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.

Description-Table Of Contents

ch. 1. Fundamentals of fracture mechanics. 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 -- ch. 2. Elements of electrodynamics of continua. 2.1. Notations. 2.2. Maxwell equations. 2.3. Balance equations of mass, momentum, moment of momentum, and energy. 2.4. Constitutive relations. 2.5. Linearized theory -- ch. 3. Introduction to thermoviscoelasticity. 3.1. Thermoelasticity. 3.2. Viscoelasticity. 3.3. Coupled theory of thermoviscoelasticity. 3.4. Thermoviscoelastic boundary-initial value problems -- ch. 4. Overview on fracture of electromagnetic materials. 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. 4.6. Experimental observations. 4.7. Nonlinear studies. 4.8. Status and prospects -- ch. 5. Crack driving force in electro-thermo-elastodynamic fracture. 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. 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 -- ch. 6. Dynamic fracture mechanics of magneto-electro-thermo-elastic solids. 6.1. Introduction. 6.2. Thermodynamic formulation of fully coupled dynamic framework. 6.3. Stroh-type formalism for steady-state crack propagation under coupled magneto-electro-mechanical jump/boundary conditions. 6.4. Magneto-electro-elastostatic crack problem as a special case. 6.5. Summary -- ch. 7. Dynamic crack propagation in magneto-electro-elastic solids. 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. 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 ch. 8. Fracture of functionally graded materials. 8.1. Introduction. 8.2. Formulation of boundary-initial value problems. 8.3. Basic solution techniques. 8.4. Fracture characterizing parameters. 8.5. Remarks -- ch. 9. Magneto-thermo-viscoelastic deformation and fracture. 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 [symbol]-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 -- ch. 10. Electro-thermo-viscoelastic deformation and fracture. 10.1. Introduction. 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 [symbol]-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 -- ch. 11. Nonlinear field theory of fracture mechanics for paramagnetic and ferromagnetic materials. 11.1. Introduction. 11.2. Global energy balance equation and non-negative global dissipation requirement. 11.3. Hamiltonian density and thermodynamically admissible conditions. 11.4. Thermodynamically consistent time-dependent fracture criterion. 11.5. Generalized energy release rate versus bulk dissipation rate. 11.6. Local generalized [symbol]-integral versus global generalized [symbol]-integral. 11.7. Essential work of fracture versus nonessential work of fracture -- ch. 12. Nonlinear field theory of fracture mechanics for piezoelectric and ferroelectric materials. 12.1. Introduction. 12.2. Nonlinear field equations. 12.3. Thermodynamically consistent time-dependent fracture criterion. 12.4. Correlation with conventional fracture mechanics approaches -- ch. 13. Applications to fracture characterization. 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.