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.

Table of Contents:
Chapter 1 Introduction Part 1 METAL Chapter 2 Structure and Material Properties of Metal 2.1 Structure of Metal 2.2 Elasticity and Plasticity of Metal Chapter 3 Some Plastic Material Models of Metals 3.1 Introduction of Plasticity 3.2 Nonlinear Kinematic Hardening Chapter 4 Material Properties as Function of Time 4.1 Introduction of Viscoplasticity 4.2 Creep 4.3 Discussion of Viscoplasticity and Creep Chapter 5 Influence of Temperature on Material Properties 5.1 Temperature Dependency of Material Properties 5.2 Simulation of Combustion Chamber under Different Temperatures Chapter 6 Subroutine UserMat 6.1 UserMat Development 6.2 UserMat of Strain-Hardening Model Part 2 POLYMERS Chapter 7 Structure and Features of Polymer 7.1 Structure of Polymer 7.2 Features of Polymer Chapter 8 Hyperelasticity 8.1 Some Widely Used Hyperelastic Models 8.2 Stability Discussion 8.3 Curve-Fitting of Material Parameters from Experimental Data Chapter 9 Viscoelasticity of Polymers 9.1 Linear Viscoelastic Models 9.2 Shift Functions Chapter 10 Eight-Chain Based Viscoplasticity Models 10.1 Bergstrom-Boyce Model 10.2 Simulation of Small Punch Test Chapter 11 Mullins Effect 11.1 Introduction of Mullins Effect 11.2 Ogden-Roxburgh Mullins Effect Model 11.3 Simulation of a Rubber Tire with the Mullins Effect Chapter 12 UserHyper for Hyperelastic Materials 12.1 Introduction of Subroutine UserHyper 12.2 Simulation of Veronda-Westman Model Part 3 SOIL Chapter 13 Soil Introduction 13.1 Soil Structure 13.2 Soil Parameters Chapter 14 Cam Clay Model 14.1 Introduction of Modified Cam Clay Model 14.2 Modified Cam Clay in ANSYS 14.3 Simulation of Soil Excavation 14.4 Simulation of A Tower on the Ground by Modified Cam Clay Model Chapter 15 Drucker-Prager Model 15.1 Introduction of Drucker-Prager Model 15.2 Simulation of Concrete Slump Test 15.3 Study of Soil-Arch Interaction Chapter 16 Mohr-Coulomb Model 16.1 Introduction of Mohr-Coulomb Model 16.2 Mohr-Coulomb Model in ANSYS 16.3 Concrete Slump Test 16.4 Study of Slope Stability Chapter 17 Jointed Rock Model 17.1 Jointed Rock Model 17.2 Definition of Jointed Rock Model in ANSYS 17.3 Simulation of Tunnel Excavation Chapter 18 Consolidation of Soils 18.1 Consolidation of Soils 18.2 Modeling Porous Media in ANSYS 18.3 Simulation of Terzaghi’s Problem 18.4 Simulation of Consolidation of Three-Well Zone Part 4 MODERN MATERIALS Chapter 19 Composite Materials 19.1 Introduction of Composite Materials 19.2 Modeling Composites in ANSYS 19.3 Simulation of Composite Structure in Failure Test 19.4 Simulation of Crack Growth in Single Leg Bending Problem Chapter 20 Functionally Graded Material 20.1 Introduction of Functionally Graded Material 20.2 Material Model of Functionally Graded Material 20.3 Simulation of Spur Gear with Functionally Graded Material Chapter 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 Piezoelectricity 22.1 Introduction of Piezoelectricity 22.2 Structures and Mechanical Behaviors of Piezoelectric Materials 22.3 Constitutive Equation of Piezoelectricity 22.4 Simulation of Piezoelectric Accelerometer Chapter 23 Nano Materials 23.1 Introduction of Nano 23.2 Determination of Young’s Modulus of Fe Particles Part 5 Retrospective Chapter 24 Retrospective Appendix 1 Input File of Curve-Fitting of the Chaboche Model in Section 3.2 Appendix 2 Input File of the Ratchetting Model in Section 3.2 Appendix 3 Input File of the Forming Process Model in Section 4.1 Appendix 4 Input File of the Bolt Model under Pretension in Section 4.2 Appendix 5 Input File of the Combustion Chamber Model in Section 5.2 Appendix 6 UserMat of Strain-Hardening Model in Section 6.2 Appendix 7 Input File of the Uniaxial Test with Strain-Hardening Model in Section 6.2 Appendix 8 Input File of Curve-Fitting of the Ogden Model in Section 8.3 Appendix 9 Input File of the Liver Soft Tissue Model in Section 9.1 Appendix 10 Input File of the Stress Evolution of Glass Tube in Section 9.2 Appendix 11 Input File of the Small Punch Test in Section 10.2 Appendix 12 Input File of the Rubber Tire Damage Model in Section 11.3 Appendix 13 Input File of the Breast Tumor Model in Section 12.2 Appendix 14 Input File of the Soil Excavation in Section 14.3 Appendix 15 Input File of the Tower Subsidence Model in Section 14.4 Appendix 16 Input File of the Concrete Slump Test in Section 15.2 Appendix 17 Input File of the Soil-Arch Interaction Model in Section 15.3 Appendix 18 Input File of the Concrete Slump Test in Section 16.3 Appendix 19 Input File of the Slope Stability Model in Section 16.4 Appendix 20 Input File of the Tunnel Excavation Model in Section 17.3 Appendix 21 Input File of One Dimensional Terzaghi’s Problem in Section 18.3 Appendix 22 Input File of the Settlement Model in Section 18.4 Appendix 23 Input File of the Composite Damage Model in Section 19.3 Appendix 24 Input File of the SLB Model in Section 19.4 Appendix 25 Input File of the Spur Gear Model with FGM in Section 20.3 Appendix 26 Input File of the Orthodontic Wire Model in Section 21.2 Appendix 27 Input File of the Vacuum Tight Shape Memory Flange Model in Section 21.3 Appendix 28 Input File of the Piezoelectric Microaccelerometer Model in Section 22.4 Appendix 29 Input File of the Contact Model in Section 23.2