ABSTRACT

Rowe proposed his stress-dilatancy theory by using the assembly of uniform rods. This theory gives a fixed direction of movement of particles throughout the strain hardening deformation. On the other hand, Murayama proposed his probabilistic theory of granular particles based on the plane of maximum mobilization, the direction of which changed with the stress ratio, and then, Matsuoka and Nakai extended his idea to their spatial mobilized plane. The former and the latter give two different directions of movement of granular particles, but this discrepancy has still been unresolved. In this paper, these two deformation mechanisms are unified by formulating Rowe’s stress-dilatancy equations on the plane of maximum mobilization,.