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Miguel Aubouy, Yi Jiang, James A. Glazier and Francois Graner, "A texture tensor to quantify deformations", Granular Matter, vol. 5, pp. 64-70, 2003

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 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.

BibTeX Entry

@article{aubouy-2003-a-texture,
author = {Miguel Aubouy and Yi Jiang and James A. Glazier and Francois Graner},
title = {A texture tensor to quantify deformations},
year = {2003},
urlpdf = {http://math.lanl.gov/~yi/Papers/GranularMatterThe.pdf},
journal = {Granular Matter},
volume = {5},
pages = {64-70}
}