Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances

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Pierre Alart, Olivier Maisonneuve, R. Tyrrell Rockafellar
Springer Science & Business Media, Jun 26, 2006 - Technology & Engineering - 320 pages
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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.

 

Audience

This book is intended for researchers in mathematics and mechanics.

 

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Contents

G Buttazzo
21
4
35
Nonsmooth mechanics
48
7
71
Q S Nguyen
91
10
107
12
129
13
144
18
208
Cholet G Saussine P E Gautier and L M Cléon
233
21
247
22
261
23
278
24
289
25
305
Index
319

14
161
16
185

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