同心環状荷重を受ける周辺支持薄円板の弾塑性曲げ

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タイトル別名
  • Elastic-Plastic Bending of a Simply-Supported Circular Plate under Annular Load
  • ドウシン カンジョウ カジュウ オ ウケル シュウヘン シジハクエンバン ノ ダン ソセイ マゲ

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Elastic-plastic bending of a thin circular plate under lateral load by a rigid circular punch is a foundamental example of the various practical problems such as the incipient state of the drawing of a plate and the heavy loading of it. In particular, when a thin circular plate is bent by a punch, as the central part of the plate is not affected by the punch on accout of its deflection, the plate is subjected to a load along the periphery of the punch just like an annular load. In the present paper, elastic-plastic bending of a simply supported thin circular plate under an annular load is researched by an electronic computer for the material which follows Mises' yield condition and Hencky's stress-strain relation. The results of calculation are discussed for the development of plastic region and distributions of the bending-moment and deflection.

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