An Analysis of the Two-dimensional Elastic-plastic Stress Problem Using the Quadratic Programming : The case of Adopting Prandtl-Reuss Equation and the von Mises Yield Function

Abstract

G.Maier has investigated problems in which normality conditions with regard to plastic strain increments pertaining to the yield surface in stress space are not satisfied and work-softening effects are considered by the aid of quadratic programming concepts. Authors applied this method for solving the elastic-plastic plane stress problem as a quadratic optimization in terms of displacement rates and plastic multiplier rates. The matrices are formulated in explicit forms for the problem of a perforated strip under tension. A comparison is made between the results obtained by the present method and by the ordinary matrix method. It is shown that the elastic-plastic problem is fairly tractable to the present method.