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Springer Series in Solid and Structural Mechanics

Virtual Work and Shape Change in Solid Mechanics

Authors: Fremond, Michel

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  • Explains how the principle of virtual work represents a tool for analysis of the mechanical effects of the evolution of the shape of a system
  • Applies the principle of work to predict the motion of solids with large deformations
  • Includes examples of both usual and unusual shape changes
  • Derives equations for smooth and nonsmooth motions
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eBook 130,89 €
price for Spain (gross)
  • ISBN 978-3-319-40682-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 166,39 €
price for Spain (gross)
  • ISBN 978-3-319-40681-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 166,39 €
price for Spain (gross)
  • ISBN 978-3-319-82153-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book provides novel insights into two fundamental subjects in solid mechanics: virtual work and shape change. The author explains how the principle of virtual work represents a tool for analysis of the mechanical effects of the evolution of the shape of a system, how it can be applied to observations and experiments, and how it may be adapted to produce predictive theories of numerous phenomena. The book is divided into three parts. The first relates the principle of virtual work to what we observe with our eyes, the second demonstrates its flexibility on the basis of many examples, and the third applies the principle to predict the motion of solids with large deformations. Examples of both usual and unusual shape changes are presented, and equations of motion, some of which are entirely new, are derived for smooth and non-smooth motions associated with, for instance, systems of disks, systems of balls, classical and non-classical small deformation theories, systems involving volume and surface damage, systems with interactions at a distance (e.g., solids reinforced by fibers), systems involving porosity, collisions, and fracturing of solids.

Reviews

“This is a remarkable textbook on the mechanics of deformable solids pertaining to thermal intervention. … The present work stands out for its phenomenological access to the subject in conjunction with the pertaining mathematical tools, the inductive art of tackling and exposing the arguments and for the elaboration of single tasks of general interest as well as of engineering relevance. The reader will find the text inspiring … .” (Ioannis Doltsinis, Mathematical Reviews, March, 2019)​

Table of contents (35 chapters)

Table of contents (35 chapters)

Buy this book

eBook 130,89 €
price for Spain (gross)
  • ISBN 978-3-319-40682-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 166,39 €
price for Spain (gross)
  • ISBN 978-3-319-40681-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 166,39 €
price for Spain (gross)
  • ISBN 978-3-319-82153-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Virtual Work and Shape Change in Solid Mechanics
Authors
Series Title
Springer Series in Solid and Structural Mechanics
Series Volume
7
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-40682-4
DOI
10.1007/978-3-319-40682-4
Hardcover ISBN
978-3-319-40681-7
Softcover ISBN
978-3-319-82153-5
Series ISSN
2195-3511
Edition Number
1
Number of Pages
XVII, 371
Number of Illustrations
17 b/w illustrations
Topics