Fracture mechanics of electromagnetic materials : nonlinear field theory and applications

Title:

Personal Author:

Chen, Xiaohong

Publication Information:

London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific Pub., c2013.

Physical Description:

xix, 305p. : ill. ; 23cm.

ISBN:

9781848166639

Subject Term:

Fracture mechanics -- Mathematics

Added Author:

Mai, Yiu-Wing

Available:*

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... MJIIT Library	33000000001223	TA409 C444 2013	Open Access Book	Book	Searching... Unknown
Searching... PSZ KL	30000010239534	TA409 C444 2013	Open Access Book	Book	Searching... Unknown

Fracture Mechanics of Electromagnetic Materials provides a comprehensive overview of fracture mechanics of conservative and dissipative materials, as well as a general formulation of nonlinear field theory of fracture mechanics and a rigorous treatment of dynamic crack problems involving coupled magnetic, electric, thermal and mechanical field quantities.Thorough emphasis is placed on the physical interpretation of fundamental concepts, development of theoretical models and exploration of their applications to fracture characterization in the presence of magneto-electro-thermo-mechanical coupling and dissipative effects. Mechanical, aeronautical, civil, biomedical, electrical and electronic engineers interested in application of the principles of fracture mechanics to design analysis and durability evaluation of smart structures and devices will find this book an invaluable resource.

