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

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January 2009, 11(1): 109-130. doi: 10.3934/dcdsb.2009.11.109

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

Matteo Focardi ^1, and Paolo Maria Mariano ^2,

1.	Dipartimento di Matematica "U. Dini", Università di Firenze, viale Morgagni 67/A, I-50139 Firenze, Italy
2.	DICeA, Università di Firenze, via Santa Marta 3, I-50139 Firenze, Italy

Received December 2007 Revised March 2008 Published November 2008

Abstract
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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.

Keywords: dynamical systems, asynchronous variational integrators, convergence, Complex bodies.

Mathematics Subject Classification: Primary: 37M15, 74A30, 74A99.

Citation: Matteo Focardi, Paolo Maria Mariano. Discrete dynamics of complex bodies with substructural dissipation: Variational integrators and convergence. Discrete & Continuous Dynamical Systems - B, 2009, 11 (1) : 109-130. doi: 10.3934/dcdsb.2009.11.109

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