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对空间曲面取矩的三维边坡稳定性分析方法研究 被引量:5
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作者 李斌 喻志发 黄传志 《湖南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2018年第A01期1-7,共7页
三维边坡稳定分析解析解的推导是岩土工程领域的难点.基于空间一点应力分析,进行了空间曲面上一点的应力分析,得出了曲面上一点的法向应力、剪应力与应力分量、曲面一阶偏导数的关系;建立了曲面至边坡表面土柱上力的微分平衡方程、力的... 三维边坡稳定分析解析解的推导是岩土工程领域的难点.基于空间一点应力分析,进行了空间曲面上一点的应力分析,得出了曲面上一点的法向应力、剪应力与应力分量、曲面一阶偏导数的关系;建立了曲面至边坡表面土柱上力的微分平衡方程、力的平衡方程、力矩平衡方程.和库仑屈服条件一起,构成了边坡稳定问题普遍适用的基本方程组;采用与二维问题的简化Bishop法类似假定,得出了一种三维边坡稳定性分析的计算方法.算例表明本文方法计算结果是合理的,对下一步的推导和应用具有指导意义. 展开更多
关键词 三维边坡稳定 空间曲面 应力分析 力矩平衡方程 计算方法
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三维边坡稳定问题的基本方程与分析方法 被引量:4
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作者 李树奇 黄传志 +1 位作者 曹永华 刘爱民 《岩土工程学报》 EI CAS CSCD 北大核心 2010年第12期1892-1897,共6页
基于空间一点应力分析,进行了空间曲面上一点的应力分析,得出了曲面上一点的法向应力、剪应力与应力分量、曲面一阶偏导数的关系。建立了曲面至边坡表面土柱上力的微分平衡方程、力的平衡方程、力矩平衡方程。和库仑屈服条件一起,构成... 基于空间一点应力分析,进行了空间曲面上一点的应力分析,得出了曲面上一点的法向应力、剪应力与应力分量、曲面一阶偏导数的关系。建立了曲面至边坡表面土柱上力的微分平衡方程、力的平衡方程、力矩平衡方程。和库仑屈服条件一起,构成了边坡稳定问题普遍适用的基本方程。采用与二维问题的简化Bishop法类似假定,得出了一种三维边坡稳定性分析的计算方法。算例表明,本文方法计算结果是合理的,具有广泛的应用意义。 展开更多
关键词 三维边坡稳定 空间曲面 应力分析 力矩平衡方程 计算方法
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三维边坡稳定性计算的ChatGPT辅助编程方法
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作者 邓其宁 崔玉龙 +2 位作者 王炯超 郑俊 许冲 《岩土力学》 2025年第S1期322-334,共13页
ChatGPT是一种基于GPT-4架构的先进自然语言处理模型,已在多个领域展现了显著的应用潜力。为探讨ChatGPT在编制三维边坡稳定计算程序方面的应用潜力,创新性地将自然语言处理模型与土木工程计算相融合,提出了一种三维边坡稳定计算的ChatG... ChatGPT是一种基于GPT-4架构的先进自然语言处理模型,已在多个领域展现了显著的应用潜力。为探讨ChatGPT在编制三维边坡稳定计算程序方面的应用潜力,创新性地将自然语言处理模型与土木工程计算相融合,提出了一种三维边坡稳定计算的ChatGPT-Python智能编程方法,实现了极限平衡法与强度折减法的稳定性系数计算Python程序。该方法包含3个主要步骤:定义问题,详细描述工程情境并引导ChatGPT生成工程示意图;设计算法,进行计算问题阐述并要求ChatGPT提供有效的解决方案;实现代码,依据计算理论生成可行的编程解决方案。ChatGPT在每个阶段提供智能化建议,并辅以人工审查以确保计算结果的理论准确性和工程可行性。以三维边坡稳定性分析为案例,通过与商业软件的计算结果进行对比,研究案例的最大相对误差为4.99%,从而验证了基于ChatGPT生成的Python算法具有较高的计算精度。此研究为工程计算提供了一种创新的辅助手段,展现了人工智能在土木工程领域的巨大应用前景。 展开更多
关键词 三维边坡稳定 ChatGPT 数值分析 Python编程 工程问题
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基于软化特性的三维边坡强度折减有限元分析 被引量:9
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作者 孙聪 李春光 +1 位作者 郑宏 孙冠华 《岩土力学》 EI CAS CSCD 北大核心 2014年第S1期407-413,共7页
基于现有边坡强度折减有限元的基本原理,建立了一套新的强度折减算法。该算法把强度参数降低的过程看成脆塑性应力跌落的过程,并设置一折减增量?k,当?k充分小时认为系统达到收敛条件而退出循环,最终的折减系数就是边坡的安全系数。该算... 基于现有边坡强度折减有限元的基本原理,建立了一套新的强度折减算法。该算法把强度参数降低的过程看成脆塑性应力跌落的过程,并设置一折减增量?k,当?k充分小时认为系统达到收敛条件而退出循环,最终的折减系数就是边坡的安全系数。该算法很容易扩展到三维边坡的稳定性分析,得到边坡滑动面滑动和破坏的发展趋势。通过2个算例,分析了进行三维模型计算的重要性,建议当地质条件复杂时宜从三维角度分析计算边坡,不能简单地将问题当作平面应变处理。 展开更多
关键词 强度折减有限元 应力跌落 脆塑性 三维边坡稳定性分析
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无人机航空摄影技术在三维边坡建模中的应用 被引量:19
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作者 王延寿 《遥感信息》 CSCD 北大核心 2022年第5期51-55,共5页
三维边坡稳定性定量分析是弥补二维边坡稳定性定量分析结果达不到重要工程对边坡稳定性要求时的重要技术手段。运用迈达斯数值模拟软件建立了三维边坡模型,并进行了稳定性定量分析计算。地质体地表信息数据的获取是三维边坡建模的首要条... 三维边坡稳定性定量分析是弥补二维边坡稳定性定量分析结果达不到重要工程对边坡稳定性要求时的重要技术手段。运用迈达斯数值模拟软件建立了三维边坡模型,并进行了稳定性定量分析计算。地质体地表信息数据的获取是三维边坡建模的首要条件,以无人机航空摄影技术为手段,快速精准获取大比例尺地形图,根据地形图生成地质体表层的三维曲面图,进而建立三维边坡地质体仿真模型,根据钻孔揭示的地层厚度划分模型网格属性,最后进行三维边坡稳定性定量分析。三维边坡稳定性定量分析可直观查看边坡任意剖面处的剪应变、有效塑性应变和总位移变化,以便准确判断边坡是否发生破坏及其潜在滑动面位置。同时,三维边坡稳定性定量分析结果更符合边坡实际变形情况。 展开更多
