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| Foreword | |
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| Preface | |
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| List of Tables | |
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| List of Figures | |
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| Fundamentals of Fracture Mechanics | |
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| Historical Perspective | |
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| Stress Intensity Factors (SIF) | |
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| Energy Release Rate (ERR) | |
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| J-Integral | |
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| Dynamic Fracture | |
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| Viscoelastic Fracture | |
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| Essential Work of Fracture (EWF) | |
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| Configuration Force (Material Force) Method | |
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| Cohesive Zone and Virtual Internal Bond Models | |
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| Elements of Electrodynamics of Continua | |
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| Notations | |
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| Eulerian and Lagrangian descriptions | |
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| Electromagnetic field | |
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| Electromagnetic body force and couple | |
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| Electromagnetic stress tensor and momentum vector | |
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| Electromagnetic power | |
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| Poynting theorem | |
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| Maxwell Equations | |
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| Balance Equations of Mass, Momentum, Moment of Momentum, and Energy | |
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| Constitutive Relations | |
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| Linearized Theory | |
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| Introduction to Thermoviscoelasticity | |
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| Thermoelasticity | |
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| Viscoelasticity | |
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| Coupled Theory of Thermoviscoelasticity | |
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| Fundamental principles of thermodynamics | |
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| Formulation based on Helmholtz free energy functional | |
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| Formulation based on Gibbs free energy functional | |
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| Thermoviscoelastic Boundary-Initial Value Problems | |
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| Overview on Fracture of Electromagnetic Materials | |
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| Introduction | |
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| Basic Field Equations | |
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| General Solution Procedures | |
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| Debates on Crack-Face Boundary Conditions | |
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| Fracture Criteria | |
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| Field intensity factors | |
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| Path-independent integral | |
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| Mechanical strain energy release rate | |
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| Global and local energy release rates | |
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| Experimental Observations | |
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| Indentation test | |
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| Compact tension test | |
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| Bending test | |
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| Nonlinear Studies | |
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| Electrostriction/magnetostriction | |
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| Polarization/magnetization saturation | |
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| Domain switching | |
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| Domain wall motion | |
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| Status and Prospects | |
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| Crack Driving Force in Electro-Thermo-Elastodynamic Fracture | |
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| Introduction | |
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| Fundamental Principles of Thermodynamics | |
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| Energy Flux and Dynamic Contour Integral | |
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| Dynamic Energy Release Rate Serving as Crack Driving Force | |
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| Configuration Force and Energy-Momentum Tensor | |
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| Coupled Electromechanical Jump/Boundary Conditions | |
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| Asymptotic Near-Tip Field Solution | |
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| Remarks | |
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| Dynamic Fracture Mechanics of Magneto-Electro-Thermo-Elastic Solids | |
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| Introduction | |
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| Thermodynamic Formulation of Fully Coupled Dynamic Framework | |
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| Field equations and jump conditions | |
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| Dynamic energy release rate | |
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| Invariant integral | |
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| Stroh-Type Formalism for Steady-State Crack Propagation under Coupled Magneto-Electro-Mechanical Jump/Boundary Conditions | |
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| Generalized plane crack problem | |
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| Steady-state solution | |
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| Path-independent integral for steady crack growth | |
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| Magneto-Electro-Elastostatic Crack Problem as a Special Case | |
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| Summary | |
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| Dynamic Crack Propagation in Magneto-Electro-Elastic Solids | |
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| Introduction | |
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| Shear Horizontal Surface Waves | |
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| Transient Mode-III Crack Growth Problem | |
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| Integral Transform, Wiener-Hopf Technique, and Cagniard-de Hoop Method | |
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| Fundamental Solutions for Traction Loading Only | |
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| Fundamental Solutions for Mixed Loads | |
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| Evaluation of Dynamic Energy Release Rate | |
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| Influence of Shear Horizontal Surface Wave Speed and Crack Tip Velocity | |
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| Fracture of Functionally Graded Materials | |
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| Introduction | |
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| Formulation of Boundary-Initial Value Problems | |
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| Basic Solution Techniques | |
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| Fracture Characterizing Parameters | |
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| Field intensity factors | |
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| Dynamic energy release rate | |
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| Path-domain independent integral | |
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| Remarks | |
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| Magneto-Thermo-Viscoelastic Deformation and Fracture | |
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| Introduction | |
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| Local Balance Equations for Magnetic, Thermal, and Mechanical Field Quantities | |
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| Free Energy and Entropy Production Inequality for Memory-Dependent Magnetosensitive Materials | |
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| Coupled Magneto-Thermo-Viscoelastic Constitutive Relations | |
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| Generalized J-Integral in Nonlinear Magneto-Thermo-Viscoelastic Fracture | |
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| Generalized Plane Crack Problem and Revisit of Mode-III Fracture of a Magnetostrictive Solid in a Bias Magnetic Field | |
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| Electro-Thermo-Viscoelastic Deformation and Fracture | |
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| Introduction | |
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| Local Balance Equations for Electric, Thermal, and Mechanical Field Quantities | |
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| Free Energy and Entropy Production Inequality for Memory-Dependent Electrosensitive Materials | |
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| Coupled Electro-Thermo-Viscoelastic Constitutive Relations | |
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| Generalized J-Integral in Nonlinear Electro-Thermo-Viscoelastic Fracture | |
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| Analogy between Nonlinear Magneto- and Electro-Thermo-Viscoelastic Constitutive and Fracture Theories | |
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| Reduction to Dorfmann-Ogden Nonlinear Magneto- and Electro-elasticity | |
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| Nonlinear Field Theory of Fracture Mechanics for Paramagnetic and Ferromagnetic Materials | |
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| Introduction | |
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| Global Energy Balance Equation and Non-Negative Global Dissipation Requirement | |
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| Hamiltonian Density and Thermodynamically Admissible Conditions | |
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| Generalized functional thermodynamics | |
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| Generalized state-variable thermodynamics | |
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| Thermodynamically Consistent Time-Dependent Fracture Criterion | |
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| Generalized Energy Release Rate versus Bulk Dissipation Rate | |
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| Local Generalized J -Integral versus Global Generalized J -Integral | |
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| Essential Work of Fracture versus Nonessential Work of Fracture | |
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| Nonlinear Field Theory of Fracture Mechanics for Piezoelectric and Ferroelectric Materials | |
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| Introduction | |
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| Nonlinear Field Equations | |
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| Balance equations | |
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| Constitutive laws | |
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| Thermodynamically Consistent Time-Dependent Fracture Criterion | |
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| Correlation with Conventional Fracture Mechanics Approaches | |
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| Applications to Fracture Characterization | |
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| Introduction | |
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| Energy Release Rate Method and its Generalization | |
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| J-R Curve Method and its Generalization | |
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| Essential Work of Fracture Method and its Extension | |
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| Closure | |
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| Bibliography | |
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| Index | |