SURFACE INTEGRAL OF THREE-DIMENSIONAL VELOCITY FIELD FOR SQUARE BAR DRAWING THROUGH CONICAL DIE
(1.Rolling Technology and Tandem Rolling Automation National Key Lab,Northeastern University, Shenyang110006
2.Institut für Angewandte Mathematik, Albert-Ludwigs-Universitat, BRD)
2.Institut für Angewandte Mathematik, Albert-Ludwigs-Universitat, BRD)
Abstract: The kinematically admissible three-dimensional continuous velocity field of square bar drawing through a conical die was established. Its divergence has been proved to be zero. Then, the integral as a function of the upper limit and surface integral were used respectively in deformation and friction powers, and an upper bound analytical solution of the square bar drawing stress was obtained by the upper-bound theorem.
Key words: square bar drawing three dimensional velocity field surface integral