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arXiv · 1210.5461

Derivation of a homogenized nonlinear plate theory from 3d elasticity

Peter Hornung·Stefan Neukamm·Igor Velcic
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Abstract

We derive, via simultaneous homogenization and dimension reduction, the Gamma-limit for thin elastic plates whose energy density oscillates on a scale that is either comparable to, or much smaller than, the film thickness. We consider the energy scaling that corresponds to Kirchhoff's nonlinear bending theory of plates.

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Peter Hornung, Stefan Neukamm, Igor Velcic. 2012-10-22. Derivation of a homogenized nonlinear plate theory from 3d elasticity. https://arxiv.org/abs/1210.5461

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