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© 2014

Nonlinear Theory of Electroelastic and Magnetoelastic Interactions

Book

Table of contents

  1. Front Matter
    Pages i-xi
  2. Luis Dorfmann, Ray W. Ogden
    Pages 1-8
  3. Luis Dorfmann, Ray W. Ogden
    Pages 9-46
  4. Luis Dorfmann, Ray W. Ogden
    Pages 47-90
  5. Luis Dorfmann, Ray W. Ogden
    Pages 91-112
  6. Luis Dorfmann, Ray W. Ogden
    Pages 113-136
  7. Luis Dorfmann, Ray W. Ogden
    Pages 137-155
  8. Luis Dorfmann, Ray W. Ogden
    Pages 157-179
  9. Luis Dorfmann, Ray W. Ogden
    Pages 199-229
  10. Luis Dorfmann, Ray W. Ogden
    Pages 231-259
  11. Luis Dorfmann, Ray W. Ogden
    Pages 261-297
  12. Back Matter
    Pages 299-313

About this book

Introduction

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.

Keywords

Electro-magnetomechanical interactions Electromagnetic Electrostatics Magnetoelastic Mechanical deformations

Authors and affiliations

  1. 1.Tufts UniversityMedfordUSA
  2. 2.University of GlasgowGlasgowUnited Kingdom

About the authors

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.

Bibliographic information

Reviews

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)