Preface

Modern problems of science and technology stimulated the generation and development of the theory of conjugate fields of various physical characters. In recent years, with increasing intensity, a new area of this theory is developing—the theory of magnetoelasticity, which studies the interaction of mechanical and electromagnetic fields in deformable magnetoactive bodies. The issues of oscillations and wave propagation have own important role in the theory of magnetoelasticity. The results of theoretical and experimental studies of these issues allow deeper and more complete description of physical phenomena, to reveal new properties and patterns inherent to the investigating media and fields. Studies of oscillations and wave propagation processes in account of electromagnetic effects have acquired relevance in connection with the requirements of such fields of science and technology as mechanics of deformable solids, electrodynamics of continuous media, seismology, geophysics, defectoscopy, acoustics, engineering mechanics, optimal design, signal processing, design of mechanical resonators, filters, magnetomechanical energy converters, etc. The purpose of this book is to acquaint the reader with the methods of mathematical modeling and solution of nonstationary dynamic problems in the theory of magnetoelasticity, and also to give an idea of richness of physical effects caused by the interaction of electromagnetic and mechanical phenomena in both conducting nonferromagnetic and dielectric magnetically active deformable bodies. The studies are limited with the model of elastic body under the assumption of small deformations. The book consists of two sections. In the first section of the book (Chaps. 1–3), based on the main nonlinear equations and relations of mechanics and quasistatic electrodynamics of continuous media, the system of equations of magnetoelasticity, surface conditions, and determining equations describing perturbations behavior of nonferromagnetic conducting medium and interacting with an external magnetic fields is obtained using the linearization technique. On this basis, solving the certain problems of propagation of magnetoelastic waves, a number of qualitative and quantitative results, caused by the interaction of mechanical and magnetic phenomena in conducting nonferromagnetic deformable bodies, are revealed. Let us