plane stress theory, ideal plasticity, thin-walled elliptic shell, deep drawing, elliptic workpiece flange, slip lines, stresses, plastic flow velocities, dissipative function.

Numerical solution of the workpiece elliptic flange plastic flow during thin-walled elliptic shell deep drawing is presented. Plane stress theory of the ideal plastic flow with Mises yield criterion, developed by V.V. Sokolovskii, is used. The slip lines, stresses and plastic flow velocities on the hodograph plane with non-negative dissipative function control are calculated.

Normal and shear stresses on the elliptic matrix contour are calculated, compared with zero shear stresses in the case of axisymmetrical deep drawing of the cylinder shell. The limit forms of the matrix and workpiece for the elliptic shell deep drawing are constrained by maximal tension stresses on the matrix counter, and flange regions generation with negative dissipative function where plastic flow with Mises yield criterion is impossible.

Nepershin Rostislav Ivanovich, e-mail: nepershin_ri@rambler.ru, Dr. Sci. Eng., Professor, Moscow State Technological University STANKIN, Moscow, Russia.