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

This monograph book is devoted to the theory of coupled electro-magneto-thermo-elastic fields excited in different bodies by various sources, both static and dynamic. It presents the classical piezoelectric and piezomagnetic effects, the Mindlin's electroelastic coupling due to a polarization gradient, and different combinations of these effects with thermoelasticity. It introduces the basic concepts and equations for the theories of electro- and magneto-mechanical couplings due to piezoeffects and polarization gradient and extends the existing dislocation theory for various cases and geometries.

Résumé
The basic subject chosen for this book is directly associated with physics of piezoelectricity and some other electro-magneto-thermo-elastic coupling phe­ nomena in solids. Fundamentals of physics of electromechanical interactions in dielectric bodies have been studied, both theoretically and experimentally, by a great number of researchers being reflected in multiple publications. It will be worthwhile to start our reference list from the old books by P. Curie [1] and W. Voigt first discovered piezoelectricity experimentally (1880) and the second established its relation to the crystalline structure (1884). We shall not go to detailed history of this field of science. One can find it in many more recent monographs devoted, in part or totally, to linear piezoelec­ tricity [3-9], to its nonlinear aspects [10-14] and to linear electromechanical coupling arising due to more delicate physical reasons and existing even in centrosymmetric media [15, 16]. The book is related to series of theoretical studies of electro-elastic fields in solids with piezoelectric coupling or polarization gradient.

Contenu
Two Types of Electro-Elastic Coupling and Their Role in Properties of Line Defects in Unbounded Anisotropic Media.- Piezoelectricity and Piezomagnetism: Basic Concepts and Equations.- Mindlin's Electro-Elastic Coupling due to Polarization Gradient.- General Electro-Elastic Line Defect in Unbounded Piezoelectric Body.- Thermo-Electro-Elastic Fields Accompanying Plastic Deformation.- Some Extensions for Dislocations in Materials with Polarization Gradient.- 1D and 2D Electro-Elastic Coupled Fields in Media with Surfaces and Interfaces.- Coupled Fields of Thermal Inclusion in Media with Polarization Gradient.- Green's Functions for Piezoelectric Strip with a General Line Source.- Green's Functions for Piezoelectric Strip with Line Surface Sources.- 2D Electro-Elastic Fields in a Piezoelectric Layer-Substrate Structure.- Acoustic Waves in Piezornagnetic and Piezoelectric Structures.