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在非线性破坏准则下,考虑土体的剪胀性,采用极限分析法研究边坡的稳定性问题。根据土体的剪胀特性,采用广义切线技术对抗剪强度指标进行修正。将土体的剪胀特性以及非线性破坏准则引入到极限分析中,根据虚功率原理,推导了边坡的临界高度公式。在不考虑土体剪胀性的情况下,将计算结果与已有研究成果进行对比,验证了文中方法的正确性。引入剪胀特性的计算结果表明:边坡的临界高度随剪胀系数以及初始粘聚力的增大而增大,随非线性系数的增大而减小。此外,随着坡角的增大,土体剪胀性对边坡稳定性的敏感性提高。考虑土体的剪胀性和非线性破坏准则,对不良地质条件下边坡设计具有重要意义。
Under the criterion of nonlinear failure, considering the dilatancy of soil, the limit analysis method is used to study the stability of slope. According to the dilatancy characteristics of soil, the generalized tangent technique is adopted to correct the shear strength index. The dilatancy characteristics of soil and nonlinear failure criterion are introduced into the limit analysis. According to the principle of virtual power, the critical height formula of slope is deduced. Without considering the dilatancy of soil, the calculation results are compared with the existing research results to verify the correctness of the method. The calculation results of dilatancy characteristics show that the critical height of slope increases with the increase of dilatancy coefficient and initial cohesion, and decreases with the increase of nonlinear coefficient. In addition, with the increase of slope angle, the sensitivity of soil dilatancy to slope stability increases. Considering the dilatancy of soil and the criterion of nonlinear failure, it is of great significance for slope design under adverse geological conditions.