Noncircular Slip Surface Search on Slopes Based on Minimum Potential Energy Method and Improved SA Algorithm

IF 3.4 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-10-09 DOI:10.1002/nag.3865

Yi Tang, Hang Lin

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引用次数: 0

Abstract

The limit equilibrium method has been widely used in the study of searching the slip surface of slopes. However, the method ignores the deformation characteristics of the rock mass and assumes that the shape of the slip surface is circular, which is quite different from the actual situation of the slope. For this reason, this paper proposes a fast search method for noncircular slip surface considering the deformation characteristics of the rock mass. The method is able to calculate the compression and shear deformation energies stored in the slip surface, as well as the virtual displacement generated by the slide mass when the slope is in a critical equilibrium state. The direction of motion of the slide mass is further calculated from the magnitude of the virtual displacement. In addition, this paper improves the generation of new solutions in the simulated annealing (SA) algorithm for the structural characteristics of the slip surface of the slope, thus achieving a fast search of the slip surface. Finally, the method of this paper is compared with the test question of ACADS and the simulation results of the finite difference method (FDM) to verify the effectiveness of the method of this paper.

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基于最小势能法和改进 SA 算法的斜坡非圆形滑面搜索

极限平衡法在寻找斜坡滑移面的研究中得到了广泛应用。然而，该方法忽略了岩体的变形特征，并假设滑移面的形状为圆形，这与斜坡的实际情况大相径庭。因此，本文提出了一种考虑岩体变形特征的非圆形滑移面快速搜索方法。该方法能够计算滑动面中储存的压缩和剪切变形能量，以及当斜坡处于临界平衡状态时滑块产生的虚拟位移。根据虚拟位移的大小可进一步计算滑块的运动方向。此外，本文还针对斜坡滑移面的结构特征，改进了模拟退火（SA）算法中新解的生成，从而实现了滑移面的快速搜索。最后，本文方法与 ACADS 的测试问题和有限差分法（FDM）的模拟结果进行了比较，验证了本文方法的有效性。

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

International Journal for Numerical and Analytical Methods in Geomechanics 工程技术-材料科学：综合

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.