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Advances in Mechanics and Mathematics

Nonsmooth Mechanics and Analysis

Theoretical and Numerical Advances

Editors: Alart, Pierre, Maisonneuve, Olivier, Rockafellar, R. Tyrrell (Eds.)

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eBook $179.00
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  • ISBN 978-0-387-29195-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.99
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Softcover $229.99
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About this book

This book’s title, Nonsmooth Mechanics and Analysis, refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification.

Nonsmooth analysis was developed, especially in Montpellier, to provide specific theoretical and numerical tools to deal with nonsmoothness. It is important not only in mechanics but also in physics, robotics, and economics.

 

Audience

This book is intended for researchers in mathematics and mechanics.

Table of contents (25 chapters)

Table of contents (25 chapters)
  • Moreau’s Proximal Mappings and Convexity in Hamilton-Jacobi Theory

    Pages 3-12

    Rockafellar, R. Tyrrell

  • Three Optimization Problems in Mass Transportation Theory

    Pages 13-23

    Buttazzo, Giuseppe

  • Some Geometrical and Algebraic Properties of Various Types of Convex Hulls

    Pages 25-34

    Dacorogna, Bernard

  • A Note on the Legendre-Fenchel Transform of Convex Composite Functions

    Pages 35-46

    Hiriart-Urruty, Jean-Baptiste

  • What Is to be a Mean?

    Pages 47-57

    Valadier, Michel

Buy this book

eBook $179.00
price for USA in USD
  • ISBN 978-0-387-29195-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.99
price for USA in USD
Softcover $229.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Nonsmooth Mechanics and Analysis
Book Subtitle
Theoretical and Numerical Advances
Editors
  • Pierre Alart
  • Olivier Maisonneuve
  • R. Tyrrell Rockafellar
Series Title
Advances in Mechanics and Mathematics
Series Volume
12
Copyright
2006
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-29195-6
DOI
10.1007/0-387-29195-4
Hardcover ISBN
978-0-387-29196-3
Softcover ISBN
978-1-4419-3976-0
Series ISSN
1571-8689
Edition Number
1
Number of Pages
XIV, 320
Topics