Material Modeling in Finite Element Analysis (2^nd Ed.)

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.

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

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.