Analysis of boundary layer effects due to usual boundary conditions or geometrical defects in elastic plates under bending: an improvement of the Love-Kirchhoff model - CNRS - Centre national de la recherche scientifique Access content directly
Journal Articles Journal of Elasticity Year : 2020

Analysis of boundary layer effects due to usual boundary conditions or geometrical defects in elastic plates under bending: an improvement of the Love-Kirchhoff model

Abstract

We propose a model of flexural elastic plates accounting for boundary layer effects due to the most usual boundary conditions or to geometrical defects, constructed via matched asymptotic expansions. In particular, considering a rectangular plate clamped at two opposite edges while the other two are free, we derive the effective boundary conditions or effective transmission conditions that the two first terms of the outer expansion must satisfy. The new boundary value problems thus obtained are studied and compared with the classical Love-Kirchhoff plate model. Two examples of application illustrate the results.
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Dates and versions

hal-03053520 , version 1 (11-12-2020)

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Andrés Alessandro León Baldelli, Jean-Jacques Marigo, Catherine Pideri. Analysis of boundary layer effects due to usual boundary conditions or geometrical defects in elastic plates under bending: an improvement of the Love-Kirchhoff model. Journal of Elasticity, In press, ⟨10.1007/s10659-020-09804-6⟩. ⟨hal-03053520⟩
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