Foreword	p. vii
Preface	p. ix
List of Tables	p. xvi
List of Figures	p. xvii
Chapter 1 Fundamentals of Fracture Mechanics	p. 1
1.1 Historical Perspective	p. 1
1.2 Stress Intensity Factors (SIF)	p. 4
1.3 Energy Release Rate (ERR)	p. 6
1.4 J-Integral	p. 7
1.5 Dynamic Fracture	p. 9
1.6 Viscoelastic Fracture	p. 13
1.7 Essential Work of Fracture (EWF)	p. 16
1.8 Configuration Force (Material Force) Method	p. 18
1.9 Cohesive Zone and Virtual Internal Bond Models	p. 21
Chapter 2 Elements of Electrodynamics of Continua	p. 26
2.1 Notations	p. 27
2.1.1 Eulerian and Lagrangian descriptions	p. 27
2.1.2 Electromagnetic field	p. 31
2.1.3 Electromagnetic body force and couple	p. 32
2.1.4 Electromagnetic stress tensor and momentum vector	p. 34
2.1.5 Electromagnetic power	p. 35
2.1.6 Poynting theorem	p. 36
2.2 Maxwell Equations	p. 36
2.3 Balance Equations of Mass, Momentum, Moment of Momentum, and Energy	p. 39
2.4 Constitutive Relations	p. 42
2.5 Linearized Theory	p. 44
Chapter 3 Introduction to Thermoviscoelasticity	p. 55
3.1 Thermoelasticity	p. 55
3.2 Viscoelasticity	p. 57
3.3 Coupled Theory of Thermoviscoelasticity	p. 60
3.3.1 Fundamental principles of thermodynamics	p. 60
3.3.2 Formulation based on Helmholtz free energy functional	p. 61
3.3.3 Formulation based on Gibbs free energy functional	p. 64
3.4 Thermoviscoelastic Boundary-Initial Value Problems	p. 67
Chapter 4 Overview on Fracture of Electromagnetic Materials	p. 70
4.1 Introduction	p. 70
4.2 Basic Field Equations	p. 71
4.3 General Solution Procedures	p. 73
4.4 Debates on Crack-Face Boundary Conditions	p. 76
4.5 Fracture Criteria	p. 78
4.5.1 Field intensity factors	p. 78
4.5.2 Path-independent integral	p. 80
4.5.3 Mechanical strain energy release rate	p. 83
4.5.4 Global and local energy release rates	p. 85
4.6 Experimental Observations	p. 87
4.6.1 Indentation test	p. 87
4.6.2 Compact tension test	p. 91
4.6.3 Bending test	p. 93
4.7 Nonlinear Studies	p. 95
4.7.1 Electrostriction/magnetostriction	p. 95
4.7.2 Polarization/magnetization saturation	p. 96
4.7.3 Domain switching	p. 97
4.7.4 Domain wall motion	p. 100
4.8 Status and Prospects	p. 101
Chapter 5 Crack Driving Force in Electro-Thermo-Elastodynamic Fracture	p. 103
5.1 Introduction	p. 103
5.2 Fundamental Principles of Thermodynamics	p. 104
5.3 Energy Flux and Dynamic Contour Integral	p. 106
5.4 Dynamic Energy Release Rate Serving as Crack Driving Force	p. 108
5.5 Configuration Force and Energy-Momentum Tensor	p. 108
5.6 Coupled Electromechanical Jump/Boundary Conditions	p. 110
5.7 Asymptotic Near-Tip Field Solution	p. 111
5.8 Remarks	p. 118
Chapter 6 Dynamic Fracture Mechanics of Magneto-Electro-Thermo-Elastic Solids	p. 120
6.1 Introduction	p. 120
6.2 Thermodynamic Formulation of Fully Coupled Dynamic Framework	p. 121
6.2.1 Field equations and jump conditions	p. 121
6.2.2 Dynamic energy release rate	p. 124
6.2.3 Invariant integral	p. 125
6.3 Stroh-Type Formalism for Steady-State Crack Propagation under Coupled Magneto-Electro-Mechanical Jump/Boundary Conditions	p. 128
6.3.1 Generalized plane crack problem	p. 128
6.3.2 Steady-state solution	p. 129
6.3.3 Path-independent integral for steady crack growth	p. 134
6.4 Magneto-Electro-Elastostatic Crack Problem as a Special Case	p. 136
6.5 Summary	p. 137
Chapter 7 Dynamic Crack Propagation in Magneto-Electro-Elastic Solids	p. 139
7.1 Introduction	p. 139
7.2 Shear Horizontal Surface Waves	p. 140
7.3 Transient Mode-III Crack Growth Problem	p. 146
7.4 Integral Transform, Wiener-Hopf Technique, and Cagniard-de Hoop Method	p. 150
7.5 Fundamental Solutions for Traction Loading Only	p. 159
7.6 Fundamental Solutions for Mixed Loads	p. 164
7.7 Evaluation of Dynamic Energy Release Rate	p. 174
7.8 Influence of Shear Horizontal Surface Wave Speed and Crack Tip Velocity	p. 176
Chapter 8 Fracture of Functionally Graded Materials	p. 179
8.1 Introduction	p. 179
8.2 Formulation of Boundary-Initial Value Problems	p. 180
8.3 Basic Solution Techniques	p. 183
8.4 Fracture Characterizing Parameters	p. 195
8.4.1 Field intensity factors	p. 195
8.4.2 Dynamic energy release rate	p. 201
8.4.3 Path-domain independent integral	p. 202
8.5 Remarks	p. 204
Chapter 9 Magneto-Thermo-Viscoelastic Deformation and Fracture	p. 206
9.1 Introduction	p. 206
9.2 Local Balance Equations for Magnetic, Thermal, and Mechanical Field Quantities	p. 207
9.3 Free Energy and Entropy Production Inequality for Memory-Dependent Magnetosensitive Materials	p. 209
9.4 Coupled Magneto-Thermo-Viscoelastic Constitutive Relations	p. 210
9.5 Generalized J-Integral in Nonlinear Magneto-Thermo-Viscoelastic Fracture	p. 215
9.6 Generalized Plane Crack Problem and Revisit of Mode-III Fracture of a Magnetostrictive Solid in a Bias Magnetic Field	p. 218
Chapter 10 Electro-Thermo-Viscoelastic Deformation and Fracture	p. 221
10.1 Introduction	p. 221
10.2 Local Balance Equations for Electric, Thermal, and Mechanical Field Quantities	p. 222
10.3 Free Energy and Entropy Production Inequality for Memory-Dependent Electrosensitive Materials	p. 224
10.4 Coupled Electro-Thermo-Viscoelastic Constitutive Relations	p. 225
10.5 Generalized J-Integral in Nonlinear Electro-Thermo-Viscoelastic Fracture	p. 231
10.6 Analogy between Nonlinear Magneto- and Electro-Thermo-Viscoelastic Constitutive and Fracture Theories	p. 234
10.7 Reduction to Dorfmann-Ogden Nonlinear Magneto- and Electro-elasticity	p. 236
Chapter 11 Nonlinear Field Theory of Fracture Mechanics for Paramagnetic and Ferromagnetic Materials	p. 237
11.1 Introduction	p. 237
11.2 Global Energy Balance Equation and Non-Negative Global Dissipation Requirement	p. 238
11.3 Hamiltonian Density and Thermodynamically Admissible Conditions	p. 241
11.3.1 Generalized functional thermodynamics	p. 241
11.3.2 Generalized state-variable thermodynamics	p. 243
11.4 Thermodynamically Consistent Time-Dependent Fracture Criterion	p. 246
11.5 Generalized Energy Release Rate versus Bulk Dissipation Rate	p. 246
11.6 Local Generalized J -Integral versus Global Generalized J -Integral	p. 248
11.7 Essential Work of Fracture versus Nonessential Work of Fracture	p. 250
Chapter 12 Nonlinear Field Theory of Fracture Mechanics for Piezoelectric and Ferroelectric Materials	p. 252
12.1 Introduction	p. 252
12.2 Nonlinear Field Equations	p. 253
12.2.1 Balance equations	p. 253
12.2.2 Constitutive laws	p. 255
12.3 Thermodynamically Consistent Time-Dependent Fracture Criterion	p. 256
12.4 Correlation with Conventional Fracture Mechanics Approaches	p. 258
Chapter 13 Applications to Fracture Characterization	p. 264
13.1 Introduction	p. 264
13.2 Energy Release Rate Method and its Generalization	p. 264
13.3 J-R Curve Method and its Generalization	p. 268
13.4 Essential Work of Fracture Method and its Extension	p. 271
13.5 Closure	p. 273
Bibliography	p. 276
Index	p. 299

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