Abstract

We consider axially symmetric deformations of incompressible granular materials which deform according to the Coulomb-Mohr yield condition and the ‘double-shearing’ theory formulated by Mandel [1] and Spencer [2,3]. For the case in which the hoop stress α θ is strictly greater or strictly less than the other two principal stress components, the equations for the velocity field uncouple from those for the stress field, and are independent of the angle of internal friction. Accordingly, velocity solutions derived by Lippmann [7,8] for material which satisfies Tresca's yield condition are equally valid for this ideal granular material. The stress associated with these velocity solutions is also determined.

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