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| Homogenization of Periodically Heterogeneous Thin Beams |
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Citation： |
Georges GRISO,Bernadette MIARA.Homogenization of Periodically Heterogeneous Thin Beams[J].Chinese Annals of Mathematics B,2018,39(3):397~426 |
| Page view： 2039
Net amount： 1099 |
Authors： |
Georges GRISO; Bernadette MIARA |
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| 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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