Cyclic plasticity of trusses

Abstract

In this paper, the Preisach model of hysteresis, which was already successfully implemented for solving problems of cyclic plasticity of axially loaded bar and cyclic bending of elastoplastic beam, is extended to the structural analysis of trusses subjected to cyclic loading. Although there are numerous well-known models of cyclic plasticity defined, in this paper, it is shown that for uniaxial stress state, hysteresis can be defined, based on the experimental data, in one particular rigorously mathematical form and implemented in finite element equations for trusses subjected to cyclic loading in the plastic domain. Using finite element method, equilibrium equations are obtained and algorithm for numerical solution is defined. Some advantages of this approach are underlined, compared with already existing procedures, such as the Bouc-Wen model implemented in SAP2000 program and generalized plasticity model shown on various numerical examples.