Article
Engineering, Geological
Hangzhou Li, Tong Guo, Yalin Nan, Bo Han
Summary: The study identifies the effect of sigma(2) on the strength of rocks through true triaxial tests and develops a simple 3D strength criterion. The modified criterion demonstrates a good fit to most rock types and performs better than other criteria in predicting rock strengths.
JOURNAL OF ROCK MECHANICS AND GEOTECHNICAL ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Su-Tang Wang, Xiao-Li Yang, Fu Huang, Qiu-Jing Pan
Summary: The paper presents a method for analyzing the stability of rock slopes in three dimensions, solving the hydraulic head distribution and calculating the seepage forces under steady state hydraulic conditions using numerical methods. The approach is validated through parametric analysis, showing that the safety factor increases with certain parameters but decreases with slope angle and aspect ratio increases.
COMPUTERS AND GEOTECHNICS
(2021)
Article
Energy & Fuels
Xiangcheng Que, Zhende Zhu, Zihao Niu, Shu Zhu, Luxiang Wang
Summary: Accurate description of the failure strength behaviors of rock materials, including intact rocks and jointed rock masses, is crucial for engineering design and construction. This paper proposes a novel three-dimensional (3D) version of the Hoek-Brown (HB) criterion for intact rocks, which incorporates the effects of intermediate and minimum principal stresses. The proposed criterion is validated and compared with existing criteria, showing the smallest prediction error for most rock types. Additionally, an empirical relationship between the material parameter and joint dip angle is developed for jointed rock masses, with the proposed relation exhibiting the best prediction performance.
GEOMECHANICS AND GEOPHYSICS FOR GEO-ENERGY AND GEO-RESOURCES
(2023)
Article
Engineering, Geological
Z. B. Sun, B. W. Wang, C. Q. Hou, S. C. Wu, X. L. Yang
Summary: This paper proposes a 3D PD method considering the temporal and spatial effects of earthquake input for rock slopes yielding Hoek-Brown criterion. The method is established on a one-block mechanism and the details of the method are elaborated, including failure mechanism, energy balance equation, and solution strategy. The study reveals the significant effects of temporal-spatial variation of seismic input on slope stability.
INTERNATIONAL JOURNAL OF GEOMECHANICS
(2022)
Article
Engineering, Geological
Mingming He, Zhiqiang Zhang, Jiwei Zhu, Ning Li
Summary: The study proposes a new model to investigate the relationship between porosity and rock strength ratios, modifying the Hoek-Brown criterion to incorporate porosity instead of constants m(i) and s. Various rock tests show that the modified criterion effectively represents the impact of porosity on rock failure envelopes and can be used to estimate rock porosity and strength parameters.
ROCK MECHANICS AND ROCK ENGINEERING
(2022)
Article
Chemistry, Multidisciplinary
Qingfeng Meng, Xuyue Hu, Guanghui Chen, Peng Li, Zhi Wang
Summary: An analytical approach was proposed in this study to estimate the critical seismic acceleration of rock slopes, which utilized the modified Hoek-Brown failure criterion and upper-bound theory to convert the nonlinear criterion into a linear one. The effectiveness of the method was validated through numerical simulations, and design charts were provided for practical use in rock engineering.
APPLIED SCIENCES-BASEL
(2021)
Article
Engineering, Geological
Vicente Mercado, William Fuentes, Felipe Ochoa-Cornejo
Summary: This work presents the implementation of a simplified three-dimensional Hoek-Brown strength criterion using a multiyield-surface plasticity approach. The adopted three-dimensional simplification takes into account the influence of the intermediate principal stress and maintains simplicity in numerical implementation. The introduction of multiple yield surfaces allows for a smooth definition of the material's nonlinear stress-strain behavior, while a kinematic hardening rule enables a hysteretic and path-dependent stress-strain response.
INTERNATIONAL JOURNAL OF GEOMECHANICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Junhao Zhong, Chuantan Hou, Xiaoli Yang
Summary: In this work, the Piecewise Linear Method (PLM) is introduced to accurately predict the required face pressure for rock tunnels excavated in Hoek-Brown media. The study compares and analyzes the Generalized Tangential Technique (GTT) and Equivalent Mohr-Coulomb parameters Method (EMM) for linearized measurements. The required face pressure is formulated as an optimization problem depending on 2n variables and is solved using the Marine Predators Algorithm (MPA). The results show that the 3D analysis using PLM improves the prediction of face pressure compared to GTT, and EMM provides consistent results with PLM and GTT for heavily fractured rock mass.
