Anisotropic Elasticity in Sheared Packings of Frictional Disks

M. Reza Shaebani (), Jens Boberski and Dietrich E. Wolf
Additional contact information
M. Reza Shaebani: University of Duisburg-Essen, Department of Theoretical Physics
Jens Boberski: University of Duisburg-Essen, Department of Theoretical Physics
Dietrich E. Wolf: University of Duisburg-Essen, Department of Theoretical Physics

A chapter in Traffic and Granular Flow '11, 2013, pp 339-347 from Springer

Abstract: Abstract We study the effect of unilaterality of the interparticle interactions on the elastic response of granular materials. The anisotropy of the contact network is related to the opening of contacts during quasi-static shear deformations. As a result, local incremental constitutive relations describing the evolution of stress in terms of shear and volumetric strains are proposed, and it is shown that the macroscopic elastic behavior of anisotropic granular assemblies under biaxial deformations can be described by three independent elastic moduli: bulk, shear, and anisotropy modulus. We show that the bulk and shear moduli are independent of the imposed shear deformation if scaled by the contact density, and the magnitude of the anisotropy modulus is proportional to the ratio between shear and volumetric strain. The theoretical predictions are qualitatively in agreement with MD simulation results far from the jamming transition.

Keywords: Volumetric Strain; Contact Network; Stiffness Tensor; Contact Density; Contact Orientation (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-39669-4_33

Ordering information: This item can be ordered from
http://www.springer.com/9783642396694

DOI: 10.1007/978-3-642-39669-4_33

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().