On the derivation of homogenized bending plate model

Igor Velcic

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arXiv · 1212.2594

On the derivation of homogenized bending plate model

Igor Velcic

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Abstract

We derive, via simultaneous homogenization and dimension reduction, the $Γ$-limit for thin elastic plates of thickness $h$ whose energy density oscillates on a scale $\eh$ such that $ \eh^2 \ll h\ll \eh$. We consider the energy scaling that corresponds to Kirchhoff's nonlinear bending theory of plates.

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Igor Velcic. 2014-10-08. On the derivation of homogenized bending plate model. https://arxiv.org/abs/1212.2594

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