軸力および曲げを受ける梁断面の部分的降伏を考慮した断面力の巨視的弾塑性評価手法

概要

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This paper describes a new macroscopic model which is possible to evaluate partially-plastic states in a cross section. Basic equations (yield function, plastic flow rule, and hardening rule) at resultant-stress level are deductively derived from assumed ones at stress level. The exact total Helmholtz free energy of the model involve quasi hardening potential due to partially-plastic states using macroscopic variables like a axial and bending strain. Thermodynamic forces derived from the quasi hardening potential represent forces like back stresses. The effect of stress-resultant on evolutions of plastic regions can be evaluated by using the force on a hardening rule in the space of resultant stresses. Constraint conditions (the yield function) and plastic flow rule are also modified to evaluate stress-resultant more accurately. Then, a numerical scheme to calculate stress-resultant under cyclic loading is proposed. And finally, the model is applied to a beam element and some numerical examples are shown to examine the validity of the proposed method.
一般社団法人日本建築学会の論文
2006-03-20