Steady-state limit analysis of elastoplastic trusses under cyclic loads

For elastoplastic trusses under cyclic loads\ a method is presented for _nding the steady!state limitwhich bounds convergence and divergence of plastic deformations[ Using Taylor!series expansion\ a new incremental theory is formulated for tracing the sequence of steady states generated under an idealized cyclic loading program with continuously increasing amplitude[ The sequence is regarded as a continuous path[ The steady!state limit is found as the _rst limit point of the continuous path[ Geometrical and material nonlinearities are taken into account using the Total Lagrangian formulation and the bi!linear kinematic hardening rule[ Validity of the proposed method is shown through numerical examples