The Proper Generalized Decomposition as a space-time integrator for elastoplastic problems

This paper details the development of the Proper Generalized Decomposition as a space-time integrator of elastoplastic problems and shows its ability to determine the elastoplastic states resulting from cyclic loadings. The first part of this paper recalls the step-by-step resolution in time of an elastoplastic problem. The implementation of the Proper Generalized Decomposition is then developed in a second part. In the last third part, applications and numerical simulations are presented to show the relevance of the method.