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A micromechanical model of cyclic deformation and fatigue-crack nucleation in f.c.c. single crystals

Repetto, E. A. and Ortiz, M. (1997) A micromechanical model of cyclic deformation and fatigue-crack nucleation in f.c.c. single crystals. Acta Materialia, 45 (6). pp. 2577-2595. ISSN 1359-6454. doi:10.1016/S1359-6454(96)00368-0. https://resolver.caltech.edu/CaltechAUTHORS:20171213-101558135

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Abstract

We have developed a micromechanical finite-element model of fatigue-crack initiation in nominally defect-free pure f.c.c. metals. The scale of observation envisioned is that of a single persistent slip band (PSB) intersecting the free surface of a single crystal. The nucleation event is identified with the formation of a sharp surface crack, whose subsequent growth obeys the laws of fracture mechanics. Basic building blocks of the theory are: a model of cyclic plasticity tailored to PSBs which accounts for the Bauschinger effect, PSB elongation due to pair annihilation, and vacancy generation; and a model of vacancy diffusion which accounts for pipe diffusion and the surface motion resulting from the outward flux of vacancies. Our numerical simulations show that this flux causes the surface to recede, which contributes to the formation of grooves at the PSB/matrix interface. Eventually, those grooves sharpen to form a mathematically sharp crack. The model thus provides a quantitative prediction of the number of cycles required for the nucleation of a fatigue crack.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/S1359-6454(96)00368-0DOIArticle
http://www.sciencedirect.com/science/article/pii/S1359645496003680PublisherArticle
ORCID:
AuthorORCID
Ortiz, M.0000-0001-5877-4824
Additional Information:© 1997 Elsevier. Received 19 July 1996. The support of the Office of Naval Research under grant N000014-96-l-0068 is gratefully acknowledged.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N000014-96-l-0068
Issue or Number:6
DOI:10.1016/S1359-6454(96)00368-0
Record Number:CaltechAUTHORS:20171213-101558135
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171213-101558135
Official Citation:E.A. Repetto, M. Ortiz, A micromechanical model of cyclic deformation and fatigue-crack nucleation in f.c.c. single crystals, In Acta Materialia, Volume 45, Issue 6, 1997, Pages 2577-2595, ISSN 1359-6454, https://doi.org/10.1016/S1359-6454(96)00368-0. (http://www.sciencedirect.com/science/article/pii/S1359645496003680)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83879
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:13 Dec 2017 19:40
Last Modified:15 Nov 2021 20:14

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