一様分布荷重をうける周辺固定円板の弾塑性曲げ

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  • Elastic-Plastic Bending of a Built-in Circular Plate under Uniformly Distributed Loads
  • イチヨウ ブンプ カジュウ オ ウケル シュウヘン コテイ エンバン ノ ダン ソセイ マゲ

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The paper is concerned with the elastic-plastic bending of a uniformly loaded and built-in circular plate made of a nonhardening elastic-plastic material having Mises' yield condition and Hencky's stress-strain relation. In the present paper, ordinary foundamental equations of purely elastic range of the plate were replaced by using Sokolovsky's representation and a newly introduced parameter representing the appearance of plastic range. Our ordinary nonlinear simultaneous differential equations were numerically integrated by using electronic computer NEAC-2203. The results of the calculation were compared with already published results of limit-analysis. Physical propriety of the results was also justified by the method of Budiansky.

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