Springer Mathematical Methods in Electro-Magneto-Elasticity: 32 (Lecture Notes in Applied and Computational Mechanics, 32)

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. Review 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 technological applications." (M. Cengiz Dökmeci, Zentalblatt MATH, Vol. 1147, 2008) From the Back Cover The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. It integrates the Mechanics of Continuous Media, Heat Conductivity and the theory of Electromagnetism that are usually studied seperately. For an accurate description of the influence of static and dynamic loadings, high temperatures and strong electromagneticfields in elastic media and constructive installations, a new aproach is required; an approach that has the potential to establish a synergism between the above-mentioned fields. Throughout the book a vast number of problems are considered: two-dimensional problems of electro-magneto-elasticity as well as static and dynamical problems for piecewise homogenous compound piezoelectric plates weakened by cracks and openings. The boundary conditions, the constuctive equations and the mathematical methods for their solution are thoroughly presented, so that the reader can get a clear quantative and qualitative understnding of the phenomena taking place. This book is for the specialists in Continuous Mechanics, Acoustics and Defectoscopy, and also for advanced undergraduate and graduate -level students in Applied Mathematics, Physics, Engineering Mechanics and Physical Sciences.