Another approach to linearized elasticity and Korn's inequality

Patrick Ciarlet 1 Philippe G. Ciarlet
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, ENSTA ParisTech UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We describe and analyze an approach to the pure traction problem of three-dimensional linearized elasticity, whose novelty consists in considering the linearized strain tensor as the 'primary' unknown, instead of the displacement itself as is customary. This approach leads to a well-posed minimization problem, constrained by a weak form of the St Venant compatibility conditions. It also provides a new proof of Korn's inequality.
Type de document :
Article dans une revue
Comptes Rendus Mathématique, Elsevier Masson, 2004, 339 (4), pp.307-312. <10.1016/j.crma.2004.06.021>
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Contributeur : Aurélien Arnoux <>
Soumis le : mercredi 7 mai 2014 - 16:56:01
Dernière modification le : jeudi 9 février 2017 - 15:28:12

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Patrick Ciarlet, Philippe G. Ciarlet. Another approach to linearized elasticity and Korn's inequality. Comptes Rendus Mathématique, Elsevier Masson, 2004, 339 (4), pp.307-312. <10.1016/j.crma.2004.06.021>. <hal-00988265>

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