An improved discretization-based kinematic approach for stability analyses of nonuniform c-φ soil slopes

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-07-18 DOI:10.1002/nag.3807
Hongyu Wang, Lingchao Meng, Changbing Qin
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Abstract

This paper proposes an improved discretization-based kinematic approach (DKA) with an efficient and robust algorithm to investigate slope stability in nonuniform soils. In an effort to ensure rigorous upper-bound solutions which may be not satisfied by the initial DKA based on a forward difference method (DKA-FD), a central and backward difference “point-to-point” method (DKA-CD and DKA-BD) is proposed to generate discretized points to form a velocity discontinuity surface. Varying (including constant) soil frictional angles along depth are discussed, which can be readily considered in the improved DKA-CD. Work rate calculations are performed to derive upper-bound formulations of slope stability number, and critical failure surface is correspondingly obtained at limit state. The comparison with forward and backward difference methods clearly reveals that the improved DKA-CD could significantly reduce the mesh-dependency issue and enhance efficacy of slope stability analyses in nonuniform soils.

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基于离散化的非均匀 c-φ 土质边坡稳定性分析运动学改进方法
本文提出了一种改进的基于离散化的运动学方法 (DKA),该方法具有高效、稳健的算法,可用于研究非均匀土壤中的边坡稳定性。为了确保基于正向差分法(DKA-FD)的初始 DKA 可能无法满足的严格上限解,本文提出了一种中心差分和反向差分 "点对点 "法(DKA-CD 和 DKA-BD),以生成离散点,形成速度不连续面。讨论了沿深度变化的(包括恒定的)土壤摩擦角,改进后的 DKA-CD 可以很容易地考虑这些摩擦角。通过功耗计算得出了边坡稳定数的上限公式,并相应地得到了极限状态下的临界破坏面。与正向差分法和反向差分法的比较清楚地表明,改进的 DKA-CD 可以显著减少网格依赖性问题,提高非均匀土中边坡稳定性分析的效率。
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来源期刊
CiteScore
6.40
自引率
12.50%
发文量
160
审稿时长
9 months
期刊介绍: The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.
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