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On the asymptotic behavior of transmission thin shell problems

Abstract : In this paper we study the asymptotic behavior of two-dimensional transmission problems for the linear Koiter model of an elastic multi-structure composed of two thin shells with the same thickness ε<<1. Contrary to the case of membrane shells, the formal limit problem, i.e., for ε=0, fails to give a convenient approximate solution, as the limit problem is ill posed. An appropriate dilation leads to an equivalent problem, for which we prove its strong convergence towards some finite limit.
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Submitted on : Tuesday, March 9, 2021 - 1:35:11 PM
Last modification on : Saturday, October 9, 2021 - 3:15:38 AM

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Ismail Merabet, Serge Nicaise, D.A. Chacha. On the asymptotic behavior of transmission thin shell problems. Asymptotic Analysis, IOS Press, 2013, 82 (1-2), p. 163-185. ⟨10.3233/ASY-121144⟩. ⟨hal-03163628⟩

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