An analysis of the two dimensional elasto-plastic problem using the quadratic programming (The case of adopting the prandtl-reuss equation and the von mises yield function)

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  • 二次計画法を用いた平面弾塑性問題の一解析　　プラントル・ロイスの式およびミーゼスの降伏関数を採用した場合
  • 2ジ ケイカクホウ オ モチイタ ヘイメン ダンソセイ モンダイ ノ イチカイ

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Prof. 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 to be considered by the aid of quadratic programming concepts in the theory of plasticity. Present authors applied this method for solving the elasto-plastic plane stress problem as the quadratic optimization in terms of displacement rates and plastic multiplier rates. The matrices are formulated in explicit forms and the program is coded using the quadratic programming technique for the problem of perforated tension strip. Finally a comparison is made between results obtained through the present method and the ordinary matrix method, and it is shown that the elasto-plastic problem is fairly tractable through the present method.

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