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首页> 外文期刊>Applied Mathematical Modelling >A four-way enhanced numerical manifold method for crack propagation and failure analysis of rock slopes
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A four-way enhanced numerical manifold method for crack propagation and failure analysis of rock slopes

机译：一种四路增强数值歧管方法，用于岩石斜坡的裂纹传播和故障分析

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摘要

A four-way enhanced numerical manifold method (NMM) is proposed in order to simulate crack propagation in rock media and progressive failure of jointed rock slopes. Specifically, the original NMM is improved in the following four aspects: (1) An "enriched local approximation" is employed to characterize singularity and discontinuity of the displacement/stress fields near the crack tip. (2) A "modified generalized Duffy transformation" is proposed to improve the accuracy of numerical integration associated with the 1/r and 1/(r~(1/2)) singularities. (3) A "critical length cracking criterion" is introduced to determine propagation length and direction for both tensile-shear and compressive-shear cracks in rock mass. (4) A "cone-complementary-based contact formulation" is incorporated to resolve the cohesive/frictional contact phenomena between discontinuous interfaces more accurately. Some examples demonstrate the performance and application prospect of the presented NMM in stability and failure analysis of the jointed rock slopes.
机译：提出了一种四通增强的数值歧管方法（NMM），以模拟岩石介质中的裂纹传播和连接岩石斜坡的逐步失效。具体地，原始NMM在以下四个方面改善：（1）采用“富集的局部近似”，以表征裂缝尖端附近的位移/应力场的奇点和不连续性。 （2）提出了“改进的广义巨石转化”，提高与1 / R和1 /（R〜（1/2））奇异相关的数值积分的准确性。 （3）引入了“临界长度裂缝标准”以确定岩体中的拉伸剪切和压缩剪切裂纹的传播长度和方向。 （4）掺入“基于锥形互补的接触配方”，以更准确地解决不连续接口之间的粘性/摩擦接触现象。一些例子证明了所呈现的NMM在连接岩石斜坡的稳定性和故障分析中的性能和应用前景。

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