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Nonlocal effects of existing dislocations on crack-tip emission and cleavage

Published online by Cambridge University Press:  03 March 2011

Vijay Shastry
Affiliation:
Department of Materials Science and Engineering, The Ohio State University, 116 West 19th Avenue, Columbus, Ohio 43210-1179
Peter M. Anderson
Affiliation:
Department of Materials Science and Engineering, The Ohio State University, 116 West 19th Avenue, Columbus, Ohio 43210-1179
Robb Thomson
Affiliation:
Laboratory for Materials Science and Engineering, National Institute of Standards and Technology, Building 223, Room B309, Gaithersburg, Maryland 20899
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Abstract

This paper investigates the criterion for a ductile-to-brittle transition in materials, due to nonlocal shielding effects at the crack tip when the dislocation free zone (DFZ) size is small. It is found that both cleavage and emission criteria are altered by nonlocal shielding, but that the emission shift is dominant, and is always in the direction to increase the local critical stress intensity for emission, kIIe. The nonlocal shift varies with the sum, Σ(γusdj)−3/2, over each dislocation (j), where γus is the unstable stacking fault energy, and dj is the distance from each dislocation to the crack tip. When there is a pileup of many shielding dislocations against a barrier near the crack tip, the total shift for the pileup varies as (γusd)−1. The most likely candidates for a brittle transition induced by the nonlocal shift are materials where barriers to dislocation motion exist within 10–100 nanometers of the crack tip, such as in thin films, multilayers, or ultrafine grain materials.

Type
Articles
Copyright
Copyright © Materials Research Society 1994

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