Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances Hardcover - 2005 - 2006th Edition
by Pierre Alart (Editor); Olivier Maisonneuve (Editor); R. Tyrrell Rockafellar (Editor)
From the rear cover
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.
Details
- Title Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances
- Author Pierre Alart (Editor); Olivier Maisonneuve (Editor); R. Tyrrell Rockafellar (Editor)
- Binding Hardcover
- Edition number 2006th
- Edition 2006
- Pages 320
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2005-11-17
- Illustrated Yes
- Features Bibliography, Illustrated, Index
- ISBN 9780387291963 / 0387291962
- Weight 1.42 lbs (0.64 kg)
- Dimensions 9.21 x 6.14 x 0.75 in (23.39 x 15.60 x 1.91 cm)
- Library of Congress subjects Mechanics, Analytic, Nonsmooth optimization
- Library of Congress Catalog Number 2005932761
- Dewey Decimal Code 531
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