Rodriguez, Sebastian , Pasquale, Angelo , Mounayer, Jad , CANALES AGUILERA, DIEGO, Beringhier, Marianne , Ghnatios, Chady , Ammar, Amine , Chinesta, Francisco
No
Adv. Model. Simul. Eng. Sci.
Article
Científica
09/05/2025
001485442000001
2-s2.0-105004708452
The simulation of viscoelastic time-evolution problems described by a large number of internal variables and with a large spectrum of relaxation times requires high computational resources for their resolution. Furthermore, the internal variables evolution is described by a set of linear differential equations which involves many time scales. In this context, the use of a space-time PGD approximation is proposed here to boost their resolution, where the temporal functions are constructed following a multi-scale strategy along with the partition of unity method, in order to catch each dynamic efficiently. The feasibility and the robustness of the method are discussed in the case of a polymer in a non-equilibrium state under cyclic loading.
Model-order reduction; Proper generalized decomposition; Temporal multi-scale PGD; Partition of unity; Viscoelasticity