Table of Contents

Cover image

Title page

Copyright

Contributors

Preface

Chapter One: Mechanics of Material Mutations

Abstract

1 A general view

2 Material morphologies and deformations

3 Observers

4 The relative power in the case of bulk mutations

5 Balance equations from the second law of thermodynamics: the case of hardening plasticity

6 Parameterized families of reference shapes: a tool for describing crack nucleation

7 Notes and further perspectives

Acknowledgments

Chapter Two: Dynamic Discrete Dislocation Plasticity

Abstract

1 Introduction

2 Discrete dislocation dynamics

3 Dynamic effects in the motion of dislocations

4 Dislocation dynamics and causality

5 The dynamic fields of dislocations

6 Aspects of the implementation of the dynamic fields of dislocations

7 The moving fields of dislocations

8 Methodological rules

9 A sample simulation

10 Conclusions

Acknowledgments

Chapter Three: The Hertz-Type and Adhesive Contact Problems for Depth-Sensing Indentation

Abstract

1 Introduction

2 The hertz-type contact problems

3 Indentation methods in materials science

4 Self-similarity of contact problems

5 Axisymmetric adhesive contact problems

6 Experimental evaluation of work of adhesion

7 Concluding remarks

Acknowledgments

Chapter Four: Multi Field Simulation of Fracture

Abstract

1 Introduction

2 Fracture Models

3 Governing Equations

4 Numerical Approaches to Fracturing

5 Discretized Governing Equations and Solution Procedure

6 Applications

7 Discussion and Conclusions

Acknowledgments

Index

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