Partic. vol. 6 no. 6 pp. 390-403 (December 2008)
doi: 10.1016/j.partic.2008.07.015

Micromechanical investigation of granular ratcheting using a discrete model of polygonal particles

Fernando Alonso-Marroquín^{a, *}, Hans B. Mühlhaus^b, Hans J. Herrmann^c

f.alonsomarroquin@uq.edu.au

Abstract

We use a two-dimensional model of polygonal particles to investigate granular ratcheting. Ratcheting is a long-term response of granular materials under cyclic loading, where the same amount of permanent deformation is accumulated after each cycle. We report on ratcheting for low frequencies and extremely small loading amplitudes. The evolution of the sub-network of sliding contacts allows us to understand the micromechanics of ratcheting. We show that the contact network evolves almost periodically under cyclic loading as the sub-network of the sliding contacts reaches different stages of anisotropy in each cycle. Sliding contacts lead to a monotonic accumulation of permanent deformation per cycle in each particle. The distribution of these deformations appears to be correlated in form of vortices inside the granular assembly.

Keywords

Granular systems; Dynamics and kinematics of rigid bodies; Molecular dynamics methods