Grain size effects and weakest link theory in 3D crystal plasticity simulations of polycrystals
The weakest link theory, sometimes proposed to analyze size effects on the plastic behaviour of single crystals, is introduced in 3D numerical simulations of polycrystals. The approach relies on a random distribution of sources in space and strength associated to a crystal plasticity law with consta...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-03-01
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| Series: | Comptes Rendus. Physique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.53/ |
| _version_ | 1827785142070935552 |
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| author | Gélébart, Lionel |
| author_facet | Gélébart, Lionel |
| author_sort | Gélébart, Lionel |
| collection | DOAJ |
| description | The weakest link theory, sometimes proposed to analyze size effects on the plastic behaviour of single crystals, is introduced in 3D numerical simulations of polycrystals. The approach relies on a random distribution of sources in space and strength associated to a crystal plasticity law with constant per layer Critical Resolved Shear Stresses (CRSS). It is able to reproduce: (1) the grain size dependence of the yield stress given by the Hall–Petch law, (2) intense slip band localization patterns as often observed at the grains surface, especially pronounced in quenched or irradiated metals, but difficult to reproduce by numerical simulation. |
| first_indexed | 2024-03-11T16:14:51Z |
| format | Article |
| id | doaj.art-086bd6191521415db1e7d877c22fd6ca |
| institution | Directory Open Access Journal |
| issn | 1878-1535 |
| language | English |
| last_indexed | 2024-03-11T16:14:51Z |
| publishDate | 2021-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Physique |
| spelling | doaj.art-086bd6191521415db1e7d877c22fd6ca2023-10-24T14:21:59ZengAcadémie des sciencesComptes Rendus. Physique1878-15352021-03-0122S331333010.5802/crphys.5310.5802/crphys.53Grain size effects and weakest link theory in 3D crystal plasticity simulations of polycrystalsGélébart, Lionel0https://orcid.org/0000-0002-1387-1978Université Paris-Saclay, CEA, Service de Recherches Métallurgiques Appliquées, 91191, Gif-sur-Yvette, FranceThe weakest link theory, sometimes proposed to analyze size effects on the plastic behaviour of single crystals, is introduced in 3D numerical simulations of polycrystals. The approach relies on a random distribution of sources in space and strength associated to a crystal plasticity law with constant per layer Critical Resolved Shear Stresses (CRSS). It is able to reproduce: (1) the grain size dependence of the yield stress given by the Hall–Petch law, (2) intense slip band localization patterns as often observed at the grains surface, especially pronounced in quenched or irradiated metals, but difficult to reproduce by numerical simulation.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.53/WeibullWeakest linkCrystal plasticitySize effectHall–PetchPlastic strain localizationFFT |
| spellingShingle | Gélébart, Lionel Grain size effects and weakest link theory in 3D crystal plasticity simulations of polycrystals Comptes Rendus. Physique Weibull Weakest link Crystal plasticity Size effect Hall–Petch Plastic strain localization FFT |
| title | Grain size effects and weakest link theory in 3D crystal plasticity simulations of polycrystals |
| title_full | Grain size effects and weakest link theory in 3D crystal plasticity simulations of polycrystals |
| title_fullStr | Grain size effects and weakest link theory in 3D crystal plasticity simulations of polycrystals |
| title_full_unstemmed | Grain size effects and weakest link theory in 3D crystal plasticity simulations of polycrystals |
| title_short | Grain size effects and weakest link theory in 3D crystal plasticity simulations of polycrystals |
| title_sort | grain size effects and weakest link theory in 3d crystal plasticity simulations of polycrystals |
| topic | Weibull Weakest link Crystal plasticity Size effect Hall–Petch Plastic strain localization FFT |
| url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.53/ |
| work_keys_str_mv | AT gelebartlionel grainsizeeffectsandweakestlinktheoryin3dcrystalplasticitysimulationsofpolycrystals |