Derivation of a homogenized nonlinear plate theory from 3d elasticity

Peter Hornung, Stefan Neukamm, and Igor Velčić

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Submission date: 08. Feb. 2013
Pages: 25
published in: Calculus of variations and partial differential equations, 51 (2014) 3/4, p. 677-699 
DOI number (of the published article): 10.1007/s00526-013-0691-8
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Abstract:
We derive, via simultaneous homogenization and dimension reduction, the Γ-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.