Article Dans Une Revue Advanced Modeling and Simulation in Engineering Sciences Année : 2025

A Reduced Simulation Applied to Viscoelastic Fatigue of Polymers Using a Time Multi-Scale Approach

Résumé

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.

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hal-05579604 , version 1 (03-04-2026)

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Sebastian Rodriguez, Angelo Pasquale, Jad Mounayer, Diego Canales, M. Beringhier, et al.. A Reduced Simulation Applied to Viscoelastic Fatigue of Polymers Using a Time Multi-Scale Approach. Advanced Modeling and Simulation in Engineering Sciences, 2025, ⟨10.1186/s40323-025-00294-6⟩. ⟨hal-05579604⟩
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