关键词 线型混合模型 三维边坡稳定性分析 数字高程模型 三维模型 有效塑性应变
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重力坝深层抗滑稳定可靠度分析研究 被引量:11
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作者 朱建明 张宏涛 陈祖煜 《岩土工程学报》 EI CAS CSCD 北大核心 2008年第10期1444-1448,共5页
为了解决三维安全系数在现有的重力坝设计规范中无法参照的问题,利用基于塑性极限分析理论的三维边坡稳定分析方法对重力坝抗滑稳定的安全系数进行了求解,并且采用Rosenbleuth法计算求解了可靠度指标,从而对重力坝深层抗滑稳定的可靠性... 为了解决三维安全系数在现有的重力坝设计规范中无法参照的问题,利用基于塑性极限分析理论的三维边坡稳定分析方法对重力坝抗滑稳定的安全系数进行了求解,并且采用Rosenbleuth法计算求解了可靠度指标,从而对重力坝深层抗滑稳定的可靠性进行了研究分析。算例和工程实例表明,通过可靠度指标可以对三维边坡的稳定性从失效概率方面加以解释说明。 展开更多
关键词 重力坝抗滑稳定 三维边坡稳定分析 可靠度
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三维块体元塑性极限分析下限法 被引量:3
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作者 陈炜 李泽 +1 位作者 王均星 罗贝尔 《岩土力学》 EI CAS CSCD 北大核心 2010年第11期3645-3650,共6页
基于块体元离散思想,将三维边坡离散为块体-结构面组成的块体系统,假定块体为刚体,以结构面上的应力为未知量;从下限定理出发,构造满足平衡条件、边界条件和屈服条件的静力许可场,平衡方程严格满足3方向力平衡及绕3个主轴方向的力矩平... 基于块体元离散思想,将三维边坡离散为块体-结构面组成的块体系统,假定块体为刚体,以结构面上的应力为未知量;从下限定理出发,构造满足平衡条件、边界条件和屈服条件的静力许可场,平衡方程严格满足3方向力平衡及绕3个主轴方向的力矩平衡条件,为避免非线性规划,对屈服条件进行线性化处理;最后,建立了下限法数学规划模型,通过线性及非线性规划获得边坡稳定严格的下限解。用几个典型算例验证了文中方法的正确性及可行性。 展开更多
关键词 三维边坡稳定 下限法 块体元 安全系数 数学规划
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Three-dimensional stability analysis of anisotropic and non-homogeneous slopes using limit analysis 被引量:9
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作者 韩长玉 陈锦剑 +1 位作者 夏小和 王建华 《Journal of Central South University》 SCIE EI CAS 2014年第3期1142-1147,共6页
A method of three-dimensional loaded slope stability for anisotropic and nonhomogeneous slopes was presented based on the upper-bound theorem of the limit analysis approach. The approach can be considered as a modific... A method of three-dimensional loaded slope stability for anisotropic and nonhomogeneous slopes was presented based on the upper-bound theorem of the limit analysis approach. The approach can be considered as a modification and extension of the solutions. The influences of friction angle, anisotropy factor, nonhomogeneous factor, slope angle, ratio of width to depth, and load on the slope crest were investigated. The results show that solutions are suitable to deal with the purely cohesive soils and frictional/cohesive soils, isotropic and anisotropic, homogeneous and nonhomogeneous, loaded and unloaded cases. 展开更多
关键词 stability ANISOTROPY limit analysis loaded slope nonhomogeneous slope
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Time-variant reliability analysis of three-dimensional slopes based on Support Vector Machine method 被引量:4
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作者 陈昌富 肖治宇 张根宝 《Journal of Central South University》 SCIE EI CAS 2011年第6期2108-2114,共7页
