Mechanics & Industry
Volume 21, Number 6, 2020
|Number of page(s)||13|
|Published online||26 October 2020|
A mixed PGD-a priori time basis strategy for the simulation of cyclic transient thermal behavior
Structure Dynamics Materials Group, Lebanese International University LIU,
2 School of Engineering, International University of Beirut BIU, Beirut, Lebanon
3 Institut Pprime, Département Physique et mécanique des matériaux, UPR CNRS 3346, ISAE-ENSMA, 86360 Chasseneuil-du-Poitou, France
* e-mail: firstname.lastname@example.org
Accepted: 4 October 2020
The knowledge of the service life of polymers under cyclic loading, widely used in industrial applications, is required and usually based on the use of methods necessitating an accurate prediction of the stabilized cycle. This implies a large computation time using the Finite Element Method (FEM) since it requires a large number of cycles for polymers. To alleviate this difficulty, a model order reduction method can be used. In this paper, a mixed strategy is investigated. Through the Proper Generalized Decomposition Method (PGD) framework, this strategy combines the Fast Fourier Transform (FFT) to create a priori time basis and the FEM to compute the related spatial modes. The method is applied to 3D thermal problems under cyclic loadings. The robustness of the proposed strategy is discussed for various boundary conditions, multi-times, and different cyclic loadings. A large time saving is obtained proving the interest of this alternative strategy to deal with fatigue simulations.
Key words: Proper Generalized Decomposition / cyclic / heat problem / Model Order Reduction / Fast Fourier Transform / different time scales
© A. Al Takash et al., published by EDP Sciences 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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