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谭晓慧, 王建国. 边坡的弹塑性有限元可靠度分析[J]. 岩土工程学报, 2007, 29(1): 44-50.
引用本文: 谭晓慧, 王建国. 边坡的弹塑性有限元可靠度分析[J]. 岩土工程学报, 2007, 29(1): 44-50.
TAN Xiaohui, WANG Jianguo. Slope reliability analysis using elasto-plastic finite element method[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(1): 44-50.
Citation: TAN Xiaohui, WANG Jianguo. Slope reliability analysis using elasto-plastic finite element method[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(1): 44-50.

边坡的弹塑性有限元可靠度分析

Slope reliability analysis using elasto-plastic finite element method

  • 摘要: 以弹塑性有限元理论和可靠度理论为基础,基于偏微分技术及增量初应力法,对采用Mohr-Coulomb屈服准则的边坡土体进行了弹塑性随机有限元可靠度分析,比较了基于强度折减法和基于滑面应力分析的弹塑性随机有限元分析法的异同:前者编程简单,可利用现有大型有限元计算软件计算边坡的整体可靠指标,但不能确定边坡中相应的潜在滑动面的位置,计算量较大,运算速度较慢;后者可以同时求出边坡的整体可靠指标及潜在滑动面的位置,运算速度快,但编程复杂。文中还研究了基于滑面应力分析的弹塑性随机有限元可靠度分析方法中滑面可靠指标的4种计算方法,比较了不同功能函数形式对边坡可靠指标及滑面位置的影响,指出采用考虑滑面方向的功能函数形式来求解可靠指标的方法3与基于强度折减法的可靠度分析本质相同,较为合理。

     

    Abstract: Based on the theory of elasto-plastic finite element and reliability analysis,the slope reliability index was studied by using partial differential technique and the incremental initial stress method.During the FEM analysis,the soil mass was assumed to be realistic elasto-plastic and Mohr-Coulomb yield criterion was adopted.Two methods of elasto-plastic FEM analysis were studied and compared—one was based on the technique of Strength Reduction Method(SRM) and the other was based on the technique of Sliding surface Stress Analysis(SSA).It was concluded that the former was simple in programming and could make use of some software.Although it could get the reliability index of the whole slope,it could not calculate the location of the corresponding sliding surface,which was very important in slope stability analysis.The later,however,could give the reliability index and the corresponding sliding surface,and it ran faster than the former,but it was very complicated in coding.In the analysis of the later case,four methods of calculating the reliability index of the sliding surface and the influences of the limit state function to the reliability index and the location of the sliding surface were discussed.It was concluded that method No.3,which could consider the direction of the sliding surface,was the same as the method based on SRM substantially and was the best one among the four methods.

     

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