Advanced continuation and iterative methods for slope stability analysis in 3D

IF 4.8 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures Pub Date : 2025-05-31 DOI:10.1016/j.compstruc.2025.107842

Stanislav Sysala , Michal Béreš , Simona Bérešová , Tomáš Luber , Zdeněk Michalec

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Abstract

This paper addresses the solution of slope stability problems in 3D using the finite element method and incremental procedures like the shear strength reduction or limit load methods. We build on Mohr–Coulomb plasticity, Davis’ modifications of the non-associated plastic flow rule and recent mathematical results, which relate the factor of safety (FoS) with convex optimization. A complex solution concept is presented in detail and completed with in-house developed, publicly available open-source MATLAB codes. The concept consists of a combination of indirect continuation techniques, inexact Newton-like solvers and deflated Krylov methods with preconditioners. Further, mesh adaptivity is used to reduce overestimation of FoS and determine failure zones more accurately. The solution concept is tested on slope stability benchmarks in 3D and its efficiency is demonstrated. Numerical results are validated against either literature or software COMSOL Multiphysics.

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三维边坡稳定性分析的先进延拓迭代方法

本文采用有限元法和抗剪强度折减法或极限荷载法等增量方法解决了三维边坡稳定性问题。我们建立在Mohr-Coulomb塑性、Davis对非关联塑性流动规则的修正以及最近将安全系数（FoS）与凸优化联系起来的数学结果的基础上。详细介绍了一个复杂的解决方案概念，并完成了内部开发，公开可用的开源MATLAB代码。该概念由间接延拓技术、不精确的牛顿式求解器和带前置条件的瘪Krylov方法组成。此外，利用网格自适应减少了对FoS的高估，更准确地确定了故障区域。在三维边坡稳定性基准测试中验证了该解决方案的有效性。数值结果验证了文献或软件COMSOL Multiphysics。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computers & Structures 工程技术-工程：土木

CiteScore

8.80

自引率

6.40%

发文量

122

审稿时长

33 days

期刊介绍： Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.

Advanced continuation and iterative methods for slope stability analysis in 3D

Abstract

Advanced continuation and iterative methods for slope stability analysis in 3D