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Journal Articles Comptes Rendus. Mathématique Year : 2004

Another approach to linearized elasticity and Korn's inequality

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.

Dates and versions

hal-00988265 , version 1 (07-05-2014)

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