应用科学学报 ›› 1989, Vol. 7 ›› Issue (4): 357-362.

• 论文 • 上一篇    下一篇

规范上限模式与可行的滑移线场

李双义   

  1. 天津大学
  • 收稿日期:1988-01-19 修回日期:1988-07-05 出版日期:1989-12-31 发布日期:1989-12-31

STUDY ON THE STANDARDIZED UPPER BOUNDMODES AND THE FEASIBLE SLIP LINE FIELD INPLANE STRAIN PROBLEMS

LI SHUANGYI   

  1. Tianjin University
  • Received:1988-01-19 Revised:1988-07-05 Online:1989-12-31 Published:1989-12-31

摘要: 对于求解塑性平面应变问题,本文提出有规范上限模式和规范上限解可寻;并列出压缩、平冲头压入、复合挤压及模锻的规范上限模式及上限解公式.采用规范上限解可使上限解公式通用化,迅速、简便地求出上限解,且高估量相当小.规范上限模式及可行的滑移线场在轮廓上具有相似性,借此可寻求符合精确解条件的滑移线场;对已有的滑移线场,可由规范上限模式判断其可行性.

Abstract: In this paper, it is proposed that the plane strain problems in plasticity can be solved with the standardized upper bound modes and the corresponding solutions. As an illustration of the above proposal, the standardized upper bound modes and the upper bound solutions for the compression of a strip between flat dies, indentation of a semi-infinite medium and a semi-infinite block of finite depth resting on a plane foundation by a flat die, die forging and compound extrusion are listed. It shows that the standardized upper bound solutions can make the upper bound solutions generalized, and easily and quickly obtained with a quite small over-estimate, and that the outline of the standardized upper bound modes is similar to that of the slip line field. The similarity of the two makes it possible to find the real slip line field of the corresponding problem and to identify the feasibility of presupposed slip line fields with the standardized upper bound mode.