Mathematical Methods in Electro-Magneto-Elasticity [Paperback]

The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. This book fills many gaps in the theoretical literature which arise due to the complexity of the problem. A vast number of problems are considered so that the reader can get a clear quantitative and qualitative understanding of the phenomena taking place.

Physical Fields in Solid Bodies.- Basic Equations of the Linear Electroelasticity.- Static Problems of Electroelasticity for Bimorphs with Stress Concentrators.- Diffraction of a Shear Wave on Tunnel Cracks in Media of Various Configurations (Antiplane Deformation).- Scattering of a Shear Wave by Cylindrical Inhomogeneities in Piezoceramic Media of Various Configurations (Antiplane Deformation).- Mixed Dynamic Problems of Electroelasticity for Piezoelectric Bodies with Surface Electrodes.- Harmonic Oscillations of Continuous Piezoceramic Cylinders with Inner Defects (Antiplane Deformation).- Electroacoustic Waves in Piezoceramic Media with Defects (Plane Deformation).- Fundamentals of Magnetoelasticity.- Influence of the Induced Currents on the Dynamic Intensity of Piecewise-Uniform Electro-Conductive Bodies in Magnetic Fields.- Influence of Magnetizability of Material on the Stress State of a Ferromagnetic Medium with Heterogeneities.- Optimal Control of Physical Fields in Piezoelectric Bodies with Defects.

From the reviews:

This monograph addresses mathematical methods in mechanics of coupled fields, studying in a unified way mechanical, thermal, electrical and magnetic effects, that are usually studied separately. It provides a theoretical background and tools for a systematic analysis of electromagnetic media, including various applications. & the monograph is definitely a valuable contribution and recommendable to specialists interested in the mechanics of coupled fields, which gained importance in recent technololÓà