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Mathematical methods in electro-magneto-elasticity
Authors: --- ---
ISBN: 9783540710301 3540710302 3642090087 9786610863761 1280863765 3540710310 Year: 2007 Publisher: Berlin : Springer,

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Abstract

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 separately. 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 approach 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 homogeneous compound piezoelectric plates weakened by cracks and openings. The boundary conditions, the constructive equations and the mathematical methods for their solution are thoroughly presented, so that the reader can get a clear quantitative and qualitative understanding 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.

Keywords

Continuum mechanics. --- Solid state physics. --- Thermal conductivity. --- Electromagnetic theory. --- Elasticity. --- Milieux continus, Mécanique des --- Physique de l'état solide --- Conductivité thermique --- Théorie électromagnétique --- Elasticité --- Continuum mechanics --- Solid state physics --- Thermal conductivity --- Electromagnetic theory --- Elasticity --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Applied Mathematics --- Materials Science --- Elastic properties --- Young's modulus --- Coefficient of conductivity --- Conductivity, Heat --- Conductivity, Thermal --- Heat conductivity --- Mechanics of continua --- Engineering. --- Magnetism. --- Magnetic materials. --- Applied mathematics. --- Engineering mathematics. --- Materials science. --- Appl.Mathematics/Computational Methods of Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Magnetism, Magnetic Materials. --- Materials Science, general. --- Engineering, general. --- Mechanics, Analytic --- Field theory (Physics) --- Material science --- Physical sciences --- Engineering --- Engineering analysis --- Mathematical analysis --- Materials --- Mathematical physics --- Physics --- Electricity --- Magnetics --- Construction --- Industrial arts --- Technology --- Mathematics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Heat --- Transport theory --- Solids --- Properties --- Conduction --- Measurement --- Mechanics. --- Mechanics, Applied. --- Materials. --- Mathematical and Computational Engineering. --- Solid Mechanics. --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Solids. --- Mathematical and Computational Engineering Applications. --- Materials Science. --- Technology and Engineering. --- Data processing. --- Transparent solids

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