Proper Generalized Decomposition (PGD) for the numerical simulation of polycrystalline aggregates under cyclic loading
| hal.structure.identifier | Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA] | |
| dc.contributor.author | NASRI, Mohamed Aziz | |
| hal.structure.identifier | Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA] | |
| dc.contributor.author | ROBERT, Camille | |
| hal.structure.identifier | Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA] | |
| dc.contributor.author | AMMAR, Amine | |
| hal.structure.identifier | Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA] | |
| dc.contributor.author | EL AREM, Saber | |
| hal.structure.identifier | Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA] | |
| dc.contributor.author | MOREL, Franck | |
| dc.date.accessioned | 2021-05-14T09:40:58Z | |
| dc.date.available | 2021-05-14T09:40:58Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 1631-0721 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/76617 | |
| dc.description.abstractEn | The numerical modelling of the behaviour of materials at the microstructural scale has been greatly developed over the last two decades. Unfortunately, conventional resolution methods cannot simulate polycrystalline aggregates beyond tens of loading cycles, and they do not remain quantitative due to the plasticity behaviour. This work presents the development of a numerical solver for the resolution of the Finite Element modelling of polycrystalline aggregates subjected to cyclic mechanical loading. The method is based on two concepts. The first one consists in maintaining a constant stiffness matrix. The second uses a time/space model reduction method. In order to analyse the applicability and the performance of the use of a space–time separated representation, the simulations are carried out on a three-dimensional polycrystalline aggregate under cyclic loading. Different numbers of elements per grain and two time increments per cycle are investigated. The results show a significant CPU time saving while maintaining good precision. Moreover, increasing the number of elements and the number of time increments per cycle, the model reduction method is faster than the standard solver. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier Masson | |
| dc.title.en | Proper Generalized Decomposition (PGD) for the numerical simulation of polycrystalline aggregates under cyclic loading | |
| dc.type | Article de revue | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph] | |
| bordeaux.journal | Comptes Rendus Mécanique | |
| bordeaux.page | 20 | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02285120 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02285120v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Comptes%20Rendus%20M%C3%A9canique&rft.date=2018&rft.spage=20&rft.epage=20&rft.eissn=1631-0721&rft.issn=1631-0721&rft.au=NASRI,%20Mohamed%20Aziz&ROBERT,%20Camille&AMMAR,%20Amine&EL%20AREM,%20Saber&MOREL,%20Franck&rft.genre=article |
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