Nonlinear Theory of Electroelastic and Magnetoelastic Interactions

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.

This book will provide a range of topics and up-to-date notations on the subject whereas many monographs available in the marketplace do not; the main reference for magnetoelasticity was published in 1966 and no longer available Nonlinear mechanics of magneto- and electro-sensitive materials is at the frontier of solid mechanics and has a profound impact on material science Includes supplementary material: sn.pub/extras

Autorentext
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.

Klappentext

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.

Inhalt

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.