This study investigates the theoretical aspects of the localization of
plastic buckling patterns, which results in the strength deterioratio
n of steel structures under cyclic loading. Because the localization p
henomena is caused by the plastic bifurcation from the decreasing equi
librium path in the post-peak range, we first presented a method based
on the finite-element method (FEM) to analyze the plastic bifurcation
. Then, using the proposed method, we analyzed a multiply supported co
lumn and simply supported rectangular compression plates subject to re
peated loading. As a result of numerical anlysis, it was confirmed the
oretically that the localization of buckling patterns has a large infl
uence on the strength deterioration under cyclic loading. Furthermore,
it was observed from the numerical results that the occurrence of loc
alization is accelerated by the accumulation of residual bending defor
mations as well as the Bauschinger effect of materials.