理想塑性介质中平面应力 静止裂纹的尖端弹塑性场

本文详细分析了理想塑性介质中平面应力I型静止裂纹的尖端弹塑性场,结果表明:裂纹尖端应力场内可以不包含应力间断线,但含有弹性区,作为这个一般解的特殊情况,当弹性区被两侧的塑性区挤压消失而尖端场成为满塑性区时,便得到Hutchinson(1968)给出的解,此外,文中还给出了另一种均匀应力区位于裂纹前方的解,这是1]未曾得到的。

ELASTIC-PLASTIC FIELDS AT A CRACK TIP IN PERFECTLY PLASTIC MEDIUM

Based on the basic equations and continuity conditions, the configurations of the near-tip fields for a plane stress tensile crack in a perfectly plastic material have been studied in details in this paper. It is shown that the general solution of the near-tip fields contains, an elastic region, and the stresses are continuous. Specially, it is reduced to the solution which, is given by Hutchinson (1968) as the elastic region degenerates into an elastic kernel.