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在边坡的稳定性分析中,岩土体物理力学参数取值具有一定的区间性。以区间变量表示工程中的不确定性量,将区间数学与有限元方法结合起来,采用区间有限元法对边坡稳定性进行不确定分析。在潜在滑动面信息已知的前提下,在传统确定性有限元程序的基础上,编制区间有限元程序,计算边坡的位移、应力和应变区间,并且基于剪应力破坏准则的安全系数定义法求解安全系数区间。通过工程算例,并与传统的Bishop法计算结果进行对比分析,验证了该方法的可行性和有效性。在此基础上,进一步探讨了岩土参数区间的变异性对边坡安全系数区间的影响,结果表明,重度、粘聚力及内摩擦角区间对安全系数区间的影响较大。
In the slope stability analysis, the physical and mechanical parameters of rock and soil have a certain range of values. The interval variables are used to represent the uncertainty of the project, and the interval mathematics is combined with the finite element method. The stability of the slope is analyzed indefinitely by using the interval finite element method. Based on the traditional deterministic finite element program, the finite element program is developed to calculate the displacement, stress and strain interval of the slope, and the safety factor definition method based on the shear stress failure criterion is given on the premise of knowing the information of the potential sliding surface. Solve the safety factor interval. The engineering example is compared with the traditional Bishop method to verify the feasibility and effectiveness of the method. On this basis, the influence of the variability of geotechnical parameter interval on the slope safety factor interval is further discussed. The results show that the influence of heavy, cohesion and internal friction angle interval on the safety factor interval is significant.