%0 Journal Article
%T Another approach to linearized elasticity and Korn's inequality
%+ Propagation des Ondes : Étude Mathématique et Simulation (POEMS)
%A Ciarlet, Patrick
%A Ciarlet, Philippe G.
%< avec comité de lecture
%@ 1631-073X
%J Comptes Rendus. Mathématique
%I Académie des sciences (Paris)
%V 339
%N 4
%P 307-312
%8 2004
%D 2004
%R 10.1016/j.crma.2004.06.021Journal articles
%X 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.
%G English
%L hal-00988265
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-00988265
%~ ENSTA
%~ CNRS
%~ INRIA
%~ INRIA-SACLAY
%~ INRIA_TEST
%~ TESTALAIN1
%~ UMA_ENSTA
%~ INRIA2