ENGLISH

Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances

By R. Tyrrell Rockafellar , Pierre Alart , Olivier Maisonneuve

Book information

Publisher
Springer
Year
2005
ISBN
0-387-29195-4, 0-387-29196-2, 978-0387-29196-3
Open Library ID
OL7445150M
Language
english
Format
PDF
Filesize
3 MB (3288387 bytes)
Series
Advances in Mechanics and Mathematics
Edition
1
Pages
320\317
Library
kolxoz
Time added
2010-02-18 13:16:04

Description

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.

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