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Fracture mechanics of electromagnetic materials : nonlinear field theory and applications

Author: Xiaohong Chen; Y W Mai
Publisher: London, UK : Imperial College Press ; Singapore : Dist. by World Scientific, ©2013.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This volume 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 --
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Genre/Form: Electronic books
Electronic book
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Xiaohong Chen; Y W Mai
ISBN: 9781848166639 184816663X 9781283850629 1283850621
OCLC Number: 819379101
Description: 1 online resource (xix, 305 pages) : illustrations
Contents: Machine generated contents note: 1.1. Historical Perspective --
1.2. Stress Intensity Factors (SIF) --
1.3. Energy Release Rate (ERR) --
1.4.J-Integral --
1.5. Dynamic Fracture --
1.6. Viscoelastic Fracture --
1.7. Essential Work of Fracture (EWF) --
1.8. Configuration Force (Material Force) Method --
1.9. Cohesive Zone and Virtual Internal Bond Models --
2.1. Notations --
2.1.1. Eulerian and Lagrangian descriptions --
2.1.2. Electromagnetic field --
2.1.3. Electromagnetic body force and couple --
2.1.4. Electromagnetic stress tensor and momentum vector --
2.1.5. Electromagnetic power --
2.1.6. Poynting theorem --
2.2. Maxwell Equations --
2.3. Balance Equations of Mass, Momentum, Moment of Momentum, and Energy --
2.4. Constitutive Relations --
2.5. Linearized Theo --
3.1. Thermoelasticity --
3.2. Viscoelasticity --
3.3. Coupled Theory of Thermoviscoelasticity --
3.3.1. Fundamental principles of thermodynamics --
3.3.2. Formulation based on Helmholtz free energy functional. Note continued: 3.3.3. Formulation based on Gibbs free energy functional --
3.4. Thermoviscoelastic Boundary-Initial Value Problems --
4.1. Introduction --
4.2. Basic Field Equations --
4.3. General Solution Procedures --
4.4. Debates on Crack-Face Boundary Conditions --
4.5. Fracture Criteria --
4.5.1. Field intensity factors --
4.5.2. Path-independent integral --
4.5.3. Mechanical strain energy release rate --
4.5.4. Global and local energy release rates --
4.6. Experimental Observations --
4.6.1. Indentation test --
4.6.2.Compact tension test --
4.6.3. Bending test --
4.7. Nonlinear Studies --
4.7.1. Electrostriction/magnetostriction --
4.7.2. Polarization/magnetization saturation --
4.7.3. Domain switching --
4.7.4. Domain wall motion --
4.8. Status and Prospects --
5.1. Introduction --
5.2. Fundamental Principles of Thermodynamics --
5.3. Energy Flux and Dynamic Contour Integral --
5.4. Dynamic Energy Release Rate Serving as Crack Driving Force. Note continued: 5.5. Configuration Force and Energy-Momentum Tensor --
5.6. Coupled Electromechanical Jump/Boundary Conditions --
5.7. Asymptotic Near-Tip Field Solution --
5.8. Remarks --
6.1. Introduction --
6.2. Thermodynamic Formulation of Fully Coupled Dynamic Framework --
6.2.1. Field equations and jump conditions --
6.2.2. Dynamic energy release rate --
6.2.3. Invariant integral --
6.3. Stroh-Type Formalism for Steady-State Crack Propagation under Coupled Magneto-Electro-Mechanical Jump/Boundary Conditions --
6.3.1. Generalized plane crack problem --
6.3.2. Steady-state solution --
6.3.3. Path-independent integral for steady crack growth --
6.4. Magneto-Electro-Elastostatic Crack Problem as a Special Case --
6.5. Summary --
7.1. Introduction --
7.2. Shear Horizontal Surface Waves --
7.3. Transient Mode-III Crack Growth Problem --
7.4. Integral Transform, Wiener-Hopf Technique, and Cagniard-de Hoop Method --
7.5. Fundamental Solutions for Traction Loading Only. Note continued: 7.6. Fundamental Solutions for Mixed Loads --
7.7. Evaluation of Dynamic Energy Release Rate --
7.8. Influence of Shear Horizontal Surface Wave Speed and Crack Tip Velocity --
8.1. Introduction --
8.2. Formulation of Boundary-Initial Value Problems --
8.3. Basic Solution Techniques --
8.4. Fracture Characterizing Parameters --
8.4.1. Field intensity factors --
8.4.2. Dynamic energy release rate --
8.4.3. Path-domain independent integral --
8.5. Remarks --
9.1. Introduction --
9.2. Local Balance Equations for Magnetic, Thermal, and Mechanical Field --
Quantities --
9.3. Free Energy and Entropy Production Inequality for Memory-Dependent Magnetosensitive Materials --
9.4. Coupled Magneto-Thermo-Viscoelastic Constitutive Relations --
9.5. Generalized J-Integral in Nonlinear Magneto-Thermo-Viscoelastic Fracture --
9.6. Generalized Plane Crack Problem and Revisit of Mode-III Fracture of a Magnetostrictive Solid in a Bias Magnetic Field --
10.1. Introduction. Note continued: 10.2. Local Balance Equations for Electric, Thermal, and Mechanical Field Quantities --
10.3. Free Energy and Entropy Production Inequality for Memory-Dependent Electrosensitive Materials --
10.4. Coupled Electro-Thermo-Viscoelastic Constitutive Relations --
10.5. Generalized J -Integral in Nonlinear Electro-Thermo-Viscoelastic Fracture --
10.6. Analogy between Nonlinear Magneto- and Electro-Thermo-Viscoelastic Constitutive and Fracture Theories --
10.7. Reduction to Dorfmann-Ogden Nonlinear Magneto- and Electro-elasticity --
11.1. Introduction --
11.2. Global Energy Balance Equation and Non-Negative Global Dissipation Requirement --
11.3. Hamiltonian Density and Thermodynamically Admissible Conditions --
11.3.1. Generalized functional thermodynamics --
11.3.2. Generalized state-variable thermodynamics --
11.4. Thermodynamically Consistent Time-Dependent Fracture Criterion --
11.5. Generalized Energy Release Rate versus Bulk Dissipation Rate. Note continued: 11.6. Local Generalized J-Integral versus Global Generalized J-Integral --
11.7. Essential Work of Fracture versus Nonessential Work of Fracture --
12.1. Introduction --
12.2. Nonlinear Field Equations --
12.2.1. Balance equations --
12.2.2. Constitutive laws --
12.3. Thermodynamically Consistent Time-Dependent Fracture Criterion --
12.4. Correlation with Conventional Fracture Mechanics Approaches --
13.1. Introduction --
13.2. Energy Release Rate Method and its Generalization --
13.3.J-R Curve Method and its Generalization --
13.4. Essential Work of Fracture Method and its Extension --
13.5. Closure.
Responsibility: Xiaohong Chen, Yiu-Wing Mai.

Abstract:

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  Read more...

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