A domain decomposition strategy for nonclassical frictional multi-contact problems

Mickaël Barboteu 1, 2 Pierre Alart 1, 2 Marina Vidrascu 3
2 M3 - Modélisation Mathématique en Mécanique
LMGC - Laboratoire de Mécanique et Génie Civil : UMR 5508
3 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : In this paper we present a numerical strategy to be solve large scale frictional contact problems by domain decomposition methods which are adapted to parallel computers. The motivation is given by the study of the mechanical behavior of rolling shutters composed by many hinged slats. The numerical treatment of such nonclassical contact problems leads to very large strongly nonlinear, nonsymmetric and ill-conditioned systems. Domain decomposition methods are a good alternative to overcome the difficulties of classical sequential solutions. We present a nonlinear strategy adapted to problems, called “multi-contact” problems.
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Mickaël Barboteu, Pierre Alart, Marina Vidrascu. A domain decomposition strategy for nonclassical frictional multi-contact problems. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2001, 190 (37-38), pp.4785-4803. ⟨10.1016/S0045-7825(00)00347-9⟩. ⟨hal-01393140⟩

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