Inelastic mixed fiber beam finite element for steel cyclic behavior

• A cyclic hysteretic uniaxial steel model addressing overshooting is proposed.
• Model is incorporated into a two-field fiber beam-column finite element.
• Element maintains full memory and embodies all inelastic phases of the loading path.
• A linearization method is selected to solve numerically element equations.

In this work a new hysteretic uniaxial steel model is determined to describe steel cyclic behavior, which is further implemented to derive a fiber beam–column element on the basis of Hellinger–Reissner principle. The proposed model maintains full memory of the loading path and evolves following a single nonlinear differential equation expressing the entire hysteresis. The element is capable of addressing the overshooting problem of the existing models which occurs during short reversals. The state determination of the proposed element is investigated numerically following the linearization of the derived equations. Numerical results are presented that validate the proposed approach and demonstrate its computational efficiency.