Antiplane strain of hardening elastoviscoplastic medium

Deforming of hardening elastoviscoplastic medium under the action of variable pressure gradient is considered in this paper. The displacement vector of material points has only vertical component. Mathematical model is based on the theory of large elastoplastic deformations. Differential transport equations of tensors of reversible and irreversible deformations are formulated. Irreversible deformations are split up into plastic and creep deformations. The solution is obtained with the use of analytical and numerical methods. The influence of hardening and viscosity parameters on medium deformation is analyzed.