Chapter 1 Preliminary Knowledge and Continuum Thermodynamics
1.1 Background
1.2 Foundations of Classical Electrodynamics
1.3 Some Preliminary Knowledge in Electroelasticity
1.4 Classical Thermodynamics
1.5 Continuum Thermodynamics and Irreversible Processes
1.6 Physical Variational Principle PVP
1.7 Some Extensions in Continuum Thermodynamics
1.8 The SI System International System of Units
References
Chapter 2 Physical Variational Principle and Governing Equations
2.1 Electric Gibbs Free Energy Variational Principle in Piezoelectric Materials
2.2 Alternative Forms of the Physical Variational Principles
2.3 General Variational Principle
2.4 Variational Principle in Piezoelectric Materials Under Finite Deformation
2.5 Internal Energy Variational Principle in Piezoelectric Materials
2.6 Constitutive Equations in Electroelasticity
2.7 Variational Principle in Pyroelectric Materials and Its Governing Equations
2.8 Variational Principle and Governing Equations in Pyroelectric Materials with Diffusion
2.9 Conservation Integrals in Piezoelectric Materials
References
Chapter 3 Generalized Two-Dimensional Eiectroelastic Problem
3.1 Generalized Two-Dimensional Linear Electroelastic Problem
3.2 Generalized Displacement Method in the Piezoelectric Materials
3.3 Stress Function Method
3.4 An Elliptic Hole or Inclusion in a Transversely Isotropic Piezoelectric Material
3.5 Rigid Elliptic Inclusion in Transversely Piezoelectric Material.
3.6 Singularity
3.7 Interaction of an Elliptic Inclusion with a Singularity
3.8 Asymptotic Fields near a Line Inclusion Tip in a Homogeneous Material
References
Chapter 4 Linear Inclusion and Related Problems
4.1 Vector Riemann-Hilbert Boundary-Value Problem in the z Plane
4.2 Interface Cracks in Piezoelectric Bimaterials
4.3 Other Line Inclusions
4.4 Short Discussions on Some Special Problems
4.5 Interaction of Collinear Inclusions with Singularity
4.6 Interaction of an Elliptic Hole and a Vice-Crack
4.7 Strip Electric Saturation Model of an Impermeable Crack in a Homogeneous Material
4.8 Strip Electric Saturation Model of a Mode-III Interface Crack in a Bimaterial
4.9 Mode-HI Problem for a Circular Inclusion with Interface Cracks
References
Chapter 5 Some Problems in More Complex Materials with Defects
5.1 Isotropic Electrostrictive Material
5.2 Cracked Infinite Electrostrictive Plate with Local Saturation Electric Field
5.3 Asymptotic Analysis of a Crack Subjected to Electric Loading
5.4 Pyroelectric Material
5.5 Interface Crack in Dissimilar Pyroelectric Material
5.6 Point Heat Source and Interaction with Cracks
5.7 Functionally Graded Piezoelectric Material
References
Chapter 6 Electroelastic: Wave
6.1 Electroelastic Waves in Piezoelectric Materials
6.2 Surface Wave
6.3 Fundamental Theory of Layered Structure with Generalized Biasing Stresses
6.4 Love Wave in ZnOSiO2Si Structure with Initial Stresses
6.5 Other Surface Waves
6.6 Waves in Pyroelectrics
6.7 Reflection and Transmission of Waves in Pyroelectric and Piezoelectric Materials
6.8 Coupling Problem of Elastic and Electromagnetic Waves in Piezoelectric Material
6.9 Transverse Wave Scattering from a Semi-infinite Conducting Crack
6.10 Transient Response of a Mode-I Crack
6.11 On the General Dynamic Analyses of Interface Cracks
References
Chapter 7 Three-Dimensional and Applied Electroelastic Problems
7.1 Potential Function Methods in Transversely Isotropic Piezoelectric Materials
7.2 A Penny-Shaped Crack in Transversely Isotropic Material
7.3 Ellipsoidal Inclusion and Inhomogeneity
7.4 Some Simpler Practical Problems
7.5 Laminated Piezoelectric Plates
7.6 The First-Order Approximate Theory of an Electro-magneto-elastic Thin Plate
7.7 Piezoelectric Composite Shells
References
Chapter 8 Failure Theories of Piezoelectric Materials
8.1 Experimental Studies
8.2 Some Practical Failure Criterions
8.3 The Local Energy Release Rate Theory
8.4 Failure Criterion of Conductive Cracks with Charge-Free Zone Model
8.5 Modal Strain Energy Density Factor Theory
8.6 Electric Breakdown of Solid Dielectrics
References
Index
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