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arXiv · cond-mat/0301018

A texture tensor to quantify deformations

Miguel Aubouy·Yi Jiang·James A. Glazier·François Graner
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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.

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Miguel Aubouy, Yi Jiang, James A. Glazier, François Graner. 2003-01-02. A texture tensor to quantify deformations. https://arxiv.org/abs/cond-mat/0301018

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