Static and Dynamic Coupled Fields in Bodies with Piezoeffects or Polarization Gradient

Table of Contents

Introduction

Part I Two Types of Electro-Elastic Coupling and Their Role in Properties of Line Defects in Unbounded Anisotropic Media

1 Piezoelectricity and Piezomagnetism: Basic Concepts and Equations

1.1 Thermodynamic potentials

1.2 Linear piezoelectricity

1.3 Piezomagnetic effects of linear and linearized origins

2 Mindlin's Electro-Elastic Coupling due to Polarization Gradient

2.1 Toupin's alternative formulation of the theory of piezoelectricity

2.2 Mindlin's extension of the classical theory of piezoelectricity

2.3 Mindlin's equations for centrosymmetric and isotropic media

2.4 Thermoelasticity of dielectrics with polarization gradient

3 General Electro-Elastic Line Defec tin Unbounded Piezoelectric Body

3.1 Dislocation and its electrostatic analog as a combined line defect

3.2 Fundamental properties of 4D dislocations of arbitrary shape

3.3 Electro-elastic fields of straight 4D dislocations

4 Thermo-Electro-Elastic Fields Accompanying Plastic Deformation

4.1 Thermodynamics of plastic deformation in thermoelastic piezoelectrics

4.2 Coupled fields produced by a moving straight dislocation

4.3 The temperature distribution around a moving edge dislocation

5 Some Extensions for Dislocation in Materials with Polarization Gradient

5.1 Linear and surface definitions of a dislocation

5.2 The field of a straight dislocation

Part II 1D and 2D Electro-Elastic Coupled Fields in Media with Surfaces and Interfaces

6 Coupled Fields of Thermal Inclusion in Media with Polarization Gradient

6.1 Plain thermal inclusion in unbounded dielectric medium

6.2 Thermal inclusion at the surface of a half-infinite dielectric

6.3 Plain thermal inclusion in the middle of a dielectric plate

6.4 Plain thermal inclusion at the surface of a dielectric plate

6.5 Cylindrical thermal inclusion in an infinite dielectric medium

6.6 Conclusions

7 Green's Functions for Piezoelectric Strip with a General Line Source

7.1 Statement of the problem and basic equations

7.2 Boundary conditions and their block representations

7.3 Green's function for the plate with free surfaces

7.4 Green's functions for plates with other boundary conditions

7.5 Conclusions

8 Green's Functions for Piezoelectric Strip with Line Surface Sources

8.1 Basic equations and boundary conditions

8.2 Strips with prescribed loads at both surfaces

8.3 Strips with prescribed displacements at both surfaces

8.4 Strips with prescribed displacements at one surface and loads at another

8.5 Conclusions

9 2D Electro-Elastic Fields in a Piezoelectric Layer-Substrate Structure

9.1 Basic equations

9.2 Boundary conditions at the surface and at the interface

9.3 General and partial solutions for n(k,y) and n(x,y)

9.4 Electro-elastic fields excited by the line source in the interior of the structure

9.5 Electro-elastic fields excited at the surface of the structure

9.6 Conclusions

10 Acoustic Waves in Piezomagnetic and Piezoelectric Structures

10.1 Bluestien-Gulyaev type surface waves in piezomagnetics

10.2 Magnetoelastic SH waves in a bicrystalline gap structure

10.3 Resonance excitation of Bluestein-Gulyaev waves

10.4 Waveguide Sh acoustic modes in a piezoelictric plate

References