Computer simulation of the rigid-plastic cylinder non-steady axial plastic compression by the dies with smooth curvilinear boundaries is presented using hyperbolic differential equations of the axial symmetry plastic flow the stress and velocity fields. Final stage of cylinder plastic deformation by upper and lower dies with smooth concave-convex boundary and continuous velocity field is considered.

Filling of the die cavity on concave boundary is simulated by the plastic shear of cylinder rib, followed by cylinder plastic compression without slip on concave contact boundary and generation of rigid and plastic regions with tangent velocity discontinues and singularities at the angular points on the die boundary. With approach to the final deformation stage the rigid regions are decreased with plastic slip on convex and concave die boundaries with continuous stress and velocity fields. The computer simulation can be used for the limit loads estimation in the case of cylinder plastic axial compression by the dies with curvilinear smooth boundary, and forging of the parts with curved profiles on technological pressure equipment.

Rostislav             I.           Nepershin,         Doctor       of        Technical        Sciences,       Professor;                  e-mail: nepershin_ri@rambler.ru; AuthorID: 109974