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A texture tensor to quantify deformations

2003/01/02 by Miguel Aubouy, Aubouy, Miguel, Yi Jiang +5
Computer Science · Engineering · Physics and Astronomy · #Elasticity and Material Modeling #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Medical Image Segmentation Techniques #Soft Condensed Matter (cond-mat.soft) #cond-mat.mtrl-sci #cond-mat.soft

paper · pdf · doi:10.48550/arxiv.cond-mat/0301018

4 pages, 2 figures. to appear in Granular Matter

arxiv created 2003/01/02 · openalex publication_date 2003/01/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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