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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...
In a continuum description of materials, the stress tensor field quantifies the internal forces the neighbouring regions exert on a region of the material. The classical theory of elastic solids assumes that determines the strain, while hydrodynamics assumes that determines the strain...
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