Fracture Closure Empirical Model and Theoretical Damage Model of Rock under Compression

Chen, Yifan; Lin, Hang; Xie, Shijie; Cao, Rihong; Sun, Shuwei; Zha, Wenhua; Wang, Yixian; Zhao, Yanlin; Hu, Huihua

doi:10.3390/ma16020589

Cited by 10 publications

(4 citation statements)

References 58 publications

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“…Assumptions are made for each part, including the uniform distribution and isotropy of the rock matrix, as well as its perfect elasticity with small deformation until the stress limit is exceeded. Additionally, there is no confined stress acting on the inclusion [31], and the deformation and failure of the inclusion itself are not considered. The superposition method is used to facilitate the verification of the calculation [32].…”

Section: Stress Distribution Ofmentioning

confidence: 99%

Numerical Study on the Impact of Locked-In Stress on Rock Failure Processes and Energy Evolutions

Wang,

Liu,

Liu

et al. 2023

Materials

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Locked-in stress refers to internal stress present within rock formations that can influence the failure process of rocks under specific conditions. A simplified mechanical model is applied, drawing on elasticity and the hypothesis of locked-in stress, to explore the influence of locked-in stress on the mechanical properties of loaded rocks. An analytical solution is obtained for the stress distribution in a failure model of rocks that include locked-in stress. The findings demonstrate that the geometry and orientation of stress inclusions within the rock influence the initiation and propagation of cracks under the combined influence of locked-in stress and high-stress conditions. Moreover, the presence of locked-in stress substantially reduces the rock’s capacity to withstand maximum stress, thereby increasing its susceptibility to reaching a state of failure. The increase in closure stress leads to a significant increase in the magnitude of the maximum stress drop and radial strain variation within the rock, resulting in reduced strength and a shortened life of the ageing failure of the rock. In addition, the influence of stress inclusions on energy dissipation is investigated, and a novel relationship is established between the roughness coefficient of the rock structure surface and the angle of the rock failure surface. This relationship serves to characterize the linear dynamic strength properties of rock materials containing locked-in stress. This investigation not only advances the comprehension of stress distribution patterns and the effects of locked-in stress on rock failure patterns but also facilitates a more precise portrayal of the nonlinear features of alterations in the rock stress-strain curve under the influence of confined stress. These findings provide a solid theoretical foundation for ensuring the safety of excavations in various deep engineering projects.

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Section: Stress Distribution Ofmentioning

confidence: 99%

Numerical Study on the Impact of Locked-In Stress on Rock Failure Processes and Energy Evolutions

Wang,

Liu,

Liu

et al. 2023

Materials

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“…In recent years, there has been considerable research on the mechanical properties of fractured rock masses, with many results achieved. Many experimental studies have been performed by researchers on the stress-strain characteristics of fractured rock masses containing different forms of fractures under load [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 ].…”

Section: Introductionmentioning

confidence: 99%

Constitutive Model for Grouted Rock Mass by Macro-Meso Damage

et al. 2023

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Rock fractures have a significant impact on the stability of geotechnical engineering, and grouting is currently the most commonly used reinforcement method to address this issue. To ensure the stability of grouted rock mass, it is necessary to study its deformation law and mechanical properties. In this study, theoretical analyses and laboratory experiments were conducted, and the fracture width, Weibull model and effective bearing area were introduced to improve the applicability and accuracy of the original damage constitutive model. Moreover, the constitutive model of grouted rock mass was derived by combining it with the mixing law of composite materials. The main conclusions are summarized as follows: (1) Based on macroscopic damage tensor theory, the fracture width parameter was introduced, which effectively described the variation law of macroscopic damage with fracture width to improve the accuracy of the original damage constitutive model. (2) The effective bearing area was used to optimize the original Weibull model to match the stress-strain curve of the rock mass with fractures. (3) The grouting-reinforced rock mass was considered to be a composite material, the original equivalent elastic modulus model was improved by combining macroscopic damage with the Reuss model, and the constitutive damage model of the grouted rock mass was deduced.

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“…Landslides are one of the most dangerous geological disasters, causing heavy casualties and economic losses around the world [ 1 , 2 , 3 , 4 ]. In rock projects such as transportation, hydropower and mining, the original stable slopes are easily affected by the disturbance of engineering excavations [ 5 , 6 , 7 , 8 ], leading to more destructive disasters such as landslides and collapses [ 9 ], such as landslides occurred on the expressway [ 10 ] ( Figure 1 ). The bearing capacity estimation has always been an important issue in the field of geotechnical engineering [ 11 , 12 ], which is also the basis for project design.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Strength Reduction Method of Rock Mass in Slope Stability Evaluation

Chen

Lin

2023

Materials

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As the strength parameters of rock mass degrade differently during slope instability, different factors should be considered in the strength reduction method. Previous nonlinear reduction methods were essentially implemented based on the Mohr–Coulomb criterion, which was reported not to reflect the nonlinear performance of rock mass. To address this deficiency, in this study, the Hoek–Brown criterion was combined with a nonlinear reduction technique for slope stability evaluation. Firstly, based on the classical definition of safety factors, the relationships that should be satisfied by each parameter of the critical slope were derived. The critical curve of the slope regarding the Hoek–Brown constant mb and the uniaxial compressive strength of rock mass σcmass was then obtained. On the assumption that the slope parameter deterioration conforms to the shortest path theory, the reduction ratio of σcmass to mb was determined. The more objective k-means algorithm was employed to automatically search the potential sliding surface, on which the slope safety factor was calculated as the ratio of sliding resistance to sliding force. Finally, the slopes in published literature were adopted for verification, and the calculated safety factors were compared with those by other methods, which showed better efficacy.

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Fracture Closure Empirical Model and Theoretical Damage Model of Rock under Compression

Cited by 10 publications

References 58 publications

Numerical Study on the Impact of Locked-In Stress on Rock Failure Processes and Energy Evolutions

Numerical Study on the Impact of Locked-In Stress on Rock Failure Processes and Energy Evolutions

Constitutive Model for Grouted Rock Mass by Macro-Meso Damage

Nonlinear Strength Reduction Method of Rock Mass in Slope Stability Evaluation

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