2.2.2.1.3. Defining Criteria-Checking Frequency .......................................................... 87
4.3. NLAD-ETCHG Criteria ...................................................................................................................... 87
4.3.1. Energy-Based Criterion in NLAD-ETCHG .................................................................................. 88
4.3.2. Position-Based Criterion in NLAD-ETCHG ................................................................................ 88
4.3.3. Mesh-Quality-Based Criterion in NLAD-ETCHG ........................................................................ 90
4.3.3.1. SHAPE Option ............................................................................................................... 90
4.3.3.2. SKEWNESS Option with Jacobian Ratio ........................................................................... 90
4.3.3.2.1. Using Hex-Dom Meshes From Ansys Mechanical ................................................... 92
4.4. Specifying Criteria-Checking Frequency .......................................................................................... 92
4.5. Generating the New Mesh ............................................................................................................... 93
4.6. Controlling NLAD-ETCHG ................................................................................................................ 95
4.7. Multiple Remeshings with NLAD-ETCHG .......................................................................................... 96
4.8. NLAD-ETCHG Hints and Recommendations ..................................................................................... 96
4.9. NLAD-ETCHG Examples ................................................................................................................... 99
4.9.1. Plate with Notches Undergoing Small Deformation ................................................................. 99
4.9.2. Offset Punch of a Block Undergoing Large Deformation ........................................................ 101
5. Initial-Mesh Loading and Constraint .................................................................................................. 105
6. Rezoning ............................................................................................................................................. 107
6.1. Benefits and Limitations of Rezoning ............................................................................................. 107
6.1.1. Rezoning Limitations ............................................................................................................ 109
6.2. Rezoning Requirements and Limitations ........................................................................................ 110
6.3. Understanding the Rezoning Process ............................................................................................ 113
6.3.1. Overview of the Rezoning Process Flow ................................................................................ 114
6.3.2. Key Commands Used in Rezoning ........................................................................................ 117
Release 2022 R1 - © ANSYS, Inc. All rights reserved. - Contains proprietary and confidential information
of ANSYS, Inc. and its subsidiaries and affiliates.iv
Nonlinear Adaptivity Analysis Guide
6.4. Step 1: Determine the Substep to Initiate Rezoning ........................................................................ 118
6.5. Step 2. Initiate Rezoning ................................................................................................................ 119
6.6. Step 3: Select a Region to Remesh ................................................................................................. 119
6.7. Step 4: Perform the Remeshing Operation ..................................................................................... 120
6.7.1. Choosing a Remeshing Method ............................................................................................ 121
6.7.1.1. Remeshing Using a Program-Generated New Mesh (2-D) .............................................. 121
6.7.1.1.1. Creating an Area to Remesh ................................................................................ 121
6.7.1.1.2. Using Nodes From the Old Mesh ......................................................................... 122
6.7.1.1.3. Hints for Remeshing Multiple Regions ................................................................ 122
6.7.1.1.4. Generating a New Mesh ..................................................................................... 122
6.7.1.2. Remeshing Using a Generic New Mesh (2-D and 3-D) ................................................... 123
6.7.1.2.1. Using the REMESH Command with a Generic New Mesh ...................................... 123
6.7.1.2.2. Requirements for the Generic New Mesh ............................................................. 123
6.7.1.2.3. Using the REGE and KEEP Remeshing Options ..................................................... 125
6.7.1.3. Remeshing Using Manual Mesh Splitting (2-D and 3-D) ................................................ 126
6.7.1.3.1. Understanding Mesh Splitting ............................................................................. 127
6.7.1.3.2. Geometry Details for Mesh Splitting ................................................................... 127
6.7.1.3.3. Using the REMESH Command for Mesh Splitting .................................................. 130
6.7.1.3.4. Mesh-Transition Options for 2-D Mesh Splitting ................................................... 130
6.7.1.3.5. Mesh-Transition Options for 3-D Mesh Splitting ................................................... 132
6.7.1.3.6. Improving the Local Topology of Tetrahedral Meshes via Edge and Face Swap-
ping ................................................................................................................................. 134
6.7.1.3.7. Improving Tetrahedral Element Quality via Mesh Morphing ................................. 135
6.7.2. Mesh Control ....................................................................................................................... 136
6.7.3. Remeshing Multiple Regions at the Same Substep ................................................................ 137
6.8. Step 5:Verify Applied Contact Boundaries, Surface-Effect Elements, Loads, and Boundary Condi-
tions ................................................................................................................................................... 138
6.8.1. Contact Boundaries .............................................................................................................. 138
6.8.2. Surface-Effect Elements ....................................................................................................... 138
6.8.3. Pressure and Contiguous Displacements ............................................................................... 139
6.8.4. Forces and Isolated Applied Displacements ........................................................................... 139
6.8.5. Nodal Temperatures ............................................................................................................. 139
6.8.6. Other Boundary Conditions and Loads ................................................................................. 140
6.9. Step 6: Map Variables and Balance Residuals .................................................................................. 140
6.9.1. Mapping Solution Variables .................................................................................................. 140
6.9.2. Balancing Residual Forces ..................................................................................................... 140
6.9.3. Interpreting Mapped Results ................................................................................................ 142
6.9.4. Handling Convergence Difficulties ........................................................................................ 142
6.10. Step 7: Perform a Multiframe Restart ............................................................................................ 142
6.11. Repeating the Rezoning Process if Necessary ............................................................................... 143
6.11.1. File Structures for Repeated Rezonings ............................................................................... 143
6.12. Postprocessing Rezoning Results ................................................................................................. 144
6.12.1. Using the Database Postprocessor (POST1) ......................................................................... 144
6.12.1.1. Listing the Rezoning Results File Summary ................................................................. 144
6.12.1.2. Animating the Rezoning Results ................................................................................. 145
6.12.2. Using the Time-History Postprocessor (POST26) .................................................................. 145
6.13. Rezoning Restrictions .................................................................................................................. 145
6.14. Stabilization in a Rezoning Analysis ............................................................................................. 146
6.15. Rezoning Examples ..................................................................................................................... 146
6.15.1. Example: Rezoning Using a Program-Generated New Mesh ................................................. 147
6.15.1.1. Initial Input for the Analysis ........................................................................................ 147
v
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of ANSYS, Inc. and its subsidiaries and affiliates.
Nonlinear Adaptivity Analysis Guide
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