Derivation of a homogenized von-Kármán plate theory from \(3d\) nonlinear elasticity (Q2868748)
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scientific article; zbMATH DE number 6239433
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derivation of a homogenized von-Kármán plate theory from \(3d\) nonlinear elasticity |
scientific article; zbMATH DE number 6239433 |
Statements
19 December 2013
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dimension reduction
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two-scale convergence
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spatially periodic material
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\(\Gamma\)-convergence
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0.9632411
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0.94063085
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0.9295826
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0.9233582
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0.91733456
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0.9170934
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0.9023611
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Derivation of a homogenized von-Kármán plate theory from \(3d\) nonlinear elasticity (English)
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The authors treat bot the homogenization and the dimension reduction limits applied to a three-dimensional elastic object with spatially periodic material properties. They rigorously derive a homogenized von Karman plate theory by means of \(\Gamma\)-convergence like arguments in a suitably-scaled choice of a nonlinearly elastic energy functional, pointing out as well the dependence of the effective coefficients on the ratio of the two small parameters.
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