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Article Dans Une Revue International Journal for Numerical Methods in Engineering Année : 2016

Substructured formulations of nonlinear structure problems - influence of the interface condition

Résumé

We investigate the use of non-overlapping domain decomposition (DD) methods for nonlinear structure problems. The classic techniques would combine a global Newton solver with a linear DD solver for the tangent systems. We propose a framework where we can swap Newton and DD, so that we solve independent nonlinear problems for each substructure and linear condensed interface problems. The objective is to decrease the number of communications between subdomains and to improve parallelism. Depending on the interface condition, we derive several formulations which are not equivalent, contrarily to the linear case. Primal, dual and mixed variants are described and assessed on a simple plasticity problem.
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hal-01332214 , version 1 (15-06-2016)

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Paternité - Partage selon les Conditions Initiales

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Camille Negrello, Pierre Gosselet, Christian Rey, Julien Pebrel. Substructured formulations of nonlinear structure problems - influence of the interface condition. International Journal for Numerical Methods in Engineering, 2016, 107 (13), pp.1083-1105. ⟨10.1002/nme.5195⟩. ⟨hal-01332214⟩
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