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Strain gradient plasticity analysis of the influence of grain size and distribution on the yield strength in polycrystals
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).ORCID iD: 0000-0002-9509-2811
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
2014 (English)In: European journal of mechanics. A, Solids, ISSN 0997-7538, E-ISSN 1873-7285, Vol. 44, 1-16 p.Article in journal (Refereed) Published
Abstract [en]

Plane strain models of polycrystalline microstructures are investigated using strain gradient plasticity (SGP) and a grain boundary (GB) deformation mechanism. The microstructures are constructed using a non-linear constrained Voronoi tessellation so that they conform to a log-normal distribution in grain size. The SGP framework is used to model the grain size dependent strengthening and the GB deformation results in a cut-off of this trend below a certain critical grain size. Plastic strain field localization is discussed in relation to the non-local effects introduced by SGP and a material length scale. A modification of the Hall-Petch relation that accounts for, not only the mean grain size, but also the statistical size variation in a population of grains is proposed.

Place, publisher, year, edition, pages
2014. Vol. 44, 1-16 p.
Keyword [en]
Grain size distribution, Hall-Petch effect, Strain gradient plasticity
National Category
Applied Mechanics Metallurgy and Metallic Materials
URN: urn:nbn:se:kth:diva-136243DOI: 10.1016/j.euromechsol.2013.09.004ISI: 000331662100001ScopusID: 2-s2.0-84887373406OAI: diva2:675623
Swedish Research Council, 621-2005-5759

QC 20140331

Available from: 2013-12-04 Created: 2013-12-04 Last updated: 2014-03-31Bibliographically approved

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Dahlberg, Carl F. O.Faleskog, Jonas
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Solid Mechanics (Dept.)
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European journal of mechanics. A, Solids
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