Anisotropy and lack of symmetry for a random aggregate of frictionless, elastic particles: theory and numerical simulations - Archive ouverte HAL Access content directly
Journal Articles Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Year : 2015

Anisotropy and lack of symmetry for a random aggregate of frictionless, elastic particles: theory and numerical simulations

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Abstract

We consider a random aggregate of identical, frictionless spheres whose contact is maintained by an applied pressure. The aggregate is then subjected to an axial compression at fixed pressure. We show that the incremental elastic response of the resulting transversely isotropic material is characterized by six rather than by five independent coefficients and that the stiffness tensor does not have the major symmetry. This is because we permit deviations from an affine deformation that are determined by local equilibrium, when anisotropy is present. Discrete element numerical simulations confirm these findings.

Dates and versions

hal-01223486 , version 1 (02-11-2015)

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L. La Ragione, L. Oger, G. Recchia, A. Sollazzo. Anisotropy and lack of symmetry for a random aggregate of frictionless, elastic particles: theory and numerical simulations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015, 471 (2183), pp.20150013. ⟨10.1098/rspa.2015.0013⟩. ⟨hal-01223486⟩
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