In the reliability analysis of slope, the performance functions derived from the most available stability analysis procedures of slopes are usually implicit and cannot be solved by first-order second-moment approach. ... In the reliability analysis of slope, the performance functions derived from the most available stability analysis procedures of slopes are usually implicit and cannot be solved by first-order second-moment approach. A new reliability analysis approach was presented based on three-dimensional Morgenstem-Price method to investigate three-dimensional effect of landslide in stability analyses. To obtain the reliability index, Support Vector Machine (SVM) was applied to approximate the performance function. The time-consuming of this approach is only 0.028% of that using Monte-Carlo method at the same computation accuracy. Also, the influence of time effect of shearing strength parameters of slope soils on the long-term reliability of three-dimensional slopes was investigated by this new approach. It is found that the reliability index of the slope would decrease by 52.54% and the failure probability would increase from 0.000 705% to 1.966%. In the end, the impact of variation coefficients of c andfon reliability index of slopes was taken into discussion and the changing trend was observed. 展开更多
关键词 slope engineering Morgenstern-Price method three dimension Support Vector Machine time-variant reliability
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Three-dimensional analysis of slopes reinforced with piles 被引量:10
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作者 高玉峰 叶茂 张飞 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第6期2322-2327,共6页
Based on the upper bound of limit analysis, the plane-strain analysis of the slopes reinforced with a row of piles to the 3D case was extended. A 3D rotational failure mechanism was adopted to yield the upper bound of... Based on the upper bound of limit analysis, the plane-strain analysis of the slopes reinforced with a row of piles to the 3D case was extended. A 3D rotational failure mechanism was adopted to yield the upper bound of the factor of safety. Parametric studies were carried out to explore the end effects of the slope failures and the effects of the pile location and diameter on the safety of the reinforced slopes. The results demonstrate that the end effects nearly have no effects on the most suitable location of the installed piles but have significant influence on the safety of the slopes. For a slope constrained to a narrow width, the slope becomes more stable owing to the contribution of the end effects. When the slope is reinforced with a row of piles in small space between piles, the effects of group piles are significant for evaluating the safety of slopes. The presented method is more appropriate for assessing the stability of slopes reinforced with piles and can be also utilized in the design of plies stabilizing the unstable slopes. 展开更多
关键词 three-dimensional rotational failure mechanism stability of slopes limit analysis LANDSLIDES PILES
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3D stability assessment of stepped slopes in inhomogeneous soils 被引量:4
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作者 LI Xiong-wei ZHU Jian-qun +1 位作者 LI Zheng-wei YANG Xiao-li 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第1期221-230,共10页
