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Journal of Elasticity

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05-01-2021

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

Authors: Andrés León Baldelli, Jean-Jacques Marigo, Catherine Pideri

Published in: Journal of Elasticity | Issue 1/2021

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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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Title: 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
Authors: Andrés León Baldelli
Jean-Jacques Marigo
Catherine Pideri
Publication date: 05-01-2021
Publisher: Springer Netherlands
Published in: Journal of Elasticity / Issue 1/2021
Print ISSN: 0374-3535
Electronic ISSN: 1573-2681
DOI: https://doi.org/10.1007/s10659-020-09804-6

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