On the isotropic moduli of 2D strain-gradient elasticity
Classical Physics
2015-06-17 v1
Abstract
In the present paper, the simplest model of strain-gradient elasticity will be considered, that is the isotropy in a bidimensional space. Paralleling the definition of the classic elastic moduli, our aim is to introduce second-order isotropic moduli having a mechanical interpretation. A general construction process of these moduli will be proposed. As a result it appears that many sets can be defined, each of them constituted of 4 moduli: 3 associated with 2 distinct mechanisms and the last one coupling these mechanisms. We hope that these moduli (and the construction process) will be useful for forthcoming investigations on strain-gradient elasticity.
Keywords
Cite
@article{arxiv.1310.2794,
title = {On the isotropic moduli of 2D strain-gradient elasticity},
author = {Nicolas Auffray},
journal= {arXiv preprint arXiv:1310.2794},
year = {2015}
}