Propagation of reversible deformation in a medium with accumulated irreversible strains

The paper studies the effect of previously accumulated plastic strains on the conditions of existence and propagation of the discontinuity surfaces of elastic strains arising from subsequent shock loading. It is shown that the anisotropy of properties of the medium due to the presence of previous irreversible strains influences the propagation of repeated boundary perturbations in an elastoplastic medium. Plane shock waves propagating in a one-dimensional, uniformly deformed medium are considered in detail. Solutions are given of the problem of instantaneous loading and unloading of an elastoplastic half-space with irreversible strains.