Homogenization of Periodically Heterogeneous Thin Beams

Citation:

Georges GRISO,Bernadette MIARA.Homogenization of Periodically Heterogeneous Thin Beams[J].Chinese Annals of Mathematics B,2018,39(3):397~426
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Authors:

Georges GRISO; Bernadette MIARA
Abstract: Consider an elastic thin three-dimensional body made of a periodic distribution of elastic inclusions. When both the thickness of the beam and the size of the heterogeneities tend simultaneously to zero the authors obtain three different one-dimensional models of beam depending upon the limit of the ratio of these two small parameters.

Keywords:

Bernoulli-Navier model, Beam, Korn's inequalities, Dimensional reduction, Homogenization

Classification:

17B40, 17B50
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