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Intrinsic methods in Elasticity: A mathematical survey

Abstract : In the classical approach to elasticity problems, the components of the displacement field are the primary unknowns. In an “intrinsic” approach, new unknowns with more physical or geometrical meanings, such as a strain tensor field or a rotation field for instance, are instead taken as the primary unknowns. We survey here recent progress about the mathematical analysis of such methods applied to linear and nonlinear three-dimensional elasticity and shell problems.
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Contributor : Cristinel Mardare Connect in order to contact the contributor
Submitted on : Friday, October 24, 2014 - 4:22:52 PM
Last modification on : Thursday, December 10, 2020 - 10:52:57 AM

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Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare. Intrinsic methods in Elasticity: A mathematical survey. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2009, 23, pp.133-164. ⟨10.3934/dcds.2009.23.133⟩. ⟨hal-01077424⟩



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