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

Mohamed Aziz Nasri (1) , Camille Robert (1) , Saber El Arem (2) , Franck Morel (1) , Amine Ammar (2)

1 LAMPA - PMD - Laboratoire des Arts et Métiers ParisTech d'Angers - Procédés Matériaux Durabilité
2 LAMPA - Laboratoire Angevin de Mécanique, Procédés et InnovAtion

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 , has shown its effectiveness in solving problems with a large number of degrees of freedom

Domaines: Mécanique [physics.med-ph]

Mohamed Aziz Nasri, Camille Robert, Saber El Arem, Franck Morel, Amine Ammar. Proper Generalized Decomposition (PGD) for numerical calculation of polycrystalline aggregates under cyclic loading. Workshop on Reduced Basis, POD and PGD Model Reduction Techniques, Nov 2015, Cachan, France. ⟨hal-01311840⟩