Analysis on the Elastic-Plastic Responses of Beams and Plates by Using the Interaction Curve

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  • 相互作用曲線の利用によるはりおよび板構造の弾塑性応答解析
  • ソウゴ サヨウ キョクセン ノ リヨウ ニ ヨル ハリ オヨビ イタ コウゾウ

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Abstract

In this paper, a new method for the elastic-plastic structural analysis of beams and plates is developed with use of the interaction curve between the membrane forces and the bending and twisting moments in construction of element stiffness matrices. This method is efficient and physically simple with comparison of the conventional methods, especially in the numerical analysis of the elastic-plastic response of beams and plates. The geometrical nonlinearity is also involved in this formulation. As finite elements, the conventional beam-elements are used for beam structures and modified BCIZ plate bending elements are used for plate structures. Several examples of beams and plates subjected to explosive loadings are demonstrated, and the results by this method are discussed compared with the results by conventional methods.

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