Localization in an anisotropic planar aggregate of spheres

We present a micro-mechanical model that is able to predict localization in a sheared planar aggregate of spheres. We assume a non-linear contact law between interacting particles that deform differently from an affine deformation. Equilibrium determines this deviation. The aggregate is isotropicall...

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Bibliographic Details
Published inEPJ Web of Conferences Vol. 140; p. 10008
Main Authors Ragione, Luigi La, Prantil, Vincent C., Jenkins, James T.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Les Ulis EDP Sciences 01.01.2017
Subjects
Anisotropy
Coordination numbers
Deformation
Deletion
Localization
Shear strain
Stiffness
Variations
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Summary:We present a micro-mechanical model that is able to predict localization in a sheared planar aggregate of spheres. We assume a non-linear contact law between interacting particles that deform differently from an affine deformation. Equilibrium determines this deviation. The aggregate is isotropically compressed and then sheared so anisotropy develops because of contacts deletion and a non-linear contact law. Because of anisotropy and fluctuations in particles deformation, the resulting macroscopic stiffness tensor, which relates increments in the average stress with increments in the average strain, is characterized by a lack of major symmetry, Aijkl ≠ Aklij. At given shear strain and coordination number it is possible to detemine a plane over which discontinuity in strain occurs; this is identified as localization.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201714010008