扇形及一种四边形塑性区的上限解的极限解法——平面应变问题

Limiting Solutions for Fan and Quadrilateral Plastic Sections

本文采用将扇形及四边形塑性区分为三角形和四边形刚性块的有限方法,得到平底模平面正挤压及园冲头压入半无限体的上限解法的极限解,此结果与滑移线法所得结果相符合。

In this paper the upper bound solutions for forward extrusion through a smooth square face die and for indenting a semiinfinite medium with a circular punch are introduced.They have been obtained by using the method of limits,by which fan and quadrilateral plastic sections can be divied into infinite triangular and quadrilateral rigid blocks.The results of the solutions obtained are in agreement with that by the method of slip-line field.