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Title
Japanese:部分的降伏およびひずみ硬化を考慮した一般化塑性ヒンジモデル 
English: 
Author
Japanese: 元結 正次郎, 金子 健作.  
English: SHOJIRO MOTOYUI, 金子 健作.  
Language Japanese 
Journal/Book name
Japanese:日本建築学会構造系論文集 
English: 
Volume, Number, Page     No. 607    pp. 87-94
Published date Sept. 2006 
Publisher
Japanese:一般社団法人日本建築学会 
English: 
Conference name
Japanese: 
English: 
Conference site
Japanese: 
English: 
DOI https://doi.org/10.3130/aijs.71.87_5
Abstract This paper proposes the macroscopic model which enables us to evaluate partially-plastic states in a cross section of the Bernoulli-Euler beam. In this paper, the basic equations (the yield function, the plastic flow rule, and the hardening rule) in the form of resultant stresses are exactly derived from the assumed ones in the form of stresses. The Helmholtz free energy for the cross section in the form of resultant stress involves additional potential due to partially-plastic states besides the elastic stored energy and the hardening potential. The thermodynamic forces derived from this additional potential describe the post-yielding behavior from partially-plastic states to fully-plastic states. The constraint conditions (the yield function) and the plastic flow rule are also modified to characterize the evolution of plastic regions without the direct evaluation of microscopic behavior. Then, a numerical scheme to calculate resultant stress under cyclic loading is proposed. Finally, the proposed macroscopic model is applied to the beam element and some numerical examples are shown to examine the validity of the present method.

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