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Nonsmooth Mechanics and Analysis

Nonsmooth Mechanics and Analysis

Theoretical and Numerical Advances

by Pierre AlartR. Tyrrell Rockafellar and Olivier Maisonneuve
Paperback
Publication Date: 23/11/2010

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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.
ISBN:
9781441939760
9781441939760
Category:
Mechanical engineering
Format:
Paperback
Publication Date:
23-11-2010
Language:
English
Publisher:
Springer-Verlag New York Inc.
Country of origin:
United States
Pages:
320
Dimensions (mm):
235x155x17mm
Weight:
0.52kg

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