Nonlinear elastoplastic analysis of spatial structures under dynamic loading using kinematic hardening models

Abstract

A method is presented for the elastoplastic nonlinear analysis of spatial structures under dynamic loading using an updated Lagrangian formulation and a radial return predictor/corrector solution strategy. A bounding-surface kinematic hardening plasticity model is employed to simulate the hardening and hysteretic material response. This model is used in conjunction with the lumped plasticity assumption coupled with the concept of a yield surface in force space. A hardening coefficient matrix, which is a function of the plastic strain and the elastic stiffness operator, is introduced while the vectorial nature of the material memory parameters is maintained. Several examples are presented to demonstrate the accuracy of the method.