Overview
- Illustrates links between developments in nonsmooth analysis and nonsmooth mechanics
- Includes supplementary material: sn.pub/extras
Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 12)
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Table of contents (25 papers)
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Convex and Nonsmooth Analysis
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Nonsmooth Mechanics
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Fluid Mechanics
Keywords
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.
Editors and Affiliations
Bibliographic Information
Book Title: Nonsmooth Mechanics and Analysis
Book Subtitle: Theoretical and Numerical Advances
Editors: P. Alart, O. Maisonneuve, R. T. Rockafellar
Series Title: Advances in Mechanics and Mathematics
DOI: https://doi.org/10.1007/0-387-29195-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2006
Hardcover ISBN: 978-0-387-29196-3Published: 17 November 2005
Softcover ISBN: 978-1-4419-3976-0Published: 23 November 2010
eBook ISBN: 978-0-387-29195-6Published: 26 June 2006
Series ISSN: 1571-8689
Series E-ISSN: 1876-9896
Edition Number: 1
Number of Pages: XIV, 320
Topics: Mechanical Engineering, Analysis, Computational Mathematics and Numerical Analysis
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