An exact conserving algorithm for nonlinear dynamics with rotational DOFs and general hyperelasticity. Part 2: shells

Autor(es)

Campello, E. M. B. ^[1] ; Pimenta, P. M. ^[1] ; Wriggers, P. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Polytech Sch, BR-05424970 Sao Paulo - Brazil

^[2] Leibniz Univ Hannover, Inst Continuum Mech, D-30167 Hannover - Germany

• Tipo de documento: Artigo Científico
• Fonte: COMPUTATIONAL MECHANICS; v. 48, n. 2, p. 195-211, AUG 2011.
• Citações Web of Science: 19

Resumo

Following the approach developed for rods in Part 1 of this paper (Pimenta et al. in Comput. Mech. 42:715-732, 2008), this work presents a fully conserving algorithm for the integration of the equations of motion in nonlinear shell dynamics. We begin with a re-parameterization of the rotation field in terms of the so-called Rodrigues rotation vector, allowing for an extremely simple update of the rotational variables within the scheme. The weak form is constructed via non-orthogonal projection, the time-collocation of which ensures exact conservation of momentum and total energy in the absence of external forces. Appealing is the fact that general hyperelastic materials (and not only materials with quadratic potentials) are permitted in a totally consistent way. Spatial discretization is performed using the finite element method and the robust performance of the scheme is demonstrated by means of numerical examples. (AU)

• Processo FAPESP: 05/52453-2 - Dinâmica não-linear de cascas: formulação teórica e implementação em elementos finitos
• Beneficiário: Eduardo de Morais Barreto Campello
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado