[Modèle d'ordre hyper-réduit (HROM) global-local pour des problèmes thermiques non linéaires avec changements d'état irréversibles]
Les non-linéarités mobiles très concentrées sont extrêmement difficiles à résoudre numériquement. Le procédé de fabrication additive par fusion sélective au laser est un problème de ce genre. Un schéma global-local matériel est proposé, consistant à décrire le voisinage de la source de chaleur par un domaine local mobile alors que les fractions de phase matérielles sont représentées dans un domaine global. Les équations du problème thermique non linéaire sont définies sur le domaine local uniquement, en supposant que ce dernier est suffisamment grand pour capturer les variations les plus importantes du champ de température. De plus, un modèle d'ordre hyper-réduit (HROM) est proposé pour le problème du domaine local. La performance est étudiée en résolvant un problème SLM tiré de la littérature.
Highly concentrated moving nonlinearities are extremely difficult to solve numerically. The Selective Laser Melting Additive Manufacturing process is a problem of this kind. A material global-local scheme is proposed, which consists in describing the neighbourhood of the heat source by a moving local domain while the material phase fractions are represented in a global domain. The equations of the non-linear thermal problem are defined on the local domain only, assuming that the local domain is large enough to capture the most important variations of the temperature field. Additionally, a Hyper-Reduced-Order Model (HROM) is proposed for the local domain problem. The performance is studied by solving a SLM problem taken from the literature.
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Mot clés : Méthodes d'éléments finis, Modèle global-local matériel, Modèles réduits, Fusion sélective au laser
@article{CRMECA_2018__346_7_539_0,
author = {Alejandro Cosimo and Alberto Cardona and Sergio Idelsohn},
title = {Global-local {HROM} for non-linear thermal problems with irreversible changes of material states},
journal = {Comptes Rendus. M\'ecanique},
pages = {539--555},
publisher = {Elsevier},
volume = {346},
number = {7},
year = {2018},
doi = {10.1016/j.crme.2018.04.002},
language = {en},
}
TY - JOUR AU - Alejandro Cosimo AU - Alberto Cardona AU - Sergio Idelsohn TI - Global-local HROM for non-linear thermal problems with irreversible changes of material states JO - Comptes Rendus. Mécanique PY - 2018 SP - 539 EP - 555 VL - 346 IS - 7 PB - Elsevier DO - 10.1016/j.crme.2018.04.002 LA - en ID - CRMECA_2018__346_7_539_0 ER -
%0 Journal Article %A Alejandro Cosimo %A Alberto Cardona %A Sergio Idelsohn %T Global-local HROM for non-linear thermal problems with irreversible changes of material states %J Comptes Rendus. Mécanique %D 2018 %P 539-555 %V 346 %N 7 %I Elsevier %R 10.1016/j.crme.2018.04.002 %G en %F CRMECA_2018__346_7_539_0
Alejandro Cosimo; Alberto Cardona; Sergio Idelsohn. Global-local HROM for non-linear thermal problems with irreversible changes of material states. Comptes Rendus. Mécanique, Volume 346 (2018) no. 7, pp. 539-555. doi : 10.1016/j.crme.2018.04.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.04.002/
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