Proper Generalized Decomposition (PGD) for numerical calculation of polycrystalline aggregates under cyclic loading

This study aims at the developing of a numerical method for the resolution of the finite element for nonlinear viscoplastic problems. For this, two ideas are used. The first is to maintain a constant stiffness matrix [4] to do only one factorization. The second con-cerns the use of a model reduction method to decouple the dimensions of space and time. This method, which is based on radial approximation , hasshown its effectiveness in solving problems with a large number of degrees of freedo