A reduced simulation applied to viscoelastic fatigue of polymers using a time multi-scale approach based on Partition of Unity method
<|reference_start|>A reduced simulation applied to viscoelastic fatigue of polymers using a time multi-scale approach based on Partition of Unity method: 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.<|reference_end|>
@article{rodriguez2024a,
    title={A reduced simulation applied to viscoelastic fatigue of polymers using a
  time multi-scale approach based on Partition of Unity method},
    author={Sebastian Rodriguez, Angelo Pasquale, Jad Mounayer, Diego Canales,
  Marianne Beringhier, Chady Ghnatios, Amine Ammar and Francisco Chinesta},
    journal={arXiv preprint arXiv:2408.05143},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.05143},
    primaryClass={cs.CE}
}