Fetecau, R. C. and Marsden, Jerrold E. and West, M. (2003) Variational Multisymplectic Formulations of Nonsmooth Continuum Mechanics. In: Perspectives and problems in nonlinear science : a celebratory volume in honor of Lawrence Sirovich. Springer-Verlag , New York, pp. 229-262. ISBN 9780387003122 http://resolver.caltech.edu/CaltechAUTHORS:20100920-071530028
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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.
|Item Type:||Book Section|
|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.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||20 Sep 2010 18:16|
|Last Modified:||26 Dec 2012 12:26|
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