Stress transmission and isostatic states of non-rigid particulate systems

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dc.creatorBlumenfeld, Raphael
dc.date2005-01-28
dc.date.accessioned2026-07-07T06:26:27Z
dc.date.available2026-07-07T06:26:27Z
dc.descriptionThe isostaticity theory for stress transmission in macroscopic planar particulate assemblies is extended here to non-rigid particles. It is shown that, provided that the mean coordination number in $d$ dimensions is $d+1$, macroscopic systems can be mapped onto equivalent assemblies of perectly rigid particles that support the same stress field. The error in the stress field that the compliance introduces for finite systems is shown to decay with size as a power law. This leads to the conclusion that the isostatic state is not limited to infinitely rigid particles both in two and in three dimensions, and paves the way to an application of isostaticity theory to more general systems.
dc.description6 pages, 3 figures included, to appear in "IMA Volume in Mathematics and its Applications"
dc.identifierhttps://arxiv.org/abs/cond-mat/0501700
dc.identifierhttp://arxiv.org/abs/cond-mat/0501700
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97109
dc.subjectSoft Condensed Matter
dc.subjectMaterials Science
dc.titleStress transmission and isostatic states of non-rigid particulate systems
dc.typetext

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