ABSTRACT
Matsuoka (1974) proposed a stress-dilatancy relationship of granular materials on the mobilized plane, which was expressed as τ/σ N= λ (−d ε N/d γ ) + µ. In this paper, the stress ratio τ / σ N and the strain increment ratio −d ε N/d γ are approximated to be tan x and tan θ, respectively, on the basis of the numerical simulation results of a simple shear test by DEM. Here, x and θ denote the average angle of the interparticle forces to the normal of the mobilized plane and the average interparticle contact angle on the mobilized plane, respectively. There is a difference δ between x and θ. It is found that the value of δ depends weakly on the interparticle friction angle ∅ µ except in the lower range of ∅ µ .The difference ô is interpreted to be a function of the average interparticle contact force fo, the rising gradient k of the straight line representing the frequency distribution of the average interparticle contact force and the average interparticle contact angles θ on the mobilized plane.
