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Open Access Research Article

A comparative study of three types of strength criteria for rocks

by Mingming He 1,* ,  Qing Yang 1 ,  Panagiotis G. Asteris 2  and  Qin Zhao 1
1
Institute of Geotechnical Engineering, Xi’an University of Technology, Xi’an 710048, China
2
Computational Mechanics Laboratory, School of Pedagogical and Technological Education, Heraklion, GR 14121, Athens, Greece
*
Author to whom correspondence should be addressed.
RML  2025 2(1):8; https://doi.org/10.70425/rml.202501.8
Received: 1 September 2024 / Accepted: 10 October 2024 / Published Online: 28 October 2024
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Abstract

Currently, the unified strength criterion (USC), the three-dimensional Hoek-Brown (3D H-B) criterion and the generalized unified strength theory (GUST) are the three types of typical rock strength criteria. In this paper, a comparative study of the three types of strength criteria is performed for rocks. Based on the nonlinear characteristics of rock strength on meridian and deviatoric planes, the USC can predict rock strength under triaxial stress state. The USC is composed of two failure functions on meridian and deviatoric planes. The failure surface of the USC in principal stress space satisfies smoothness and convexity. The predicted strength for five types of rock under the true triaxial tests were compared among the USC, the GUST, and the 3D H-B criterion. The results indicate that the USC can effectively reflect the influence of the intermediate principal stress on rock strength and accurately predict rock strength under both triaxial tension (σ1=σ2>σ3) and triaxial compression (σ1>σ2=σ3). Additionally, the conventional triaxial tests were conducted on other eight types of rock to measure the strength on meridian plane. The predicted strengths for the eight types of rock on meridian plane were compared between the USC and the original H-B, which suggests that the USC is suitable for various types of rock and provides higher accuracy.

Keywords: Unified strength criterion; 3D H-B criterion; Generalized unified strength theory;
Copyright: © 2024 by He, Yang, Asteris and Zhao. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) (Creative Commons Attribution 4.0 International License). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
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Funding

National Natural Science Foundation of China (42177158 and U2368203)

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ACS Style
He, M.; Yang, Q.; Asteris, P. G.; Zhao, Q. A comparative study of three types of strength criteria for rocks. Rock Mechanics Letters, 2025, 2, 8. doi:10.70425/rml.202501.8
AMA Style
He M, Yang Q, Asteris P G et al.. A comparative study of three types of strength criteria for rocks. Rock Mechanics Letters; 2025, 2(1):8. doi:10.70425/rml.202501.8
Chicago/Turabian Style
He, Mingming; Yang, Qing; Asteris, Panagiotis G.; Zhao, Qin 2025. "A comparative study of three types of strength criteria for rocks" Rock Mechanics Letters 2, no.1:8. doi:10.70425/rml.202501.8
APA Style
He, M., Yang, Q., Asteris, P. G., & Zhao, Q. (2025). A comparative study of three types of strength criteria for rocks. Rock Mechanics Letters, 2(1), 8. doi:10.70425/rml.202501.8

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