电弹性理论

Chapter 1Preliminary Knowledge and Continuum Thermodynamics
1.1Background
1.2Foundations of Classical Electrodynamics
1.3Some Preliminary Knowledge in Electroelasticity
1.4Classical Thermodynamics
1.5Continuum Thermodynamics and Irreversible Processes
1.6Physical Variational Principle (PVP)
1.7Some Extensions in Continuum Thermodynamics
1.8The SI System (International System of Units)
References
Chapter 2Physical Variational Principle and Governing Equations
2.1Electric Gibbs Free Energy Variational Principle in Piezoelectric Materials
2.2Alternative Forms of the Physical Variational Principles
2.3General Variational Principle
2.4Variational Principle in Piezoelectric Materials Under Finite DeformationChapter 1Preliminary Knowledge and Continuum Thermodynamics
1.1Background
1.2Foundations of Classical Electrodynamics
1.3Some Preliminary Knowledge in Electroelasticity
1.4Classical Thermodynamics
1.5Continuum Thermodynamics and Irreversible Processes
1.6Physical Variational Principle (PVP)
1.7Some Extensions in Continuum Thermodynamics
1.8The SI System (International System of Units)
References
Chapter 2Physical Variational Principle and Governing Equations
2.1Electric Gibbs Free Energy Variational Principle in Piezoelectric Materials
2.2Alternative Forms of the Physical Variational Principles
2.3General Variational Principle
2.4Variational Principle in Piezoelectric Materials Under Finite Deformation
2.5Internal Energy Variational Principle in Piezoelectric Materials
2.6Constitutive Equations in Electroelasticity
2.7Variational Principle in Pyroelectric Materials and Its Governing Equations
2.8Variational Principle and Governing Equations in Pyroelectric Materials with Diffusion
2.9Conservation Integrals in Piezoelectric Materials
References
Chapter 3Generalized Two-Dimensional Eiectroelastic Problem
3.1Generalized Two-Dimensional Linear Electroelastic Problem
3.2Generalized Displacement Method in the Piezoelectric Materials
3.3Stress Function Method
3.4An Elliptic Hole or Inclusion in a Transversely Isotropic Piezoelectric Material
3.5Rigid Elliptic Inclusion in Transversely Piezoelectric Material.
3.6Singularity
3.7Interaction of an Elliptic Inclusion with a Singularity
3.8Asymptotic Fields near a Line Inclusion Tip in a Homogeneous Material
References
Chapter 4Linear Inclusion and Related Problems
4.1Vector Riemann-Hilbert Boundary-Value Problem in the z Plane
4.2Interface Cracks in Piezoelectric Bimaterials
4.3Other Line Inclusions
4.4Short Discussions on Some Special Problems
4.5Interaction of Collinear Inclusions with Singularity
4.6Interaction of an Elliptic Hole and a Vice-Crack
4.7Strip Electric Saturation Model of an Impermeable Crack in a Homogeneous Material
4.8Strip Electric Saturation Model of a Mode-III Interface Crack in a Bimaterial
4.9Mode-HI Problem for a Circular Inclusion with Interface Cracks
References
Chapter 5Some Problems in More Complex Materials with Defects
5.1Isotropic Electrostrictive Material
5.2Cracked Infinite Electrostrictive Plate with Local Saturation Electric Field
5.3Asymptotic Analysis of a Crack Subjected to Electric Loading
5.4Pyroelectric Material
5.5Interface Crack in Dissimilar Pyroelectric Material
5.6Point Heat Source and Interaction with Cracks
5.7Functionally Graded Piezoelectric Material
References
Chapter 6Electroelastic: Wave
6.1Electroelastic Waves in Piezoelectric Materials
6.2Surface Wave
6.3Fundamental Theory of Layered Structure with Generalized Biasing Stresses
6.4Love Wave in ZnO/SiO2/Si Structure with Initial Stresses
6.5Other Surface Waves
6.6Waves in Pyroelectrics
6.7Reflection and Transmission of Waves in Pyroelectric and Piezoelectric Materials
6.8Coupling Problem of Elastic and Electromagnetic