Transactions of Nonferrous Metals Society of China The Chinese Journal of Nonferrous Metals

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中国有色金属学报(英文版)

Transactions of Nonferrous Metals Society of China

Vol. 3    No. 1    March 1993

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THE INTEGRAL OF THE INVERSE FUNCTION OF φ FOR AN ANALYTICAL SOLUTION TO THE COMPRESSION OF A THIN WORKPIECE
Zhao Dewen 1 ,Fang Youkang2

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

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

ISSN 1004-0609
CN 43-1238/TG
CODEN: ZYJXFK

ISSN 1003-6326
CN 43-1239/TG
CODEN: TNMCEW

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