Discrete dynamics of complex bodies with substructural dissipation: variational integrators and convergence

Details Discrete dynamics of complex bodies with substructural dissipation: variational integrators and convergence Discrete dynamics of complex bodies with substructural dissipation: variational integrators and convergence

2008-03-11

arxiv.org/abs/0803.1653v1

Physics

Mathematical Physics

23 pages, in print on Discrete and Continuous Dynamical Systems B

Scientific paper

For the linearized setting of the dynamics of complex bodies we construct
variational integrators and prove their convergence by making use of BV
estimates on the rate fields. We allow for peculiar substructural inertia and
internal dissipation, all accounted for by a d'Alembert-Lagrange-type
principle.

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