Document detail
ID
oai:arXiv.org:2408.05143
Topic
Computer Science - Computational E...Author
Rodriguez, Sebastian Pasquale, Angelo Mounayer, Jad Canales, Diego Beringhier, Marianne Ghnatios, Chady Ammar, Amine Chinesta, FranciscoCategory
Computer Science
Year
2024
listing date
8/14/2024
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.
Rodriguez, Sebastian,Pasquale, Angelo,Mounayer, Jad,Canales, Diego,Beringhier, Marianne,Ghnatios, Chady,Ammar, Amine,Chinesta, Francisco, 2024, 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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