COMPUTERS AND GEOTECHNICS
(2023)
Article
Environmental Sciences
Alan Showkati, Mansour Sharafisafa
Summary: In this paper, an upper bound solution to the factor of safety (FoS) of an anchor-reinforced rock slope is developed using the Hoek-Brown failure criterion in combination with kinematic approach of limit analysis. Two ways to incorporate the non-linear HB criterion into limit analysis are considered: the tangential technique and the equivalent Mohr-Coulomb parameters method. An optimization scheme is programmed in Matlab to capture an upper bound to the slope FoS by trying all kinematically admissible failure mechanisms. The numerical results show good agreement with other approaches. However, the equivalent method generally overestimates FoS when compared to the tangential technique, meaning that caution should be exercised when using it.
ENVIRONMENTAL EARTH SCIENCES
(2023)
Article
Mining & Mineral Processing
A. Karrech, X. Dong, M. Elchalakani, H. Basarir, M. A. Shahin, K. Regenauer-Lieb
Summary: The parameters and failure criteria that affect slope stability are well understood, but conservative design approaches can lead to excessive overburden removal and jeopardize profitability in open pit mining. Numerical methods are useful for identifying stable zones, but they are approximate and lack the ability to pinpoint critical factors without extensive parametric studies. Existing analytical approaches have not addressed slope stability using non-linear plasticity criteria and three-dimensional failure mechanisms. This paper bridges this gap by utilizing the yield design theory and the Hoek-Brown criterion, while also considering the effect of seismic forces.
INTERNATIONAL JOURNAL OF MINING SCIENCE AND TECHNOLOGY
(2022)
Article
Multidisciplinary Sciences
Paramita Bhattacharya, Puja Dutta
Summary: The stability of twin and single elliptical tunnels in Hoek-Brown rock masses under surcharge pressure is assessed using lower bound finite element limit analysis with power cone programming. The tunnels are assumed to be unlined. The maximum normalized surcharge pressure (q(s)/& sigma;(ci)), where q(s) is the intensity of surcharge pressure and & sigma;(ci) is the uniaxial compressive strength of the intact rock, is evaluated to determine tunnel stability. Various factors, including Hoek-Brown parameters, rock mass compressive strength, cover depth ratio, tunnel profile aspect ratio, and clear spacing between twin tunnels, are studied for their effects on the magnitude of q(s)/& sigma;(ci) for elliptical tunnels. Regression analysis design equations are provided to estimate q(s)/& sigma;(ci) for both dual and single elliptical tunnels.
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
(2023)
Article
Geochemistry & Geophysics
Shiyue Zhang, Ruiyuan Gao, Qingxiang Meng, Xiaohu Zhang
Summary: This study investigated the calculation method of rock resistant coefficient based on the Hoek-Brown failure criterion and analyzed the sensitivity of different parameters. The results showed that the formula is more sensitive when a, sigma(c), and K-d are low.
Article
Engineering, Geological
Jun-Hao Zhong, Xiao-Li Yang
Summary: This paper presents a new method for evaluating the stability of rock slopes based on the Hoek-Brown strength criterion, incorporating a rotational failure mechanism and a modified pseudo-dynamic method. The stability of rock slopes is measured through optimization of 21 angle variables and a time variable, with stability charts provided for quick assessment in engineering applications. Comparisons with existing literature validate the rationality and accuracy of the proposed procedure.
Article
Engineering, Mechanical
Yifan Chen, Hang Lin
Summary: The Hoek-Brown criterion is widely used in various fields. This study investigated the deterioration of Hoek-Brown parameters for freeze-thaw multi-fractured rock mass and proposed a new estimation method based on shear test. The values of GSI and mi were found to decrease with the increase of freeze-thaw cycles, following a negative exponential function model.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2023)
Article
Engineering, Geological
Suraparb Keawsawasvong, Jim Shiau
Summary: This study presents an advanced approach to evaluate the stability of Hoek-Brown rock mass with a spherical cavity, using rigorous upper bound and lower bound solutions of stability factors solved through advanced finite element limit analysis. Comprehensive design charts, tables, and equations are provided for stability evaluation.
ROCK MECHANICS AND ROCK ENGINEERING
(2022)
