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Journal Articles Mathematical Models and Methods in Applied Sciences Year : 2005

Another approach to linearized elasticity and a new proof of 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. Interestingly, it also provides a new proof of Korn's inequality.
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hal-00983006 , version 1 (24-04-2014)

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Patrick Ciarlet, Philippe G. Ciarlet. Another approach to linearized elasticity and a new proof of Korn's inequality. Mathematical Models and Methods in Applied Sciences, 2005, 15 (02), pp.259-271. ⟨10.1142/S0218202505000352⟩. ⟨hal-00983006⟩
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