Shaebani, Mohammad Reza; Boberski, Jens; Wolf, Dietrich:
Unilateral interactions in granular packings: a model for the anisotropy modulus
In: Granular matter, Jg. 14 (2012), Heft 2, S. 265 - 270
2012Artikel/Aufsatz in Zeitschrift
PhysikFakultät für Physik » Theoretische Physik
Titel:
Unilateral interactions in granular packings: a model for the anisotropy modulus
Autor(in):
Shaebani, Mohammad RezaLSF; Boberski, JensLSF; Wolf, DietrichLSF
Erscheinungsjahr
2012
WWW URL

Abstract:

Unilateral interparticle interactions have an effect on the elastic response of granular materials due to the opening and closing of contacts during quasi-static shear deformations. A simplified model is presented, for which constitutive relations can be derived. For biaxial deformations the elastic behavior in this model involves three independent elastic moduli: bulk, shear, and anisotropy modulus. The bulk and the shear modulus, when scaled by the contact density, are independent of the deformation. However, the magnitude of the anisotropy modulus is proportional to the ratio between shear and volumetric strain. Sufficiently far from the jamming transition, when corrections due to non-affine motion become weak, the theoretical predictions are qualitatively in agreement with simulation results.