涂义亮, 陈晓虎, 王星驰, 柴贺军, 张立舟, 张瑞. 基于连续-离散耦合强度折减法的边坡稳定性分析[J]. 工程力学. DOI: 10.6052/j.issn.1000-4750.2022.12.1047
引用本文: 涂义亮, 陈晓虎, 王星驰, 柴贺军, 张立舟, 张瑞. 基于连续-离散耦合强度折减法的边坡稳定性分析[J]. 工程力学. DOI: 10.6052/j.issn.1000-4750.2022.12.1047
TU Yi-liang, CHEN Xiao-hu, WANG Xing-chi, CHAI He-jun, ZHANG Li-zhou, ZHANG Rui. SLOPE STABILITY ANALYSIS BY STRENGTH REDUCTION METHOD UPON CONTINUOUS-DISCRETE COUPLING METHOD[J]. Engineering Mechanics. DOI: 10.6052/j.issn.1000-4750.2022.12.1047
Citation: TU Yi-liang, CHEN Xiao-hu, WANG Xing-chi, CHAI He-jun, ZHANG Li-zhou, ZHANG Rui. SLOPE STABILITY ANALYSIS BY STRENGTH REDUCTION METHOD UPON CONTINUOUS-DISCRETE COUPLING METHOD[J]. Engineering Mechanics. DOI: 10.6052/j.issn.1000-4750.2022.12.1047

基于连续-离散耦合强度折减法的边坡稳定性分析

SLOPE STABILITY ANALYSIS BY STRENGTH REDUCTION METHOD UPON CONTINUOUS-DISCRETE COUPLING METHOD

  • 摘要: 连续-离散耦合方法同时集成了有限元和离散元的优点,在非连续介质边坡的破坏模式和机理研究中已得到一定应用,但是该方法不能定量分析边坡的稳定性。为了解决此问题,首先开发出一种连续-离散耦合强度折减法,提出了宏、细观强度折减系数关系的建立方法,然后基于某经典边坡算例验证了方法的可行性,并从细观角度上研究了边坡破坏机理和失稳判据,最后讨论了耦合强度折减法最优离散域的选取原则和方法。结果表明:宏、细观折减系数之间满足指数增长关系;从耦合计算位移连续性、边坡安全系数、潜在滑动面多个角度验证了连续-离散耦合强度折减法是可行的,安全系数较其他方法差距最大为5.39%;边坡临界破坏时拉力链数量和颗粒间黏结破坏数量会出现明显的突变,由此提出可将这2种细观上的突变作为新的边坡失稳判据;最优离散域的安全系数较标准值差距仅为0.02%;选取离散域时,应遵循充分发挥离散元优势、权衡数值计算效率、简化数值计算模型等原则,即尽可能穿过边坡潜在滑动面、减少离散域的大小、采用规则和简单的矩形。

     

    Abstract: The continuous-discrete coupling method integrates the advantages of finite and discrete element method. This method has been applied to study the failure mode and mechanism of slope, but it cannot quantitatively analyze its stability. To solve this problem, a continuous-discrete coupling strength reduction method is developed, and the method for establishing the relationship between macroscopic and mesoscopic strength reduction factors is proposed, which is validated through a classical slope example. Then, the failure mechanism and criterion of the slope is studied in the macro- and meso- perspective. Finally, the method of selecting the optimal discrete region of the coupling strength reduction method is discussed. The results show that the macro- and meso- reduction coefficients meet the exponential growth relationship. The feasibility of the continuous-discrete coupling strength reduction method proposed is verified from multiple perspectives such as coupling calculation of displacement continuity, slope safety coefficient and potential sliding surface. The maximum error in the safety factor compared to other methods is 5.39%. The numbers of tension chains and inter-particle bond failures in the slope at the critical failure state changes significantly, which can be used as two new slope failure criteria. The error between the safety factor of the optimal discrete domain and the standard value is only 0.02%. When selecting a discrete region, some principles should be followed, viz., the discrete region should pass through the potential sliding surface in slope, its size should be minimized, and its shape should be regular and simple rectangle.

     

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