膜力を考えた円板の弾塑性曲げ : 第1報, 一様分布横荷重および周辺に作用する一様引張力を受ける周辺支持円板の片側弾塑性曲げ

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  • Elastic-Plastic Bending of Circular Plates with the Membrane Forces : 1st Report, One-Side Elastic-Plastic Bending of Simply Supported Circular Plates Subjected to the Uniform Lateral Loads and Uniform Radial Forces
  • マクリョク オ カンガエタ エンバン ノ ダン ソセイ マゲ 1

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The present authors intend to research axis-symmetric problems of elastic-plastic bending of plates in regard to non-hardening elastic-plastic material following Mises' yield condition and Hencky's stress-strain relation, taking into account the membrane forces and development of the plastic region in the meridian section of the plates, and using the Sokolovsky's representation in regard to the principal tensile strain er, eθ and the principal curvature αr, αθ. In the present paper, as an example of the problems, one-side elastic-plastic bending in which one surface of the plate is in plastic range while the other surface is still in elastic range is investigated for the circular plates which are simply supported at the periphery and subjected to uniform lateral loads and uniform radial forces. Distributions of bending moments and membrane forces, deflection of the middle plane, radial displacement and development of the plastic region are also calculated.

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