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Fractional strain-gradient plasticity

Dahlberg, C. F. O. and Ortiz, M. (2019) Fractional strain-gradient plasticity. European Journal of Mechanics - A/Solids, 75 . pp. 348-354. ISSN 0997-7538. doi:10.1016/j.euromechsol.2019.02.006.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription
Dahlberg, C. F. O.0000-0002-9509-2811
Ortiz, M.0000-0001-5877-4824
Additional Information:© 2019 Elsevier Masson SAS. Received 1 November 2018, Revised 8 January 2019, Accepted 7 February 2019, Available online 22 February 2019.
Funding AgencyGrant Number
VetenskapsrådetVetenskapsrådetVR E0566901
Deutsche Forschungsgemeinschaft (DFG)UNSPECIFIED
Record Number:CaltechAUTHORS:20190225-123840084
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Official Citation:C.F.O. Dahlberg, M. Ortiz, Fractional strain-gradient plasticity, European Journal of Mechanics - A/Solids, Volume 75, 2019, Pages 348-354, ISSN 0997-7538, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93227
Deposited By: Tony Diaz
Deposited On:25 Feb 2019 20:59
Last Modified:16 Nov 2021 16:56

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