Fga. Albermani et al., BOUNDING-SURFACE PLASTICITY FOR NONLINEAR-ANALYSIS OF SPACE STRUCTURES, International journal for numerical methods in engineering, 38(5), 1995, pp. 797-808
This paper presents a method for the non-linear analysis of space stru
ctures subjected to static and cyclic loading. A bounding-surface kine
matic hardening plasticity model is used to simulate the hardening and
hysteritic material behaviour. The model is used in conjunction with
the lumped plasticity assumption coupled with the concept of a yield s
urface in force space. A hardening coefficient matrix which is a funct
ion of the plastic strain and the elastic stiffness matrix is introduc
ed while the vectorial nature of the material memory parameters is mai
ntained. This provides a smooth transition from the elastic to the pla
stic regime which simulates the hysteresis loops quite accurately. An
updated Lagrangian formulation is used together with a predictor/corre
ctor solution method. Several examples are presented to demonstrate th
e accuracy and efficiency of the method.