Crystal plasticity finite element modeling of grain size and morphology effects on yield strength and extreme value fatigue response

A computational framework is presented to include the effects of grain size and morphology in the crystal plasticity finite element (CPFE) method for simulations of polycrystals. The developed framework is used to investigate the effects of grain size and morphology on the yield strength and extreme...

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Main Authors: Aaditya Lakshmanan, Mohammadreza Yaghoobi, Krzysztof S. Stopka, Veera Sundararaghavan
Format: Article
Language:English
Published: Elsevier 2022-07-01
Series:Journal of Materials Research and Technology
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S223878542200936X
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author Aaditya Lakshmanan
Mohammadreza Yaghoobi
Krzysztof S. Stopka
Veera Sundararaghavan
author_facet Aaditya Lakshmanan
Mohammadreza Yaghoobi
Krzysztof S. Stopka
Veera Sundararaghavan
author_sort Aaditya Lakshmanan
collection DOAJ
description A computational framework is presented to include the effects of grain size and morphology in the crystal plasticity finite element (CPFE) method for simulations of polycrystals. The developed framework is used to investigate the effects of grain size and morphology on the yield strength and extreme value fatigue response using a new grain-level length scale. Each grain is approximated by a best-fit ellipsoid, whose information is used to modify the slip resistances based on a Hall-Petch type relation extended to each slip system. The grain-level length scale is computed for each slip system using a shape factor proposed in an earlier work based on discrete dislocation dynamics simulations. This is incorporated into a rate-dependent CPFE model with kinematic and isotropic hardening within the PRISMS-Plasticity open-source software. CPFE simulations are conducted on Al 7075-T6 microstructure models with different textures, grain sizes, and grain morphologies which relate qualitative trends in yield strength to a parameter constructed from the power-law flow rule. Incorporating grain morphology in the model reveals a notable influence on the computed extreme value fatigue response which may be critical in simulations of polycrystalline microstructure models with significant grain morphology anisotropy, for instance in components produced by large deformation rolling or additive manufacturing. The developed framework is available to the community as part of the open-source software PRISMS-Plasticity and PRISMS-Toolbox.
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spelling doaj.art-9ea646ff79a3409a93129ffe73d020152022-12-22T02:15:33ZengElsevierJournal of Materials Research and Technology2238-78542022-07-011933373354Crystal plasticity finite element modeling of grain size and morphology effects on yield strength and extreme value fatigue responseAaditya Lakshmanan0Mohammadreza Yaghoobi1Krzysztof S. Stopka2Veera Sundararaghavan3Department of Aerospace Engineering, University of Michigan, Ann Arbor MI 48109, USADepartment of Materials Science and Engineering, University of Michigan, Ann Arbor, MI 48105, USA; Corresponding author.George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USADepartment of Aerospace Engineering, University of Michigan, Ann Arbor MI 48109, USAA computational framework is presented to include the effects of grain size and morphology in the crystal plasticity finite element (CPFE) method for simulations of polycrystals. The developed framework is used to investigate the effects of grain size and morphology on the yield strength and extreme value fatigue response using a new grain-level length scale. Each grain is approximated by a best-fit ellipsoid, whose information is used to modify the slip resistances based on a Hall-Petch type relation extended to each slip system. The grain-level length scale is computed for each slip system using a shape factor proposed in an earlier work based on discrete dislocation dynamics simulations. This is incorporated into a rate-dependent CPFE model with kinematic and isotropic hardening within the PRISMS-Plasticity open-source software. CPFE simulations are conducted on Al 7075-T6 microstructure models with different textures, grain sizes, and grain morphologies which relate qualitative trends in yield strength to a parameter constructed from the power-law flow rule. Incorporating grain morphology in the model reveals a notable influence on the computed extreme value fatigue response which may be critical in simulations of polycrystalline microstructure models with significant grain morphology anisotropy, for instance in components produced by large deformation rolling or additive manufacturing. The developed framework is available to the community as part of the open-source software PRISMS-Plasticity and PRISMS-Toolbox.http://www.sciencedirect.com/science/article/pii/S223878542200936XGrain size EffectGrain morphologyCrystal plasticity finite elementFatigue responsePRISMS-PlasticityHall-Petch
spellingShingle Aaditya Lakshmanan
Mohammadreza Yaghoobi
Krzysztof S. Stopka
Veera Sundararaghavan
Crystal plasticity finite element modeling of grain size and morphology effects on yield strength and extreme value fatigue response
Journal of Materials Research and Technology
Grain size Effect
Grain morphology
Crystal plasticity finite element
Fatigue response
PRISMS-Plasticity
Hall-Petch
title Crystal plasticity finite element modeling of grain size and morphology effects on yield strength and extreme value fatigue response
title_full Crystal plasticity finite element modeling of grain size and morphology effects on yield strength and extreme value fatigue response
title_fullStr Crystal plasticity finite element modeling of grain size and morphology effects on yield strength and extreme value fatigue response
title_full_unstemmed Crystal plasticity finite element modeling of grain size and morphology effects on yield strength and extreme value fatigue response
title_short Crystal plasticity finite element modeling of grain size and morphology effects on yield strength and extreme value fatigue response
title_sort crystal plasticity finite element modeling of grain size and morphology effects on yield strength and extreme value fatigue response
topic Grain size Effect
Grain morphology
Crystal plasticity finite element
Fatigue response
PRISMS-Plasticity
Hall-Petch
url http://www.sciencedirect.com/science/article/pii/S223878542200936X
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