Elastoplastic waves in granular materials

For a description of the deformation of materials with different resistances to tension and compression, the conventional rheological diagram is supplemented by a new element – rigid contact. It is used to construct a model of an ideal granular material possessing elastic and plastic properties. The loose state of the material is described by the Mises–Schleicher strength conditions, and transition to the plastic state is described by the Mises yield condition. The model proposed is employed to study the propagation of longitudinal elastic and plastic compression shock waves. It is shown that one- or two-wave configurations of discontinuities occur depending on the rate of compression and the degree of the initial loosening of the material.