Rock Slope Analysis with Nonlinear Hoek–Brown Criterion Incorporating Equivalent Mohr–Coulomb Parameters

• Published in: Geotechnical and geological engineering 2019-12, Vol.37 (6), p.4741-4757
• Main Authors: Kumar, Vinay, Himanshu, Navneet, Burman, Avijit
• Format: Article
• Language: English
• Subjects: Civil Engineering; Compressive strength; Earth and Environmental Science; Earth Sciences; Equivalence; Failure surface; Geotechnical Engineering & Applied Earth Sciences; Height; Hydrogeology; Matlab; Mohr-Coulomb theory; Nonlinear analysis; Original Paper; Parameters; Particle swarm optimization; Rock masses; Rocks; Slope; Slope stability; Stability analysis; Terrestrial Pollution; Waste Management/Waste Technology; Yield criteria
• ISSN: 0960-3182; 1573-1529
• DOI: 10.1007/s10706-019-00935-9

In the present work, the results of rock slope analyses incorporating nonlinear Hoek–Brown yield criterion with equivalent Mohr–Coulomb strength parameters to simulate rock mass behaviour are presented. The factor of safety (FOS) of rock slopes are calculated using Morgenstern–Price and Spencer’s method. A simplified method of generating non-circular segmented failure surface is proposed. The search of minimum FOS and associated critical non-circular failure mass for rock slopes is performed by Particle swarm optimization (PSO) technique. A MATLAB code is developed incorporating nonlinear Hoek–Brown criteria with equivalent Mohr–Coulomb strength parameters and coupled with PSO to analyze stability of rock slopes. The efficiency and accuracy of the developed MATLAB code is established by comparing the obtained results with those from existing literatures. Furthermore, the analyses of slopes are performed with varying height and slope angle for an intact rock slope with varying material parameters such as Hoek–Brown constant m i and uniaxial compressive strength σ ci for rock material. It is found that the FOS value follows a decreasing pattern if height and the slope angles are increased.