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Size Scaling of Plastic Deformation in Simple Shear: Fractional Strain-Gradient Plasticity and Boundary Effects in Conventional Strain-Gradient Plasticity
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Vehicle Engineering and Solid Mechanics, Solid Mechanics.
CALTECH, Div Engn & Appl Sci, Pasadena, CA 91125 USA..
2020 (English)In: Journal of applied mechanics, ISSN 0021-8936, E-ISSN 1528-9036, Vol. 87, no 3, article id 031017Article in journal (Refereed) Published
Abstract [en]

A recently developed model based on fractional derivatives of plastic strain is compared with conventional strain-gradient plasticity (SGP) models. Specifically, the experimental data and observed model discrepancies in the study by Mu et al. (2016, "Dependence of Confined Plastic Flow of Polycrystalline Cu Thin Films on Microstructure," MRS Com. Res. Let. 20, pp. 1-6) are considered by solving the constrained simple shear problem. Solutions are presented both for a conventional SGP model and a model extension introducing an energetic interface. The interface allows us to relax the Dirichlet boundary condition usually assumed to prevail when solving this problem with the SGP model. We show that the particular form of a relaxed boundary condition does not change the underlying size scaling of the yield stress and consequently does not resolve the scaling issue. Furthermore, we show that the fractional strain-gradient plasticity model predicts a yield stress with a scaling exponent that is equal to the fractional order of differentiation.

Place, publisher, year, edition, pages
ASME , 2020. Vol. 87, no 3, article id 031017
Keywords [en]
constitutive modeling of materials, mechanical properties of materials, plasticity
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-272903DOI: 10.1115/1.4045872ISI: 000525406900020Scopus ID: 2-s2.0-85101878408OAI: oai:DiVA.org:kth-272903DiVA, id: diva2:1432088
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QC 20200526

Available from: 2020-05-26 Created: 2020-05-26 Last updated: 2024-03-15Bibliographically approved

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Dahlberg, Carl F. O.

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