Título A reduced simulation applied to viscoelastic fatigue of polymers using a time multi-scale approach based on partition of Unity method
Autores Rodriguez, Sebastian , Pasquale, Angelo , Mounayer, Jad , CANALES AGUILERA, DIEGO, Beringhier, Marianne , Ghnatios, Chady , Ammar, Amine , Chinesta, Francisco
Publicación externa No
Medio Adv. Model. Simul. Eng. Sci.
Alcance Article
Naturaleza Científica
Cuartil SJR 1
Fecha de publicacion 09/05/2025
ISI 001485442000001
DOI 10.1186/s40323-025-00294-6
Abstract 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.
Palabras clave Model-order reduction; Proper generalized decomposition; Temporal multi-scale PGD; Partition of unity; Viscoelasticity
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