Local Gradient Theory for Dielectrics : Fundamentals and Applications book cover
1st Edition

Local Gradient Theory for Dielectrics
Fundamentals and Applications

ISBN 9789814800624
Published December 27, 2019 by Jenny Stanford Publishing
330 Pages 6 Color & 34 B/W Illustrations

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Book Description

This book is devoted to the development of the local gradient theory of dielectrics. It presents a brief description of the known approaches to the construction of generalized (integral- and gradient-type) continuous theories of dielectrics. It describes a new continuum–thermodynamic approach to the construction of nonlinear high-order gradient theory of thermoelastic non-ferromagnetic polarized media. This approach is based on accounting for non-diffusive and non-convective mass fluxes associated with the changes in the material microstructure. Within the linear approximation, the theory has been applied to study 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, flexoelectric, pyroelectric, and thermopolarization effects in centrosymmetric crystals, the Meads anomaly, the high frequency dispersion of elastic waves, etc.) that cannot be explained within the framework of the classical theory of dielectrics.


Table of Contents

1. A Review of the Gradient and Nonlocal Theories of Electrothermoelastic Polarized Media.  2. Thermodynamic Foundations of Local Gradient Electrothermomechanics of Polarized Nonferromagnetic Solids Taking the Local Mass Displacement into Account.  3. Generalized Local Gradient Theories of Dielectrics.  4. Near-Surface Inhomogeneity of Electromechanical Fields.  5. Stationary Harmonic Wave Processes.

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Olha Hrytsyna is lead researcher at the Department of Mathematical Methods of Computing Experiment, Center of Mathematical Modeling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine (IAPMM NASU), Lviv, Ukraine.

Vasyl Kondrat is emeritus professor at Petro Sahaidachnyi National Army Academy, Ukraine. He earned his PhD and DSc in physics and mathematics from the IAMPP NASU in 1978 and 2005, respectively.