Nonsmooth Mechanics and Analysis
Theoretical and Numerical Advances
Editors: Alart, Pierre, Maisonneuve, Olivier, Rockafellar, R. Tyrrell (Eds.)
Free PreviewBuy this book
- 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.
- Table of contents (25 chapters)
-
-
Moreau’s Proximal Mappings and Convexity in Hamilton-Jacobi Theory
Pages 3-12
-
Three Optimization Problems in Mass Transportation Theory
Pages 13-23
-
Some Geometrical and Algebraic Properties of Various Types of Convex Hulls
Pages 25-34
-
A Note on the Legendre-Fenchel Transform of Convex Composite Functions
Pages 35-46
-
What Is to be a Mean?
Pages 47-57
-
Table of contents (25 chapters)
Recommended for you
Bibliographic Information
- Bibliographic Information
-
- Book Title
- Nonsmooth Mechanics and Analysis
- Book Subtitle
- Theoretical and Numerical Advances
- Editors
-
- Pierre Alart
- Olivier Maisonneuve
- R. Tyrrell Rockafellar
- Series Title
- Advances in Mechanics and Mathematics
- Series Volume
- 12
- Copyright
- 2006
- Publisher
- Springer US
- Copyright Holder
- Springer-Verlag US
- eBook ISBN
- 978-0-387-29195-6
- DOI
- 10.1007/0-387-29195-4
- Hardcover ISBN
- 978-0-387-29196-3
- Softcover ISBN
- 978-1-4419-3976-0
- Series ISSN
- 1571-8689
- Edition Number
- 1
- Number of Pages
- XIV, 320
- Topics
