Griffith-based analysis of crack initiation location in a Brazilian test
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Published version
Author(s)
Navidtehrani, Y
Betegón, C
Zimmerman, RW
Martínez-Pañeda, E
Type
Journal Article
Abstract
The Brazilian test has been extremely popular while prompting significant debate. The main source of controversy is rooted in its indirect nature; the material tensile strength is inferred upon assuming that cracking initiates at the centre of the sample. Here, we use the Griffith criterion and finite element analysis to map the conditions (jaws geometry and material properties) that result in the nucleation of a centre crack. Unlike previous studies, we do not restrict ourselves to evaluating the stress state at the disk centre; the failure envelope of the generalised Griffith criterion is used to establish the crack nucleation location. We find that the range of conditions where the Brazilian test is valid is much narrower than previously assumed, with current practices and standards being inappropriate for a wide range of rock-like materials. The results obtained are used to develop a protocol that experimentalists can follow to obtain a valid estimate of the material tensile strength. This is showcased with specific case studies and examples of valid and invalid tests from the literature. Furthermore, the uptake of this protocol is facilitated by providing a MATLAB App that determines the validity of the experiment for arbitrary test conditions.
Date Issued
2022-11-01
Date Acceptance
2022-09-13
Citation
International Journal of Rock Mechanics and Mining Sciences, 2022, 159, pp.1-16
ISSN
0020-7624
Publisher
Elsevier
Start Page
1
End Page
16
Journal / Book Title
International Journal of Rock Mechanics and Mining Sciences
Volume
159
Copyright Statement
© 2022 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
License URL
Sponsor
Royal Commission for the Exhibition of 1851
Identifier
http://arxiv.org/abs/2209.06456v1
Grant Number
RF496/2018
Subjects
physics.geo-ph
physics.geo-ph
cs.CE
Publication Status
Published
Article Number
105227
Date Publish Online
2022-10-06