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Three-dimensional time-dependent fracturing model for hard rock involving stress-induced anisotropic cracks
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Chen Fana, b, Xia-Ting Fenga, b, *, Jun Zhaoa, b, Chengxiang Yanga, b, Mengfei Jianga, b
Journal of Rock Mechanics and Geotechnical Engineering | 2026, 18(5) : 3333 - 3347
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Journal of Rock Mechanics and Geotechnical Engineering | 2026, 18(5): 3333-3347
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Three-dimensional time-dependent fracturing model for hard rock involving stress-induced anisotropic cracks
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Chen Fana, b, Xia-Ting Fenga, b, *, Jun Zhaoa, b, Chengxiang Yanga, b, Mengfei Jianga, b
Affiliations
  • aState Key Laboratory of Intelligent Deep Metal Mining and Equipment, Northeastern University, Shenyang, 110819, China
  • bKey Laboratory of Liaoning Province on Deep Engineering and Intelligent Technology, Northeastern University, Shenyang, 110819, China
  • Prof. Xia-Ting Feng received his PhD degree at Northeastern University of Technology (now Northeastern University since 1993), China in 1992, and then took the position of lecturer, associate professor, and professor at the same university. He joined the Institute of Rock and Soil Mechanics, Chinese Academy of Sciences (CAS) in 1998 as a Professor of the Hundred Talent Program of the CAS and Deputy Director in Charge and Director during 2001-2005. He has worked as Director of the State Key Laboratory of Geomechanics and Geotechnical Engineering since 2007. He has worked at Northeastern University, China, as a Vice President since September 2017. In February 2021, he became president of Northeastern University. He is President of the Federation of International Geo-engineering Societies (FedIGS), President of the International Society for Rock Mechanics (ISRM) Commission on Design Methodology, member of the ISRM Commission on Testing Methods, and President of the Chinese Society for Rock Mechanics and Engineering (CSRME). He was the past President of ISRM from 2011 to 2015. He is also Editor-in-Chief of Journal of Rock Mechanics and Geotechnical Engineering (JRMGE), and Associate Editor-in-Chief of Chinese Journal of Theoretical and Applied Mechanics. He is a member of the Editorial Board of Rock Mechanics and Rock Engineering. His research interests cover rock mechanics for deep rock engineering. He published more than 200 technical papers and the English books "Rock Engineering Design" and "Rock Engineering Risk" with Prof. John Hudson. He has edited five volumes of the book "Rock Mechanics and Rock Engineering" (CRC Press) and the book "Rockburst" (Elsevier).

Published: 2026-05-25 doi: 10.1016/j.jrmge.2025.07.042
Outline
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The time-dependent failure of surrounding rock in deep engineering is essentially controlled by the evolution of microcracks, with the pre-existing fracturing state induced by excavation playing a crucial role in the subsequent time-dependent fracturing process. From the perspective of microcrack development, it is a continuous, dynamic process. Therefore, taking the microcrack propagation process as the fundamental principle, this paper proposes a novel three-dimensional (3D) time-dependent model for hard rock that can depict the entire fracturing process within a unified theoretical framework. This developed model discards the traditional tri-modal partition method based on deformation, and instead adopts an analysis approach centred on time-dependent tensile and shear fracturing. The results show that the time-dependent deformation of hard rock is the macroscopic manifestation of the progressive evolution of microcracks over time. Under true triaxial stress, the growth tendency of cracks in hard rock is orientation-dependent throughout the entire loading process. This developed model provides a mechanical explanation for key time-dependent fracture characteristics observed in true triaxial creep tests, including the anisotropy of time-dependent deformation and the preferred orientation of macroscopic failure plane, and provides a novel framework for elucidating the time-dependent failure process of hard rock.

Three-dimensional (3D) time-dependent model  /  Continuous fracturing process  /  Microcrack development  /  Time-dependent anisotropic fracturing  /  True triaxial stress
Chen Fan, Xia-Ting Feng, Jun Zhao, Chengxiang Yang, Mengfei Jiang. Three-dimensional time-dependent fracturing model for hard rock involving stress-induced anisotropic cracks[J]. Journal of Rock Mechanics and Geotechnical Engineering, 2026 , 18 (5) : 3333 -3347 . DOI: 10.1016/j.jrmge.2025.07.042
  • National Natural Science Foundation of China(52209125)
Year 2026 volume 18 Issue 5
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Article Info
doi: 10.1016/j.jrmge.2025.07.042
  • Receive Date:2025-03-01
  • Online Date:2026-06-17
  • Published:2026-05-25
Article Data
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History
  • Received:2025-03-01
  • Revised:2025-06-03
  • Accepted:2025-07-10
Funding
National Natural Science Foundation of China(52209125)
Affiliations
    aState Key Laboratory of Intelligent Deep Metal Mining and Equipment, Northeastern University, Shenyang, 110819, China
    bKey Laboratory of Liaoning Province on Deep Engineering and Intelligent Technology, Northeastern University, Shenyang, 110819, China

Corresponding:

* Corresponding author. State Key Laboratory of Intelligent Deep Metal Mining and Equipment, Northeastern University, Shenyang, 110819, China. E-mail address: (X.-T. Feng).
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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