Solid behavior of anisotropic rigid frictionless bead assemblies

Simple item page
dc.creatorPeyneau, Pierre-Emmanuel
dc.creatorRoux, Jean-Noël
dc.date2008-07-16
dc.date2008-10-24
dc.date.accessioned2026-07-07T10:12:36Z
dc.date.available2026-07-07T10:12:36Z
dc.descriptionWe investigate the structure and mechanical behavior of assemblies of frictionless, nearly rigid equal-sized beads, in the quasistatic limit, by numerical simulation. Three different loading paths are explored: triaxial compression, triaxial extension and simple shear. Generalizing recent results [1], we show that the material, despite rather strong finite sample size effects, is able to sustain a finite deviator stress in the macroscopic limit, along all three paths, without dilatancy. The shape of the yield surface is adequately described by a Lade-Duncan (rather than Mohr-Coulomb) criterion. While scalar state variables keep the same values as in isotropic systems, fabric and force anisotropies are each characterized by one parameter and are in one-to-one correspondence with principal stress ratio along all three loading paths.The anisotropy of the pair correlation function extends to a distance between bead surfaces on the order of 10% of the diameter. The tensor of elastic moduli is shown to possess a nearly singular, uniaxial structure related to stress anisotropy. Possible stress-strain relations in monotonic loading paths are also discussed.
dc.identifierhttps://arxiv.org/abs/0807.2513
dc.identifierhttp://arxiv.org/abs/0807.2513
dc.identifierPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics 78, 4 (2008) 041307
dc.identifierdoi:10.1103/PhysRevE.78.041307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172233
dc.subjectMaterials Science
dc.subjectSoft Condensed Matter
dc.titleSolid behavior of anisotropic rigid frictionless bead assemblies
dc.typetext

Files

Collections

arXiv