Multiscale homogenization in Kirchhoff's nonlinear plate theory

preprint2015arXivOpen access

Abstract

The interplay between multiscale homogenization and dimension reduction for nonlinear elastic thin plates is analyzed in the case in which the scaling of the energy corresponds to Kirchhoff's nonlinear bending theory for plates. Different limit models are deduced depending on the relative ratio between the thickness parameter hh and the two homogenization scales $\ep$ and $\ep^2$.

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