Comprehensive simulations of rock fracturing with pre-existing cracks by the numerical manifold method

Kang, Ge; Ning, Youjun; Chen, Pengwan; Pang, Siping; Shao, Yongbo

doi:10.1007/s11440-021-01252-3

Cited by 28 publications

(6 citation statements)

References 44 publications

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“…Up to data, many scholars have conducted uniaxial compression experiments on rock/rocklike specimens containing a single preexiting aw 8, [14][15][16][17] , double pre-exiting aws 10,[18][19][20][21][22] or multiple pre-exiting aws [23][24][25][26][27][28][29][30] with different geometric shapes by means of laboratory experiments and numerical simulations to study the cracks initiation, propagation, and coalescence resulting in macroscopic failure of the specimen. In addition, the crack coalescence types, initiation angle, propagation modes, and fracture characteristics were further explored.…”

Section: Introductionmentioning

confidence: 99%

A hybrid finite-discrete element method for modelling cracking processes in sandy mudstone containing a single edge-flaw under cyclic dynamic loading

Zhang,

Xu,

Zhang

et al. 2024

Preprint

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Rock mass deformation and failure are macroscopic manifestations of crack initiation, propagation, and coalescence. However, simulating the transition of rocks from continuous to discontinuous media under dynamic loads remains challenging. This study proposes a hybrid finite-discrete element method (HFDEM) to model crack propagation. Uniaxial compression tests on sandy mudstone with a single edge-flaw are simulated using HFDEM, and the results are compared with laboratory tests. The effects of pre-existing flaw inclination angle and dynamic loading frequency on the crack process are investigated. Results show that under dynamic loading, rock samples exhibit significantly higher compressive strength compared to quasi-static loading, which increases with dynamic frequency. Crack initiation angle also increases with flaw inclination angle and dynamic frequency. Experimental and numerical simulation results demonstrate crack initiation at the defect's tip, formation of wing cracks, and a combination of tensile and shear failure modes. The comparative analysis shows that HFDEM successfully captures crack interaction mechanisms and accurately simulates the overall failure behavior of cracked specimens. This study provides valuable insights into crack development and failure of rocks under seismic loads, offering guidance for engineering practices.

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Section: Introductionmentioning

confidence: 99%

A hybrid finite-discrete element method for modelling cracking processes in sandy mudstone containing a single edge-flaw under cyclic dynamic loading

Zhang,

Xu,

Zhang

et al. 2024

Preprint

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“…However, the evolutionary distribution characteristics of stress and deformation fields within flawed rocks are not obtained by experimental means, which leads to the fact that the fracture failure mechanism of flawed rocks cannot be revealed during the deformation failure process. Fortunately, some scholars [19][20][21][22][23][24] adopted the numerical methods to not only predict the fracture paths of flawed rocks but also to obtain the distribution characteristics of stress and deformation fields within flawed rocks, which can provide a new approach to reveal the fracture failure mechanism of flawed rocks.…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, different numerical methods, including the finite element method, 25 extended finite element method, 26 smoothed particle hydrodynamics, 27 discontinuous deformation analysis, 28 numerical manifold method, 21 particle flow code, 19 phase-field model, 22 and peridynamic (PD) theory 20 , have been developed to study the cracking characteristics and fracture failure mechanism of flawed rocks under compressive stress. Among these numerical methods, the PD theory proposed by Silling 29 is a nonlocal meshless method of continuum mechanics to solve discontinuous problems like crack initiation and propagation in brittle materials.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on cracking behavior and fracture failure mechanism of flawed rock materials under uniaxial compression

Niu

Wang

et al. 2023

Fatigue Fract Eng Mat Struct

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The numerical approach is a vital means for evaluating the stability of flawed rocks. In this paper, the extended non‐ordinary state‐based peridynamics (NOSB‐PD) theory is employed to simulate the fracture process of rocks containing two pre‐existing flaws. Two stress criteria, including the maximum tensile stress criterion and the Mohr–Coulomb criterion, are implemented into the NOSB‐PD numerical method to respectively judge the tensile and shear failure of rock materials. The effects of inclination angles and ligament angles on the crack initiation and coalescence modes for flawed rocks are investigated based on the numerical results. The numerical results are in good agreement with the previous experimental results. The fracture mechanism of flawed rocks is revealed based on the evolutionary distribution characteristics of the maximum principal stress field and shear stress field obtained by the extended NOSB‐PD theory.

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“…It is well known that the apparent failure phenomena of engineering rock masses [ 13 ], such as landslides, collapses, rockfalls, tilting, bottom heaving, and roof caving, can be described using different strength theories in rock mechanics [ 14 , 15 , 16 ]. The commonly used rock strength theories include the maximum normal stress theory, the maximum shear stress theory, the octahedral shear stress theory, the Mohr theory, the Griffith theory, and the Lode–Bishop theory.…”

Section: Introductionmentioning

confidence: 99%

Research Progress and Hot Spot Analysis of the Propagation and Evolution Law of Prefabricated Cracks in Defective Rocks

Zhu

Wang

2023

Materials

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The generation of rock mass disasters in underground engineering essentially arises from the disruption of the original three-dimensional stress equilibrium of the rock mass caused by excavation and other activities, leading to the redistribution of stress fields. During the excavation process, the engineering rock mass undergoes complex dynamic stress equilibrium processes involving loading and unloading. This equilibrium process promotes the nucleation, initiation, and propagation of pre-existing cracks in the surrounding rock, resulting in changes in the internal structure of the rock mass and a weakening of its strength. Eventually, this localized cracking extends to global failure. In order to understand the current status better and study the development trends in the study of crack propagation and evolution in defective rock, this study conducts a bibliometric analysis of 288 articles from the Web of Science Core Collection database using CiteSpace software (version 6.1.R4). The results indicate an increasing trend in the annual publication output, characterized by two phases of emergence and rapid development. The countries of China, the United States, and Iran have the highest publication output in this field. The most frequently cited journals include INT J ROCK MECH MIN, ENG FRACT MECH, and ROCK MECH ROCK ENG. This study provides a comprehensive analysis of the current status and development trends in the research on the propagation and evolution of pre-existing cracks. This study enhances the comprehension of crucial aspects of crack propagation and evolution in rock materials with defects. Moreover, it opens up new possibilities for future investigations and holds promising implications for researchers and practitioners in the field.

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Comprehensive simulations of rock fracturing with pre-existing cracks by the numerical manifold method

Cited by 28 publications

References 44 publications

A hybrid finite-discrete element method for modelling cracking processes in sandy mudstone containing a single edge-flaw under cyclic dynamic loading

A hybrid finite-discrete element method for modelling cracking processes in sandy mudstone containing a single edge-flaw under cyclic dynamic loading

Numerical study on cracking behavior and fracture failure mechanism of flawed rock materials under uniaxial compression

Research Progress and Hot Spot Analysis of the Propagation and Evolution Law of Prefabricated Cracks in Defective Rocks

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