Nonlinear Theory of Electroelastic and Magnetoelastic Interactions

Authors: Dorfmann, A. Luis, Ogden, Ray W.

  • 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
Show all benefits

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-1-4614-9596-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-1-4614-9595-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4899-7935-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

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.

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.

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)

Table of contents (11 chapters)

  • Introduction

    Dorfmann, Luis (et al.)

    Pages 1-8

  • Electromagnetic Theory

    Dorfmann, Luis (et al.)

    Pages 9-46

  • Nonlinear Elasticity Background

    Dorfmann, Luis (et al.)

    Pages 47-90

  • Nonlinear Electroelastic Interactions

    Dorfmann, Luis (et al.)

    Pages 91-112

  • Electroelastic Boundary-Value Problems

    Dorfmann, Luis (et al.)

    Pages 113-136

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-1-4614-9596-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-1-4614-9595-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4899-7935-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Theory of Electroelastic and Magnetoelastic Interactions
Authors
Copyright
2014
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-9596-3
DOI
10.1007/978-1-4614-9596-3
Hardcover ISBN
978-1-4614-9595-6
Softcover ISBN
978-1-4899-7935-3
Edition Number
1
Number of Pages
XI, 313
Number of Illustrations and Tables
19 b/w illustrations
Topics