Finite element analysis has been widely applied in mechanical, civil, and biomedical designs. This new edition provides the readers with comprehensive views of various material models through practical examples, which will help them better understand various materials and build appropriate material models in finite element analysis. Material Modeling in Finite Element Analysis, Second Edition, consists of four main parts: (1) metals, (2) polymers, (3) soils, and (4) modern materials. Each part starts with the structure and function of different materials and then follows the corresponding material models and the temperature and time effects on the material models. The final part focuses on user subroutines such as UserMat and UserHyper. This book presents some specific problems including the metal-forming process, combustion room, Mullins effect of rubber tires, viscoelasticity of liver soft tissues, small punch test, tunnel excavation, slope stability, concrete slump test, orthodontic wire, and piezoelectric microaccelerometer. All modeling files are provided in the appendices of this book. This book would be helpful for graduate students and researchers in the mechanical, civil, and biomedical fields who conduct finite element analysis. This book provides all readers with a comprehensive understanding of modeling various materials.
Zhaochun Yang received his PhD in Mechanical Engineering from the University of Pittsburgh in 2004. Since 2005, he has worked for big companies and national labs such as Nation Energy Technology Laboratory. He has been in the field of finite element analysis for over 20 years and has gained much experience, especially in material modeling. Up to now, he has published 12 journal papers and 3 books.
Chapter 1 IntroductionPart 1 METALChapter 2 Structure and Material Properties of Metal2.1 Structure of Metal2.2 Elasticity and Plasticity of MetalChapter 3 Some Plastic Material Models of Metals 3.1 Introduction of Plasticity3.2 Nonlinear Kinematic HardeningChapter 4 Material Properties as Function of Time4.1 Introduction of Viscoplasticity4.2 Creep4.3 Discussion of Viscoplasticity and CreepChapter 5 Influence of Temperature on Material Properties5.1 Temperature Dependency of Material Properties5.2 Simulation of Combustion Chamber under Different TemperaturesChapter 6 Subroutine UserMat6.1 UserMat Development6.2 UserMat of Strain-Hardening ModelPart 2 POLYMERSChapter 7 Structure and Features of Polymer7.1 Structure of Polymer7.2 Features of PolymerChapter 8 Hyperelasticity8.1 Some Widely Used Hyperelastic Models8.2 Stability Discussion8.3 Curve-Fitting of Material Parameters from Experimental DataChapter 9 Viscoelasticity of Polymers9.1 Linear Viscoelastic Models9.2 Shift FunctionsChapter 10 Eight-Chain Based Viscoplasticity Models10.1 Bergstrom-Boyce Model10.2 Simulation of Small Punch TestChapter 11 Mullins Effect 11.1 Introduction of Mullins Effect11.2 Ogden-Roxburgh Mullins Effect Model11.3 Simulation of a Rubber Tire with the Mullins EffectChapter 12 UserHyper for Hyperelastic Materials12.1 Introduction of Subroutine UserHyper12.2 Simulation of Veronda-Westman ModelPart 3 SOILChapter 13 Soil Introduction13.1 Soil Structure13.2 Soil ParametersChapter 14 Cam Clay Model14.1 Introduction of Modified Cam Clay Model14.2 Modified Cam Clay in ANSYS14.3 Simulation of Soil Excavation14.4 Simulation of A Tower on the Ground by Modified Cam Clay ModelChapter 15 Drucker-Prager Model15.1 Introduction of Drucker-Prager Model15.2 Simulation of Concrete Slump Test15.3 Study of Soil-Arch InteractionChapter 16 Mohr-Coulomb Model 16.1 Introduction of Mohr-Coulomb Model16.2 Mohr-Coulomb Model in ANSYS16.3 Concrete Slump Test16.4 Study of Slope Stability Chapter 17 Jointed Rock Model17.1 Jointed Rock Model17.2 Definition of Jointed Rock Model in ANSYS17.3 Simulation of Tunnel ExcavationChapter 18 Consolidation of Soils18.1 Consolidation of Soils18.2 Modeling Porous Media in ANSYS18.3 Simulation of Terzaghi’s Problem18.4 Simulation of Consolidation of Three-Well ZonePart 4 MODERN MATERIALSChapter 19 Composite Materials19.1 Introduction of Composite Materials19.2 Modeling Composites in ANSYS19.3 Simulation of Composite Structure in Failure Test19.4 Simulation of Crack Growth in Single Leg Bending ProblemChapter 20 Functionally Graded Material20.1 Introduction of Functionally Graded Material20.2 Material Model of Functionally Graded Material20.3 Simulation of Spur Gear with Functionally Graded MaterialChapter 21 Shape Memory Alloys 21.1 Structures and Various Material Models 21.2 Simulation of Orthodontic Wire 21.3 Simulation of Vacuum Tight Shape Memory Flange Chapter 22 Simulation of Piezoelectricity22.1 Introduction of Piezoelectricity22.2 Structures and Mechanical Behaviors of Piezoelectric Materials22.3 Constitutive Equation of Piezoelectricity22.4 Simulation of Piezoelectric AccelerometerChapter 23 Nano Materials23.1 Introduction of Nano 23.2 Determination of Young’s Modulus of Fe ParticlesPart 5 RetrospectiveChapter 24 RetrospectiveAppendix 1 Input File of Curve-Fitting of the Chaboche Model in Section 3.2Appendix 2 Input File of the Ratchetting Model in Section 3.2Appendix 3 Input File of the Forming Process Model in Section 4.1Appendix 4 Input File of the Bolt Model under Pretension in Section 4.2Appendix 5 Input File of the Combustion Chamber Model in Section 5.2Appendix 6 UserMat of Strain-Hardening Model in Section 6.2Appendix 7 Input File of the Uniaxial Test with Strain-Hardening Model in Section 6.2Appendix 8 Input File of Curve-Fitting of the Ogden Model in Section 8.3Appendix 9 Input File of the Liver Soft Tissue Model in Section 9.1Appendix 10 Input File of the Stress Evolution of Glass Tube in Section 9.2Appendix 11 Input File of the Small Punch Test in Section 10.2Appendix 12 Input File of the Rubber Tire Damage Model in Section 11.3Appendix 13 Input File of the Breast Tumor Model in Section 12.2Appendix 14 Input File of the Soil Excavation in Section 14.3Appendix 15 Input File of the Tower Subsidence Model in Section 14.4Appendix 16 Input File of the Concrete Slump Test in Section 15.2Appendix 17 Input File of the Soil-Arch Interaction Model in Section 15.3Appendix 18 Input File of the Concrete Slump Test in Section 16.3Appendix 19 Input File of the Slope Stability Model in Section 16.4Appendix 20 Input File of the Tunnel Excavation Model in Section 17.3Appendix 21 Input File of One Dimensional Terzaghi’s Problem in Section 18.3Appendix 22 Input File of the Settlement Model in Section 18.4Appendix 23 Input File of the Composite Damage Model in Section 19.3Appendix 24 Input File of the SLB Model in Section 19.4Appendix 25 Input File of the Spur Gear Model with FGM in Section 20.3Appendix 26 Input File of the Orthodontic Wire Model in Section 21.2Appendix 27 Input File of the Vacuum Tight Shape Memory Flange Model in Section 21.3Appendix 28 Input File of the Piezoelectric Microaccelerometer Model in Section 22.4Appendix 29 Input File of the Contact Model in Section 23.2