Variational Multisymplectic
Formulations of Nonsmooth
Continuum Mechanics
Fetecau, R. C., J. E. Marsden, and M. West
To Larry Sirovich on the occasion of his 70th birthday
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.