English

A texture tensor to quantify deformations

Soft Condensed Matter 2007-05-23 v1 Materials Science

Abstract

Under mechanical deformation, most materials exhibit both elastic and fluid (or plastic) responses. No existing formalism derived from microscopic principles encompasses both their fluid-like and solid-like aspects. We define the {\it statistical texture tensor} to quantify the intuitive notion of stored deformation. This tensor links microscopic and macroscopic descriptions of the material, and extends the definition of elastic strain.

Keywords

Cite

@article{arxiv.cond-mat/0301018,
  title  = {A texture tensor to quantify deformations},
  author = {Miguel Aubouy and Yi Jiang and James A. Glazier and François Graner},
  journal= {arXiv preprint arXiv:cond-mat/0301018},
  year   = {2007}
}

Comments

4 pages, 2 figures. to appear in Granular Matter