Article Dans Une Revue Journal of Elasticity Année : 2011

Asymptotic analysis of shell-like inclusions with high rigidity

Résumé

We study the problem of an elastic shell-like inclusion with high rigidity in a three-dimensional domain by means of the asymptotic expansion method. The analysis is carried out in a general framework of curvilinear coordinates. After defining a small real adimensional parameter ε, we characterize the limit problems when the rigidity of the inclusion has order of magnitude 1/ε and 1/ε3 with respect to the rigidities of the surrounding bodies. Moreover, we prove the strong convergence of the solution of the initial three-dimensional problem towards the solution of the simplified limit problem.

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hal-00790346 , version 1 (27-02-2015)

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Anne-Laure Bessoud, Françoise Krasucki, Michèle Serpilli. Asymptotic analysis of shell-like inclusions with high rigidity. Journal of Elasticity, 2011, 103 (2), pp.153-172. ⟨10.1007/s10659-010-9278-1⟩. ⟨hal-00790346⟩
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