CURVILINEAR INTEGRAL OF THE VELOCITY FIELD OF DRAWING AND EXTRUSION THROUGH ELLIPTIC DIE PROFILE
(1.Rolling Technology and Tandem Rolling Automation National Key Lab; Northeastern University; Shenyang 110006;
2.Institut fur Angewandte Mathematik; Albert-Ludwigs-Universitat; BRD)
2.Institut fur Angewandte Mathematik; Albert-Ludwigs-Universitat; BRD)
Abstract: The kinematically admissiable velocity and strain rate fields were established to extrusion and drawing through the elliptic die profile. The curvilinear integral and the integral as a function of the upper limit were used respectively in obtaining the contact friction and plastic deformation powers. Furthermore, an upper bound analytical solution of deforming force was got for the plane strain drawing and extrusion through the elliptic die.
Key words: die with elliptic profile; curvilinear integral; analytical solution