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Fractional strain-gradient plasticity
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).ORCID iD: 0000-0002-9509-2811
2019 (English)In: European journal of mechanics. A, Solids, ISSN 0997-7538, E-ISSN 1873-7285, Vol. 75, p. 348-354Article in journal (Refereed) Published
Abstract [en]

We develop a strain-gradient plasticity theory based on fractional derivatives of plastic strain and assess its ability to reproduce the scaling laws and size effects uncovered by the recent experiments of Mu et al. (2014, 2016, 2017) on copper thin layers undergoing plastically constrained simple shear. We show that the size-scaling discrepancy between conventional strain-gradient plasticity and the experimental data is resolved if the inhomogeneity of the plastic strain distribution is quantified by means of fractional derivatives of plastic strain. In particular, the theory predicts that the size scaling exponent is equal to the fractional order of the plastic-strain derivatives, which establishes a direct connection between the size scaling of the yield stress and fractionality.

Place, publisher, year, edition, pages
Elsevier, 2019. Vol. 75, p. 348-354
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Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-246428DOI: 10.1016/j.euromechsol.2019.02.006ISI: 000471361100027Scopus ID: 2-s2.0-85062243267OAI: oai:DiVA.org:kth-246428DiVA, id: diva2:1299269
Note

QC 20190326

Available from: 2019-03-26 Created: 2019-03-26 Last updated: 2019-07-29Bibliographically approved

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Dahlberg, Carl F. O.

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