CUED Publications database

The role of plastic strain gradients in the crack growth resistance of metals

Martínez-Pañeda, E and Deshpande, VS and Niordson, CF and Fleck, NA (2019) The role of plastic strain gradients in the crack growth resistance of metals. Journal of the Mechanics and Physics of Solids (2019), 126. pp. 136-150. ISSN 0022-5096 (Unpublished)

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Abstract

Crack advance from short or long pre-cracks is predicted by the progressive failure of a cohesive zone in a strain gradient, elasto-plastic solid. The presence of strain gradients leads to the existence of an elastic zone at the tip of a stationary crack, for both the long crack and the short crack cases. This is in sharp contrast with previous asymptotic analyses of gradient solids, where elastic strains were neglected. The presence of an elastic singularity at the crack tip generates stresses which are sufficiently high to activate quasi-cleavage. For the long crack case, crack growth resistance curves are predicted for a wide range of ratios of cohesive zone strength to yield strength. Remarkably, this feature of an elastic singularity is preserved for short cracks, leading to a severe reduction in tensile ductility. In qualitative terms, these predictions resemble those of discrete dislocation calculations, including the concept of a dislocation-free zone at the crack tip.

Item Type: Article
Uncontrolled Keywords: cond-mat.mtrl-sci cond-mat.mtrl-sci
Subjects: UNSPECIFIED
Divisions: Div C > Materials Engineering
Div C > Applied Mechanics
Depositing User: Cron Job
Date Deposited: 20 Feb 2019 20:05
Last Modified: 17 Sep 2020 02:48
DOI: 10.1016/j.jmps.2019.02.011