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Effect of intermediate principal stress on the stability of slopes

Ma Zongyuan, Liu Lei

Archives of Civil Engineering

2025

Vol. 71, nr 3

83--96

The intermediate principal stress (𝜎2 ) effect is a mechanical property inherent in many rock and soil materials. However, the effect of 𝜎2 is often ignored in slope stability analyses, and its impact on slope stability is seldom investigated. The primary purpose of this study is to thoroughly investigate the impact of the 𝜎2 effect on slope stability via numerical method. A detailed numerical analysis using the Finite Difference Code Fast Lagrangian Analysis of Continua (FLAC) and Unified Strength Theory (UST) is conducted. The numerical analysis evaluates the values of the Factor of Safety (FOS) for two types of slopes (plane strain and axisymmetric) using the Strength Reduction Method (SRM), and the impact of the 𝜎2 effect on slope stability is analysed. The study found that the influence of the 𝜎2 effect on slope stability is not sensitive to the values of friction angle ϕ, cohesion c, and slope height H, but increases with increasing slope angle β values. Furthermore, the stability of the plane strain slope is more affected by the 𝜎2 effect than the axisymmetric slope. The impact of the 𝜎2 effect on the footing capacity and slope stability were compared, and the impact of the 𝜎2 effect on slope stability is significantly lower than its effect on the bearing capacity of footings. The innovation of this paper is to systematically analyse the effect of 𝜎2 on slope with different geometric shapes and soil parameters and reveal the inherent characteristics of 𝜎2 effect on the stability of soil slope.