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

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 character...

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Bibliographic Details
Published in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2015-11, Vol.471 (2183), p.20150013
Main Authors: La Ragione, L., Oger, L., Recchia, G., Sollazzo, A.
Format: Article
Language:English
Subjects:
Condensed Matter
Disordered Systems and Neural Networks
Distinct Element Method
Mechanics
Micromechanics
Physics
Solid mechanics
Transverse Isotropy
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Summary: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.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2015.0013