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Original Articles

A theoretical strain relationship for identifying the failure of laboratory-scale rocks under triaxial compression

, , ORCID Icon & ORCID Icon
Pages 99-115 | Received 25 Mar 2019, Accepted 12 Jul 2019, Published online: 05 Aug 2019
 

ABSTRACT

A theoretical strain relationship between peak strain (εpeak) and crack damage strain (εcd) is established for identifying the failure of the rock under triaxial compression. The relationship is derived from the two-dimensional renormalisation group theory with consideration of the rock heterogeneous microstructures. It is afunction of five parameters, including the confining stress (σ3), Young’s modulus (E), friction angle (φ), Poisson’s ratio (γ) and homogeneity index of Weibull distribution (m). The σ3, E, φ and γ values can be readily obtained from the stress–strain data, and amethod for obtainingmvalue using σ3, σcd, εcd, E, φ and γ values is proposed. Comparison with the triaxial compression test results of 48 shale specimens with four bedding dip angles shows the failure identifications using the established relationship well agree with the experimental measurements, demonstrating the ability of the established relationship to identify the failure of the laboratory-scale rock specimens under triaxial compression. Single-parameter sensitivity analysis shows that the established relationship between the εcd and εpeak is affected by the parameters with different sensitivity. The highest to lowest sensitivity of the parameters are φ, σ3, E, γ andm, respectively.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the Strategic Priority Research Program of the Chinese Academy of Sciences [XDB10030302], the open fund of SINOPEC Key Laboratory of Geophysics [33550006-16-FW0399-0026], the National Natural Science Foundation of China [41807224] and the Natural Science Foundation of Zhejiang Province [LQ17D020001].

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