Multiscale homogenization in Kirchhoff's nonlinear plate theory
Analysis of PDEs
2015-07-24 v1
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 and the two homogenization scales and .
Keywords
Cite
@article{arxiv.1507.06438,
title = {Multiscale homogenization in Kirchhoff's nonlinear plate theory},
author = {Laura Bufford and Elisa Davoli and Irene Fonseca},
journal= {arXiv preprint arXiv:1507.06438},
year = {2015}
}