A local-effective relation in planar linear elasticity
Analysis of PDEs
2015-07-23 v2
Abstract
We give an example of a relation between local and effective properties for elastic structures, up to geometric constants. The model considered is a periodic structure with isotropic and homogeneous local elasticity tensor in planar linear elasticity. The corresponding physical model is a flat two dimensional body with holes as, for example, a perforated plate.
Cite
@article{arxiv.1206.6993,
title = {A local-effective relation in planar linear elasticity},
author = {Dag Lukkassen and Annette Meidell and Klas Pettersson},
journal= {arXiv preprint arXiv:1206.6993},
year = {2015}
}
Comments
12 pages, 2 figures