高桂云, 杨家修, 吴梦喜. 2017: 有限元强度折减法在边坡稳定性分析中的有效性及结果检验方法. 工程地质学报, 25(s1): 470-477. DOI: 10.13544/j.cnki.jeg.2017.s1.073
    引用本文: 高桂云, 杨家修, 吴梦喜. 2017: 有限元强度折减法在边坡稳定性分析中的有效性及结果检验方法. 工程地质学报, 25(s1): 470-477. DOI: 10.13544/j.cnki.jeg.2017.s1.073
    GAO Guiyun, YANG Jiaxiu, WU Mengxi. 2017: THE RELIABILITY OF FEM STRENGTH REDUCTION IN SLOPE STABILITY ANALYSIS AND ITS RESULT EVALUATION METHOD. JOURNAL OF ENGINEERING GEOLOGY, 25(s1): 470-477. DOI: 10.13544/j.cnki.jeg.2017.s1.073
    Citation: GAO Guiyun, YANG Jiaxiu, WU Mengxi. 2017: THE RELIABILITY OF FEM STRENGTH REDUCTION IN SLOPE STABILITY ANALYSIS AND ITS RESULT EVALUATION METHOD. JOURNAL OF ENGINEERING GEOLOGY, 25(s1): 470-477. DOI: 10.13544/j.cnki.jeg.2017.s1.073

    有限元强度折减法在边坡稳定性分析中的有效性及结果检验方法

    THE RELIABILITY OF FEM STRENGTH REDUCTION IN SLOPE STABILITY ANALYSIS AND ITS RESULT EVALUATION METHOD

    • 摘要: 有限元强度折减法的有效性及结果评价决定该方法是否能在工程上得到认可及推广的关键。本文基于有理论解的地基承载力问题和澳大利亚计算机应用协会(ACADS)边坡稳定性典型考题,通过计算值与理论解的对比以及塑性贯通区结果,对有限元强度折减法用于边坡稳定分析的有效性、失稳判据以及结果评价等问题进行了系统研究,提出了以塑性带宽度与长度之比检验计算结果的方法。结果发现,在足够且合理的网格密度下,有限元强度折减法分析边坡稳定性是有效的,不同类型的临界状态判据差异不大,而塑性区贯通判据最为客观;临界状态时塑性带的宽度与长度之比与安全系数的计算精度有很高的相关性,其值越小,精度越高,当塑性区相对宽度b/L小于0.05时,安全系数相对误差一般小于5%;对于强度折减法计算结果的精度评价,只要所得的等效塑性应变分布能确定滑动机制和大致的滑动面位置,其安全系数计算结果与更细密的网格的结果差异一般也在5%以内,精度就是足够的。

       

      Abstract: The reliability of FEM strength reduction in slope stability analysis and its result evaluation are the key factors that influence the engineering application of this method. Based on the ultimate bearing capacity problem of foundation and the slope stability benchmark examples of Australian Computer Application Association(ACADS). This paper deals with the reliability, the slope failure criterion and result evaluation of FEM strength reduction in slope stability analysis. A result evaluation method based on the ratio of width and length of the plastic zone b/L was proposed. Results show that the FEM strength reduction method is effective in the condition of sufficient and reasonable mesh density. And there is no significant difference between different slope failure criterions in this condition, while the plastic strain zone connection criterion is the most objective criterion. The results show that the relevance are very high between the safety factor and the ratio of width and length of the plastic zone b/L.The smaller value of this ratio, the higher precision of the safety factor. And the relative error of safety factor is less than 5%when the ratio b/L is less than 0.05. If the slip mechanism and the slip face could be determined from the equivalent plastic strain distribution, the difference of safety factor from that of finer mesh grid is less than 5% and the accuracy of the FEM strength reduction method is sufficient.

       

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