Critical state criterion for rock brittle-ductile transition based on curved Mohr strength theory
ZHANG Jing1, 2, 3, ZHOU Zonghong1, 3, LIU Hai2, OUYANG Zhihua4, HAN Yansong1
(1. Faculty of Land Resource Engineering, Kunming University of Science and Technology, Kunming, Yunnan 654093, China;
2. Yunnan Gold Minging Group Co., Ltd., Kunming, Yunnan 650200, China; 3. Yunnan Key Laboratory of Sino-German Blue Mining and Utilization of Special Underground Space, Kunming, Yunnan 654093, China; 4. College of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan, Hubei 430081, China)
Abstract：The critical state criterion for the rock brittle-ductile transition holds significant practical importance for assessing the forms and frequencies of engineering disasters in deep rock masses. By analyzing the critical state characteristics of the rock brittle-ductile transition as defined by the curved Mohr strength theory, this study proposes a critical state criterion that incorporates factors such as fracture modulus, uniaxial tensile strength, internal cohesion, and fracture angle, based on the Mohr-Wedge criterion derived from the aforementioned theory. The applicability of this critical state criterion is validated using data from rock triaxial compression tests. The results indicate that the critical state criterion for rock brittle-ductile transition, which quantitatively relates to uniaxial compressive strength, exhibits poor overall fitting. In contrast, the critical state criterion based on the Mohr-Wedge criterion aligns more closely with the transition trend from rock brittleness to ductility. Furthermore, the rock fracture angle included in this critical state criterion does not alter the confining pressure value at the critical state; rather, it affects the gradient of the strength curve in the ductile phase. To prevent the gradient of the strength curve in the ductile stage from exceeding that of the brittle stage, it is recommended that the fracture angle in the critical state of the brittle-ductile transition be set to 45°. The critical state criterion for rock brittle-ductile transition proposed in this work can serve as a valuable reference for understanding the transition and changes in the strength curve during the ductile phase.
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