Fracture Mechanics of Electromagnetic Materials

The following sections are included:

• Foreword

• Preface

• Contents

• List of Tables

• List of Figures

The following sections are included:

• Historical Perspective

• Stress Intensity Factors (SIF)

• Energy Release Rate (ERR)

• J-Integral

• Dynamic Fracture

• Viscoelastic Fracture

• Essential Work of Fracture (EWF)

• Configuration Force (Material Force) Method

• Cohesive Zone and Virtual Internal Bond Models

The following sections are included:

• Notations

• Maxwell Equations

• Balance Equations of Mass, Momentum, Moment of Momentum, and Energy

• Constitutive Relations

• Linearized Theory

The following sections are included:

• Thermoelasticity

• Viscoelasticity

• Coupled Theory of Thermoviscoelasticity

• Thermoviscoelastic Boundary-Initial Value Problems

The following sections are included:

• Introduction

• Basic Field Equations

• General Solution Procedures

• Debates on Crack-Face Boundary Conditions

• Fracture Criteria
  • Field intensity factors
  • Path-independent integral
  • Mechanical strain energy release rate
  • Global and local energy release rates

• Experimental Observations
  • Indentation test
  • Compact tension test
  • Bending test

• Nonlinear Studies
  • Electrostriction/magnetostriction
  • Polarization/magnetization saturation
  • Domain switching
  • Domain wall motion

• Status and Prospects

The following sections are included:

• Introduction

• Fundamental Principles of Thermodynamics

• Energy Flux and Dynamic Contour Integral

• Dynamic Energy Release Rate Serving as Crack Driving Force

• Configuration Force and Energy-Momentum Tensor

• Coupled Electromechanical Jump/Boundary Conditions

• Asymptotic Near-Tip Field Solution

• Remarks

The following sections are included:

• Introduction

• Thermodynamic Formulation of Fully Coupled Dynamic Framework
  • Field equations and jump conditions
  • Dynamic energy release rate
  • Invariant integral

• Stroh-Type Formalism for Steady-State Crack Propagation under Coupled Magneto-Electro-Mechanical Jump/Boundary Conditions
  • Generalized plane crack problem
  • Steady-state solution
  • Path-independent integral for steady crack growth

• Magneto-Electro-Elastostatic Crack Problem as a Special Case

• Summary

The following sections are included:

• Introduction

• Shear Horizontal Surface Waves

• Transient Mode-III Crack Growth Problem

• Integral Transform, Wiener–Hopf Technique, and Cagniard–de Hoop Method

• Fundamental Solutions for Traction Loading Only

• Fundamental Solutions for Mixed Loads

• Evaluation of Dynamic Energy Release Rate

• Influence of Shear Horizontal Surface Wave Speed and Crack Tip Velocity

The following sections are included:

• Introduction

• Formulation of Boundary-Initial Value Problems

• Basic Solution Techniques

• Fracture Characterizing Parameters
  • Field intensity factors
  • Dynamic energy release rate
  • Path-domain independent integral

• Remarks

The following sections are included:

• Introduction

• Local Balance Equations for Magnetic, Thermal, and Mechanical Field Quantities

• Free Energy and Entropy Production Inequality for Memory-Dependent Magnetosensitive Materials

• Coupled Magneto-Thermo-Viscoelastic Constitutive Relations

• Generalized -Integral in Nonlinear Magneto-Thermo-Viscoelastic Fracture

• Generalized Plane Crack Problem and Revisit of Mode-III Fracture of a Magnetostrictive Solid in a Bias Magnetic Field

The following sections are included:

• Introduction

• Local Balance Equations for Electric, Thermal, and Mechanical Field Quantities

• Free Energy and Entropy Production Inequality for Memory-Dependent Electrosensitive Materials

• Coupled Electro-Thermo-Viscoelastic Constitutive Relations

• Generalized -Integral in Nonlinear Electro-Thermo-Viscoelastic Fracture

• Analogy between Nonlinear Magneto- and Electro-Thermo-Viscoelastic Constitutive and Fracture Theories

• Reduction to Dorfmann–Ogden Nonlinear Magneto- and Electro-elasticity

The following sections are included:

• Introduction

• Global Energy Balance Equation and Non-Negative Global Dissipation Requirement

• Hamiltonian Density and Thermodynamically Admissible Conditions
  • Generalized functional thermodynamics
  • Generalized state-variable thermodynamics

• Thermodynamically Consistent Time-Dependent Fracture Criterion

• Generalized Energy Release Rate versus Bulk Dissipation Rate

• Local Generalized -Integral versus Global Generalized -Integral

• Essential Work of Fracture versus Nonessential Work of Fracture

The following sections are included:

• Introduction

• Nonlinear Field Equations
  • Balance equations
  • Constitutive laws

• Thermodynamically Consistent Time-Dependent Fracture Criterion

• Correlation with Conventional Fracture Mechanics Approaches

The following sections are included:

• Introduction

• Energy Release Rate Method and its Generalization

• J-R Curve Method and its Generalization

• Essential Work of Fracture Method and its Extension

• Closure

The following sections are included:

• Bibliography

• Index