Variational Multisymplectic Formulations of Nonsmooth Continuum Mechanics

R. C. Fetecau, J. E. Marsden and M. West

Chapter 7 in Perspectives and Problems in Nolinear Science, 2003, pp 229-261 from Springer

Abstract: 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—pfluid interactions and material interfaces and, in addition, lays the groundwork for a treatment of shocks.

Keywords: Configuration Space; Jump Condition; Vortex Sheet; Singular Surface; Coordinate Expression (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-21789-5_7

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DOI: 10.1007/978-0-387-21789-5_7

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