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This book provides a unified theory of nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classical theory of electromagnetism from the fundamental notions of point charges and magnetic dipoles through to distributions of charge and current in a non-deformable continuum, time-dependent electromagnetic fields and Maxwell’s equations. They summarize the basic ingredients of continuum mechanics that are required to account for the deformability of material and present nonlinear constitutive frameworks for electroelastic and magnetoelastic interactions in a highly deformable material. The equations contained in the book are used to formulate and solve a variety of representative boundary-value problems for both nonlinear electroelasticity and magnetoelasticity.

Computer engineering. --- Elasticity. --- Engineering. --- Magnetostriction. --- Materials. --- Mechanics, applied. --- Nonlinear theories. --- Piezoelectric materials. --- Piezoelectric materials --- Magnetostriction --- Elasticity --- Nonlinear theories --- Physics --- Electrical & Computer Engineering --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Electricity & Magnetism --- Electrical Engineering --- Nonlinear problems --- Nonlinearity (Mathematics) --- Elastic properties --- Young's modulus --- Magnetoelasticity --- Magnetostriction constant --- Magnetostriction saturations --- Negative magnetostriction --- Positive magnetostriction --- Materials, Piezoelectric --- Mechanics. --- Mechanics, Applied. --- Continuum mechanics. --- Electrical engineering. --- Electrical Engineering. --- Theoretical and Applied Mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Calculus --- Mathematical analysis --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Magnetism --- Properties --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Computers --- Design and construction --- Electric engineering --- Engineering

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This monograph investigates the stability and vibrations of conductive, perfectly conductive and superconductive thin bodies in electromagnetic fields. It introduces the main principles and obtains basic equations and relations describing interconnected mechanical and electromagnetic processes in deformable electroconductive bodies placed in an external inhomogeneous magnetic field and under the influence of various types of force interactions. Basic equations and relations are addressed in the nonlinear formulation. A special emphasis is put on the mechanical interaction of superconducting thin bodies plates with magnetic field.

Materials Science --- Applied Mathematics --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Magnetostriction. --- Elastic plates and shells. --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Magnetoelasticity --- Magnetostriction constant --- Magnetostriction saturations --- Negative magnetostriction --- Positive magnetostriction --- Elastic waves --- Elasticity --- Plasticity --- Magnetism --- Mechanics. --- Mechanics, Applied. --- Computer science --- Surfaces (Physics). --- Solid Mechanics. --- Classical Mechanics. --- Computational Mathematics and Numerical Analysis. --- Characterization and Evaluation of Materials. --- Mathematics. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Surface chemistry --- Surfaces (Technology) --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Mathematics --- Computer mathematics. --- Materials science. --- Material science --- Physical sciences