| Title | A reduced simulation applied to viscoelastic fatigue of polymers using a time multi-scale approach based on partition of Unity method |
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| Authors | Rodriguez, Sebastian , Pasquale, Angelo , Mounayer, Jad , CANALES AGUILERA, DIEGO, Beringhier, Marianne , Ghnatios, Chady , Ammar, Amine , Chinesta, Francisco |
| External publication | No |
| Means | Adv. Model. Simul. Eng. Sci. |
| Scope | Article |
| Nature | Científica |
| SJR Quartile | 1 |
| Publication date | 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. |
| Keywords | Model-order reduction; Proper generalized decomposition; Temporal multi-scale PGD; Partition of unity; Viscoelasticity |
| Universidad Loyola members |