The Stress-strain Relations of Granular Materials : 2nd Report: The Expressions of Stresses for the Case with Intergrain Slip

抄録

A certain amount of slip occurs between the adjacent grains in the flowable zone of a dry granular system. In this case the distribution of forces around grains is considered to be modified from an ellipsoid similar to the stress ellipsoid. The expressions of stresses in this zone are derived from this idea, and the force distribution around grains is revealed. The domain in which slip occurs on the surface of the model sphere which represents a grain is made clear, and the approximated formulae for the relations between the stresses and the principal values of the forces around grains are derived. Furthermore it is found that the macroscopic internal friction coefficient of a granular system may differ from the friction coefficient between the surfaces of the adjacent grains in it.