Abstract

This paper presents the development of a two-surface type plasticity model in force space (heretofore referred to as 2SM-FS) for steel members. With a simple extension of concepts used in two-surface type plasticity model in stress space (heretofore referred to as 2SM-SS), which can accurately account for cyclic inelastic behaviour of structural steels, in this paper, firstly 2SM-FS is developed to predict accurately the cyclic sectional behaviour of steel members. Secondly, by adopting 2SM-FS for material nonlinearity and introducing the modified approximate updated Lagrangian formulation for geometrical nonlinearity, an elasto-plastic in-plane beam-column element formulation is coded and implemented into the finite element program FEAP. Finally, the inelastic large displacement analyses are performed for the steel members and steel frames under cyclic loading. The capability of 2SM-FS and the performance of the beam-column element formulation are discussed and verified by comparing the results obtained from 2SM-FS with those of the experiments and 2SM-SS. It has been found that, by careful model calibration and using realistic material parameters, 2SM-FS could give reliable analytical results.

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