Macroscopic material properties from quasi-static, microscopic simulations of a two-dimensional shear-cell

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dc.creatorLätzel, Marc
dc.creatorLuding, Stefan
dc.creatorHerrmann, Hans J.
dc.date2000-03-10
dc.date.accessioned2026-07-07T02:37:02Z
dc.date.available2026-07-07T02:37:02Z
dc.descriptionOne of the essential questions in the area of granular matter is, how to obtain macroscopic tensorial quantities like stress and strain from ``microscopic'' quantities like the contact forces in a granular assembly. Different averaging strategies are introduced, tested, and used to obtain volume fractions, coordination numbers, and fabric properties. We derive anew the non-trivial relation for the stress tensor that allows a straightforward calculation of the mean stress from discrete element simulations and comment on the applicability. Furthermore, we derive the ``elastic'' (reversible) mean displacement gradient, based on a best-fit hypothesis. Finally, different combinations of the tensorial quantities are used to compute some material properties. The bulk modulus, i.e. the stiffness of the granulate, is a linear function of the trace of the fabric tensor which itself is proportional to the density and the coordination number. The fabric, the stress and the strain tensors are {\em not} co-linear so that a more refined analysis than a classical elasticity theory is required.
dc.description12 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0003180
dc.identifierhttp://arxiv.org/abs/cond-mat/0003180
dc.identifierGranular Matter vol.2 iss.3 2000
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16142
dc.subjectStatistical Mechanics
dc.subjectMaterials Science
dc.titleMacroscopic material properties from quasi-static, microscopic simulations of a two-dimensional shear-cell
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