Abstract

Problems of plastic flow which arise in practice, with complicated boundary conditions, are seldom amenable to exact analysis, and it becomes necessary to devise some numerical method of solution. This paper describes a rapid numerical procedure for the determination of the stress and velocity distributions in plane plastic flow where the plastic strains are large. The method is applied to the problem of the squeezing of a plastic material between rough plates. This example has been chosen as it illustrates the treatment of most types of boundary condition likely to be encountered and supplies for contrast several incomplete solutions attempted by previous authors. The solution shows the fallacy of the apparent static determinancy of the plane plastic problem, indicating the need to consider the velocity field in obtaining the true distribution of stress. A further advantage of this example is the possibility of checking the numerical procedure, which is found to be extremely accurate.

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