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On the mechanics of surface and side-wall chipping from line-wedge indentation

Chai, Herzl and Ravichandran, Guruswami (2007) On the mechanics of surface and side-wall chipping from line-wedge indentation. International Journal of Fracture, 148 (3). pp. 221-231. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20170408-151238451

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Abstract

Chipping in glass plates from line-wedge contact loading is studied as function of the wedge’s subtended angle 2β, its inclination angle ϕ, and the distance h from a corner having a subtended angle 90° − θ A brittle-fracture analysis in conjunction with the FEM technique is used to elucidate the role of geometric variables on chip morphology and chipping load. Closed-form relations are developed for the latter by invoking the principle of geometric similarity and taking into consideration the details of contact forces transmitted to the crack mouth. The fracture progresses stably until surface effects alter the crack trajectory to form a chip. The latter conclusively occurs from the top surface if ϕ > β while from the side wall if ϕ < β. The fracture load for top-surface spalling scales with w^(1/2), where w is the indentation depth, and it monotonically declines with the offset angle ψ ≡ - ϕβ, that for side-wall chipping scales with h^(1/2) and it is little sensitive to ϕ for moderate values of θ In both the cases, the chipping load increases with β. The results may provide insight into the mechanics of chipping in more complex anthropological, tribological, geological and biomedical applications, including flint-knapping, dental fracture, grinding and polishing and common cutting and machining operations.


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http://dx.doi.org/10.1007/s10704-008-9196-4DOIArticle
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Additional Information:© Springer Science+Business Media B.V. 2008. Received: 22 December 2007 / Accepted: 13 March 2008 / Published online: 4 April 2008. We gratefully acknowledge the support of the DoD MURI at the California Institute of Technology on Mechanics and Mechanisms of Impulse Loading, Damage and Failure of Marine Structures and Materials through the Office of Naval Research (Grant #N00014-06-1-0730, Dr. Y. D. S Rajapakse, Program Manager).
Group:GALCIT
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Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-06-1-0730
Record Number:CaltechAUTHORS:20170408-151238451
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170408-151238451
Official Citation:Chai, H. & Ravichandran, G. Int J Fract (2007) 148: 221. doi:10.1007/s10704-008-9196-4
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76043
Collection:CaltechAUTHORS
Deposited By: 1Science Import
Deposited On:05 May 2017 23:27
Last Modified:05 May 2017 23:27

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