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ABOUT THE BOOK

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 User Mat and User  Hyper. 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 micro accelerometer. 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

Preface 

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

               Reference

Chapter 3 Some Plastic Material Models of Metals

               3.1 Introduction of Plasticity

               3.2 Nonlinear Kinematic Hardening

               References

Chapter 4 Material Properties as Function of Time

               4.1 Viscoplasticity

               4.2 Creep

               4.3 Discussion of Viscoplasticity and Creep

               References

Chapter 5 Influence of Temperature on Material Properties

               5.1 Temperature Dependency of Material Properties

               5.2 Simulation of Combustion Chamber under Different

               Temperatures

               References

Chapter 6 Subroutine UserMat

               6.1 UserMat Development

               6.2 UserMat of Strain-Hardening Material Model

               References

Part 2 POLYMERS

Chapter 7 Structure and Features of Polymer

               7.1 Structure of Polymer

               7.2 Features of Polymer

               References

Chapter 8 Hyperelasticity

               8.1 Some Widely Used Hyperelastic Models

               8.2 Stability Discussion

               8.3 Curve-Fitting of Material Parameters from Experimental Data

               References

Chapter 9 Viscoelasticity of Polymers

               9.1 Viscoelasticity of Polymers

               9.2 Shift Functions

               References

Chapter 10 Eight-Chain-Based Viscoplasticity Models

               10.1 Bergstrom-Boyce Model

               10.2 Simulation of Small Punch Test

               References

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

               References

Chapter 12 UserHyper for Modeling Hyperelastic Materials

               12.1 Introduction of Subroutine UserHyper

               12.2 Simulation of Veronda-Westman Model

               References

Part 3 SOIL

Chapter 13 Soil Introduction

               13.1 Soil Structure

               13.2 Soil Parameters

               References

Chapter 14 Cam Clay Model

               14.1 Introduction of Modified Cam Clay Model

               14.2 Modified Cam Clay Model in ANSYS

               14.3 Simulation of Soil Excavation

               14.4 Simulation of a Tower on the Ground by Modified Cam Clay Model

               References

Chapter 15 Drucker-Prager Model

               15.1 Introduction of Drucker-Prager Model

               15.2 Simulation of Concrete Slump Test

               15.3 Study of a Soil-Arch Interaction

               References

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

               References

Chapter 17 Jointed Rock Model

               17.1 Jointed Rock Model

               17.2 Definition of the Jointed Rock Model in ANSYS

               17.3 Simulation of Tunnel Excavation

               References

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

               References

Part 4 MODERN MATERIALS

Chapter 19 Composite Materials

               19.1 Introduction of Composite Materials

               19.2 Modeling Composite in ANSYS

               19.3 Simulation of Composite Structure in Failure Test

               19.4 Simulation of Crack Growth in Single Leg Bending Problem

               References

Chapter 20 Functionally Graded Material

               20.1 Introduction of Functionally Graded Material

               20.2 Material Model of Functionally Graded Material

               20.3 Simulation of a Spur Gear with Functionally Graded Materials

               References

Chapter 21 Shape Memory Alloys

               21.1 Structure of SMA and Various Material Models

               21.2 Simulation of Orthodontic Wire

               21.3 Simulation of a Vacuum-Tight Shape Memory Flange

               References

Chapter 22 Simulation of Piezoelectricity

               22.1 Introduction to Piezoelectricity

               22.2 Structures and Mechanical Behaviors of Piezoelectric Materials

               22.3 Constitutive Equation of Piezoelectricity

               22.4 Simulation of Piezoelectric Accelerometer

               References

Chapter 23 Nano Materials

               23.1 Introduction of Nano

               23.2 Determination of Young’s Modulus of Fe Particles

               References

Part 5 RETROSPECTIVE

Chapter 24 Retrospective

               24.1 Close Association of Material Properties with the Structure

               24.2 Significant Influences of Temperature on Material Properties

               24.3 Various Materials with Different Solution Controls

               24.4 Various Fields with Different Units

               24.5 Anisotropic Material with Symmetrical Conditions

               24.6 Application of Four Soil Models

               24.7 Definition of Material Parameters

               24.8 User Subroutine

Appendix 1 Input File of Curve-Fitting of the Chaboche Model in Section 3.2

Appendix 2 Input File of the Ratcheting 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 Forming Process Model in Section 4.1

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

Index