A variational multiscale constitutive model for nanocrystalline materials

Handle URI:
http://hdl.handle.net/10754/561720
Title:
A variational multiscale constitutive model for nanocrystalline materials
Authors:
Gurses, Ercan; El Sayed, Tamer S.
Abstract:
This paper presents a variational multi-scale constitutive model in the finite deformation regime capable of capturing the mechanical behavior of nanocrystalline (nc) fcc metals. The nc-material is modeled as a two-phase material consisting of a grain interior phase and a grain boundary effected zone (GBAZ). A rate-independent isotropic porous plasticity model is employed to describe the GBAZ, whereas a crystal-plasticity model which accounts for the transition from partial dislocation to full dislocation mediated plasticity is employed for the grain interior. The constitutive models of both phases are formulated in a small strain framework and extended to finite deformation by use of logarithmic and exponential mappings. Assuming the rule of mixtures, the overall behavior of a given grain is obtained via volume averaging. The scale transition from a single grain to a polycrystal is achieved by Taylor-type homogenization where a log-normal grain size distribution is assumed. It is shown that the proposed model is able to capture the inverse HallPetch effect, i.e., loss of strength with grain size refinement. Finally, the predictive capability of the model is validated against experimental results on nanocrystalline copper and nickel. © 2010 Elsevier Ltd. All rights reserved.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Physical Sciences and Engineering (PSE) Division
Publisher:
Elsevier BV
Journal:
Journal of the Mechanics and Physics of Solids
Issue Date:
Mar-2011
DOI:
10.1016/j.jmps.2010.10.010
Type:
Article
ISSN:
00225096
Sponsors:
The authors are grateful to the very relevant suggestions made by the reviewers. The authors would like to thank the KAUST Research Computing team for their technical support. This work was fully funded by the KAUST baseline fund.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorGurses, Ercanen
dc.contributor.authorEl Sayed, Tamer S.en
dc.date.accessioned2015-08-03T09:03:05Zen
dc.date.available2015-08-03T09:03:05Zen
dc.date.issued2011-03en
dc.identifier.issn00225096en
dc.identifier.doi10.1016/j.jmps.2010.10.010en
dc.identifier.urihttp://hdl.handle.net/10754/561720en
dc.description.abstractThis paper presents a variational multi-scale constitutive model in the finite deformation regime capable of capturing the mechanical behavior of nanocrystalline (nc) fcc metals. The nc-material is modeled as a two-phase material consisting of a grain interior phase and a grain boundary effected zone (GBAZ). A rate-independent isotropic porous plasticity model is employed to describe the GBAZ, whereas a crystal-plasticity model which accounts for the transition from partial dislocation to full dislocation mediated plasticity is employed for the grain interior. The constitutive models of both phases are formulated in a small strain framework and extended to finite deformation by use of logarithmic and exponential mappings. Assuming the rule of mixtures, the overall behavior of a given grain is obtained via volume averaging. The scale transition from a single grain to a polycrystal is achieved by Taylor-type homogenization where a log-normal grain size distribution is assumed. It is shown that the proposed model is able to capture the inverse HallPetch effect, i.e., loss of strength with grain size refinement. Finally, the predictive capability of the model is validated against experimental results on nanocrystalline copper and nickel. © 2010 Elsevier Ltd. All rights reserved.en
dc.description.sponsorshipThe authors are grateful to the very relevant suggestions made by the reviewers. The authors would like to thank the KAUST Research Computing team for their technical support. This work was fully funded by the KAUST baseline fund.en
dc.publisherElsevier BVen
dc.subjectCrystal plasticityen
dc.subjectGrain sizeen
dc.subjectNanocrystalsen
dc.subjectVariational updatesen
dc.subjectVoidsen
dc.titleA variational multiscale constitutive model for nanocrystalline materialsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalJournal of the Mechanics and Physics of Solidsen
kaust.authorGurses, Ercanen
kaust.authorEl Sayed, Tamer S.en
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