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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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https://hal-cnrs.archives-ouvertes.fr/hal-03053520
Contributor : Andrés Alessandro León Baldelli <>
Submitted on : Friday, December 11, 2020 - 9:33:09 AM
Last modification on : Friday, January 29, 2021 - 9:51:20 AM
Long-term archiving on: : Friday, March 12, 2021 - 6:56:30 PM

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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, Springer Verlag, In press, ⟨10.1007/s10659-020-09804-6⟩. ⟨hal-03053520⟩

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