考虑损伤渗流边坡稳定性数值离心加载法分析
Centrifugal loading finite element method for slope stability under damage-seepage coupling effect
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摘要: 为分析损伤-渗流耦合作用下边坡工程的稳定性,建立了基于Mohr-Coulomb准则的岩石弹塑性损伤-渗流耦合模型。从主应力空间的角度出发推导了损伤作用下Mohr-Coulomb准则的应力回映算法,解决了数值实施过程中应力更新的“奇异点问题”;基于分布迭代法编制了岩石弹塑性损伤-渗流耦合有限元计算程序。将离心加载法与所编程序结合,求解了多场耦合作用下的边坡安全系数,再现了边坡渐进破坏过程中损伤场演化规律,证明了所建数值模型能够较好的描述应力、渗流和损伤作用下,岩石材料的宏观破坏现象。最后对实际边坡工程进行了数值模拟,计算结果为工程安全性评价提供了参考。Abstract: An elasto-plastic damage seepage coupling model for rock based on the Mohr-Coulomb criterion is established to analyze slope stability. The stress return method in the principal stress space is given for the Mohr-Coulomb criterion under damage effect to solve the singular point problem during stress updating. The elastoplastic-damage-seepage finite element program for rock is compiled based on the stepwise iterative method. The centrifugal loading method is combined with the program which is used to calculate the factor of safety of slopes under coupling effect, and the damage evolution rules during failure process are represented. Finally, the numerical simulation is done for an actual slope, and the results may provide reference for the evaluation of engineering safety.