An asymptotic strain gradient Reissner-Mindlin plate model

被引：0
|
作者：
Michele Serpilli
Françoise Krasucki
Giuseppe Geymonat
机构：
[1] Università Politecnica delle Marche,Department of Civil and Building Engineering, and Architecture
[2] Université Montpellier II,Institut de mathématique et de modélisation de Montpellier, UMR
[3] École Polytechnique,CNRS 5149
来源：
Meccanica | 2013年 / 48卷
关键词：
Asymptotic analysis; Strain gradient elasticity; Plate models; Micro-plates;
D O I：
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学科分类号：
摘要：
In this paper we derive a strain gradient plate model from the three-dimensional equations of strain gradient linearized elasticity. The deduction is based on the asymptotic analysis with respect of a small real parameter being the thickness of the elastic body we consider. The body is constituted by a second gradient isotropic linearly elastic material. The obtained model is recognized as a strain gradient Reissner-Mindlin plate model. We also provide a mathematical justification of the obtained plate model by means of a variational weak convergence result.
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页码：2007 / 2018
页数：11
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