Discrete and Continuous Dynamical Systems - Series B (DCDS-B)

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

Pages: 109 - 130, Volume 11, Issue 1, January 2009      doi:10.3934/dcdsb.2009.11.109

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Matteo Focardi - Dipartimento di Matematica "U. Dini", Università di Firenze, viale Morgagni 67/A, I-50139 Firenze, Italy (email)
Paolo Maria Mariano - DICeA, Università di Firenze, via Santa Marta 3, I-50139 Firenze, Italy (email)

Abstract: 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:  Complex bodies, dynamical systems, asynchronous variational integrators, convergence
Mathematics Subject Classification:  Primary: 37M15, 74A30, 74A99

Received: December 2007;      Revised: March 2008;      Available Online: November 2008.