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

被引：0
作者：
Andrés León Baldelli
Jean-Jacques Marigo
Catherine Pideri
机构：
[1] IMSIA UMR CNRS 9219,LMS
[2] École Polytechnique,Institut de Mathématiques Appliquées
[3] Université de Toulon et du Var,undefined
来源：
Journal of Elasticity | 2021年 / 143卷
关键词：
Dimension reduction; Plate theory; Boundary layers; Matched asymptotic expansions; 35C20; 35J20; 74G10; 74Q15; 74B05; 74A40; 74K99;
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学科分类号：
摘要：
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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页码：31 / 84
页数：53
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