Local Gradient Theory for Dielectrics: Fundamentals and Applications

Type of periodical: Monographies

Section: Mathematics

Publication date: 2020

Authors: Hrytsyna O., Kondrat V.

Summary: This book starts with a brief description of the known approaches to the construction of generalized (integral- and gradient-type) continuum theories of dielectrics. It describes a new continuum-thermodynamic approach for constructing nonlinear, local gradient theory of thermoelastic, non-ferromagnetic, polarized media. The approach considers non-diffusive and non-convective mass fluxes associated with changes in material microstructure. Within the linear approximation, the theory has been applied to study the transition modes of the formation of near-surface inhomogeneity of coupled fields in solids, disjoining pressure in thin films, etc. The theory describes a number of observable phenomena, including the surface, size, piezoelectric, pyroelectric, and thermopolarization effects in centrosymmetric crystals; the Mead’s anomaly; and the high-frequency dispersion of elastic waves, that cannot be explained within the classical theory of dielectrics.

ISBN 978-981-4800-62-4

Available at: https://www.jennystanford.com/9789814800624/local-gradient-theory-for-dielectrics/

Size in pages: 312

Print run: 300