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Advances in Mechanics and Mathematics

Mechanics of Material Forces

Editors: Steinmann, Paul, Maugin, Gérard A. (Eds.)

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About this book

In this single volume the reader will find all recent developments in one of the most promising and rapidly expanding branches of continuum mechanics, the mechanics of material forces. The book covers both theoretical and numerical developments. Conceptually speaking, common continuum mechanics in the sense of Newton—which gives rise to the notion of spatial (mechanical) forces—considers the response to variations of spatial placements of "physical particles” with respect to the ambient space, whereas continuum mechanics in the sense of Eshelby—which gives rise to the notion of material (configurational) forces—is concerned with the response to variations of material placements of "physical particles” with respect to the ambient material. Well-known examples of material forces are driving forces on defects like the Peach-Koehler forece, the J-Integral in fracture mechanics, and energy release. The consideration of material forces goes back to the works of Eshelby, who investigated forces on defects; therefore this area of continuum mechanics is sometimes denoted Eshelbian mechanics.

 

Audience

This book is suitable for civil and mechanical engineers, physicists and applied mathematicians.

Table of contents (33 chapters)

Table of contents (33 chapters)
  • On Establishing Balance and Conservation Laws in Elastodynamics

    Pages 1-11

    Herrmann, George (et al.)

  • From Mathematical Physics to Engineering Science

    Pages 13-22

    Maugin, Gérard A.

  • The Unifying Nature of the Configurational Force Balance

    Pages 25-32

    Fried, Eliot (et al.)

  • Generalized Stefan Models

    Pages 33-41

    Danescu, Alexandre

  • Explicit Kinetic Relation from “First Principles”

    Pages 43-50

    Truskinovsky, Lev (et al.)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-0-387-26261-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA in USD
  • ISBN 978-0-387-26260-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $149.00
price for USA in USD
  • ISBN 978-1-4419-3879-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Mechanics of Material Forces
Editors
  • Paul Steinmann
  • Gérard A. Maugin
Series Title
Advances in Mechanics and Mathematics
Series Volume
11
Copyright
2005
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-26261-1
DOI
10.1007/b137232
Hardcover ISBN
978-0-387-26260-4
Softcover ISBN
978-1-4419-3879-4
Series ISSN
1571-8689
Edition Number
1
Number of Pages
XVI, 338
Topics