Stability assessment of slopes has historically been performed assuming soils to be homogeneous in two-dimensional(2D) cases. In real cases, soils are usually inhomogeneous, and each slope collapse indicates a three-d... Stability assessment of slopes has historically been performed assuming soils to be homogeneous in two-dimensional(2D) cases. In real cases, soils are usually inhomogeneous, and each slope collapse indicates a three-dimensional(3D) nature. Based on a 3D rotational failure mechanism, this work develops an approach to account for the impact of the vertical strength inhomogeneity on the 3D stability of stepped slopes. Seismic actions are taken into account by introducing the concept of a horizontal seismic coefficient. An upper-bound expression for stability factors is derived in the light of the kinematic approach, and the most critical solution is obtained from an optimization programming. In comparison with the previously published solutions, the validity of the proposed method is shown. A sensitivity analysis is carried out to discuss parametric effects on the stability of 3D stepped inhomogeneous slopes. 展开更多
关键词 inhomogeneous soil stepped slope stability factor 3D horn failure mechanism
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Improved slope safety analysis by new Druker-Prager type criterion 被引量:1
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作者 朱俊高 彭凯 +1 位作者 J.F.Shao 刘汉龙 《Journal of Central South University》 SCIE EI CAS 2012年第4期1132-1137,共6页
Based on Mohr-Coulomb (M-C) criterion, the parameters of Druker-Prager (D-P) criterion for geomaterial were determined under non-associated flow rule, and thus a new D-P type criterion was presented. Two assumptio... Based on Mohr-Coulomb (M-C) criterion, the parameters of Druker-Prager (D-P) criterion for geomaterial were determined under non-associated flow rule, and thus a new D-P type criterion was presented. Two assumptions were employed during the derivation: 1) principal strains by M-C model and D-P model are equal, and 2) the material is under plane strain condition. Based on the analysis of the surface on rt plane, it is found that the proposed D-P type criterion is better than the D-P criterion with M-C circumscribed circle or M-C inscribed circle, and is applicable for stress Lode angle less than zero. By comparing the predicted results with the test data of sand under plane strain condition and other D-P criteria, the proposed criterion is verified and agrees well with the test data, which is further proved to be better than other D--P type criteria in certain range of Lode angle. The criterion was compiled into a finite difference package FLAC3D by user-subroutine, and was used to analyze the stability of a slope by strength reduction method. The predicted slope safety factor from the proposed criterion agrees well with that by Spencer method, and it is more accurate than that from classic D-P criteria. 展开更多
关键词 yield criterion non-associated flow rule dilatancy angle plastic potential function
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