THE INTEGRAL OF THE INVERSE FUNCTION OF φ FOR AN ANALYTICAL SOLUTION TO THE COMPRESSION OF A THIN WORKPIECE
(1.Northeast University of Technology; Shenyang 110006; China;
2.Institute fur Angewandte Mathematik Albert-Ludwigs Universitat; Hemann-Henter Str 10 7800 Freihurg.1. Br. BRD; Germany)
2.Institute fur Angewandte Mathematik Albert-Ludwigs Universitat; Hemann-Henter Str 10 7800 Freihurg.1. Br. BRD; Germany)
Abstract: An analytical solution of the unit pressure on a thin workpiece under compression has been obtained by using the inverse function of φ to the integral integral from 0 to x φ dx. Its result is basically the same as the prevailing numerical formula integral from 0 to x φdx=∑√_1-Δx_1. However, the new integral is simpler and more convenient to use.
Key words: slip line field thin workpiece inverse function analytical solution