AN EFFECTIVE CHARACTERISTIC METHOD FOR PLASTIC PLANE-STRESS PROBLEMS

Based on the maximum stress deviator yield criterion and the associate d flow rule, the quasi-linear differential equation systems of stress and velocity fields in the plane stress problem of an ideal rigid-plas tic body are established in this paper. Judgements on the types of the se differential equation systems are made by using the theory of chara cteristics. They may be elliptic or hyperbolic, depending on the consi dered stress state. In the hyperbolic case, equations of two families of characteristics and relations connecting the stress or velocity com ponents along characteristics are derived. Three examples are given to illustrate the application of the aforementioned method of characteri stics derived. As a conclusion, the effectiveness and advantages of th is method compared with those based on the von Mises and Tresca yield criteria are expounded in the last section of this paper.