Published 2003
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Variational Multisymplectic Formulations of Nonsmooth Continuum Mechanics
Abstract
This paper develops the foundations of the multisymplectic formulation of nonsmooth continuum mechanics. It may be regarded as a PDE generalization of previous techniques that developed a variational approach to collision problems. These methods have already proved of value in computational mechanics, particularly in the development of asynchronous integrators and efficient collision methods. The present formulation also includes solid-fluid interactions and material interfaces and, in addition, lays the groundwork for a treatment of shocks.
Additional Information
© 2003, Springer-Verlag. A Celebratory Volume in Honour of Larry Sirovich. We are grateful for helpful remarks from Michael Ortiz and Steve Shkoller. This work was partially supported by AFOSR contract F49620-02-1-0176.Attached Files
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Additional details
- Eprint ID
- 20028
- Resolver ID
- CaltechAUTHORS:20100920-071530028
- F49620-02-1-0176
- Air Force Office of Scientific Research
- Created
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2010-09-20Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field