Nonlinear Theory of Electroelastic and Magnetoelastic Interactions

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 magne...

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Bibliographic Details
Main Authors: Dorfmann, Luis, Ogden, Ray W. (Author)
Format: eBook
Language:English
Published: New York, NY Springer US 2014, 2014
Edition:1st ed. 2014
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Nonlinear Theory of Electroelastic and Magnetoelastic Interactions  |h Elektronische Ressource  |c by Luis Dorfmann, Ray W. Ogden 
250 |a 1st ed. 2014 
260 |a New York, NY  |b Springer US  |c 2014, 2014 
300 |a XI, 313 p. 19 illus  |b online resource 
505 0 |a Introduction -- Electromagnetic Theory -- Nonlinear Elasticity Background -- Nonlinear Electroelastic Interactions -- Electroelastic Boundary-Value Problems -- Nonlinear Magnetoelastic Interactions -- Magnetoelastic Boundary-Value Problems -- Variational Formulations in Electroelasticity and Magnetoelasticity -- Incremental Equations -- Electroelastic Stability -- Magnetoelastic Wave Propagation -- Basic Vector and Tensor Operations -- Index 
653 |a Solid Mechanics 
653 |a Mechanics, Applied 
653 |a Theoretical and Applied Mechanics 
653 |a Electrical engineering 
653 |a Electrical Engineering 
653 |a Mechanics 
700 1 |a Ogden, Ray W.  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
856 4 0 |u https://doi.org/10.1007/978-1-4614-9596-3?nosfx=y  |x Verlag  |3 Volltext 
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520 |a 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