Nonlinear Theory of Electroelastic and Magnetoelastic Interactions
(Sprache: Englisch)
This book presents a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. It features equations that solve boundary-value problems for nonlinear magnetoelasticity and electroelasticity.
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This book presents a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. It features equations that solve boundary-value problems for nonlinear magnetoelasticity and electroelasticity.
Klappentext zu „Nonlinear Theory of Electroelastic and Magnetoelastic Interactions “
This book provides a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classic 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 relevant theories of continuum mechanics, required to account for the deformability of material and present a constitutive framework for the nonlinear magneto-and electroelastic interactions in a highly deformable material. The equations contained in the book formulate and solve a variety of representative boundary-value problems for both nonlinear magnetoelasticity and electroelasticity.
Inhaltsverzeichnis zu „Nonlinear Theory of Electroelastic and Magnetoelastic Interactions “
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.
Autoren-Porträt von Luis Dorfmann, Ray W. Ogden
A. Luis Dorfmann and Raymond W. Ogden are giants in this field and in the field of Nonlinear Elasticity. Dr. Dorfmann is a faculty member at Tufts University and Dr. Ogden is a faculty member at the University of Glasgow.
Bibliographische Angaben
- Autoren: Luis Dorfmann , Ray W. Ogden
- 2014, XI, 313 Seiten, Maße: 16,3 x 24,2 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1461495954
- ISBN-13: 9781461495956
Sprache:
Englisch
Pressezitat
From the book reviews:"This is an excellent book devoted to a unified theory of nonlinear interactions of electroelastic and magnetoelastic fields. The presentation in this book is informative and useful for mathematicians interested in applications of the nonlinear PDE and boundary value problems." (Vladimir Mityushev, zbMATH, Vol. 1291, 2014)
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