Dislocation-kinetic approach to tensile stress-strain curve calculation for “flat” aluminum polycrystals

doi:10.26565/2222-5617-2018-29-01

Evgeniy Badiyan V.N. Karazin Kharkiv National University, Svoboda Sq. 4, Kharkiv, 61022 https://orcid.org/0000-0002-4623-7180
Alla Tonkopryad
Oleg Shekhovtsov V.N. Karazin Kharkiv National University, Svoboda Sq. 4, Kharkiv, 61022

DOI: https://doi.org/10.26565/2222-5617-2018-29-01

Keywords: strain-hardening, tensile stress-strain curve, kinetic equation for the dislocation density

Abstract

The dislocation-kinetic approach is used for the stress-strain curve calculation for "flat" pure polycrystals of metals with average grain sizes d in the range from 10 to 500 μm and a thickness D > 2d which were stressed in tension at a constant strain rate and moderate temperatures. The strain-hardening of "flat" pure aluminum polycrystals has been theoretically studied on the basis of the solution of the kinetic equation for the dislocation density. The effects of reduction in the conditional yield strength and strain-hardening coefficient and deviation from the Hall–Petch relation with decreasing specimen thickness have been found.

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