- Title
- Quantifying the cohesive strength of rock materials by roughness analysis using a domain based multifractal framework
- Creator
- Aligholi, Saeed; Torabi, Ali; Khandelwal, Manoj
- Date
- 2023
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/198344
- Identifier
- vital:19027
- Identifier
-
https://doi.org/10.1016/j.ijrmms.2023.105492
- Identifier
- ISSN:1365-1609 (ISSN)
- Abstract
- Cohesive strength or intrinsic tensile strength as well as cohesive length are two important unknowns for cohesive modelling of fracture and failure analysis of quasi-brittle materials including rocks. There is no direct method for measuring these parameters and their quantification is always challenging and controversial. In this study, a novel multifractal framework is employed to quantify the cohesive length of four different rock types including sandstone, marble, fine-grained granite and coarse-grained granite by analysing the roughness of their fracture surfaces in a wide range of length scales. On the one hand, microstructural heterogeneities of rock material at small enough length scales will cause multifractality of the roughness of its fractured surface. On the other hand, this intrinsic heterogeneity together with extrinsic features including loading and environmental conditions as well as geometrical features including shape and size of a quasi-brittle specimen or structure are forming a fracture process zone (FPZ) in front of any stress concentrators before crack propagation. Therefore, it is proposed that locating the transition from multifractality to mono-fractality of a rough rock fractured surface using the employed statistical mechanics method leads to quantifying the effective length of FPZ of a sharp crack or the cohesive length. This length is quantified for the studied rocks ranging from 0.4 to 1.1 mm. Moreover, by employing the theory of critical distances, the cohesive strength
- Publisher
- Elsevier Ltd
- Relation
- International Journal of Rock Mechanics and Mining Sciences Vol. 170, no. (2023), p.
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Rights
- http://creativecommons.org/licenses/by-nc-nd/4.0/
- Rights
- Copyright © 2023 The Authors
- Rights
- Open Access
- Subject
- 4005 Civil engineering; 4019 Resources engineering and extractive metallurgy; Cohesive length; Cohesive strength; Fracture process zone; Multifractal; Quasi-brittle material
- Full Text
- Reviewed
- Funder
- S. A. wishes to acknowledge the support from Australian Government Research Training Program (RTP) Scholarship and the Monash International Tuition Scholarship (MITS). S.A acknowledges the useful discussions with Drs. Laurent Ponson and Qianbing Zhang. This research is supported by the Australian Synchrotron and the MASSIVE HPC facility ( www.massive.org.au ).
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