Taking advantage of a unique dual-cover system, the numerical manifold method (NMM) is a powerful tool for analyzing stability and progressive failure of jointed/fractured rock masses. In this study, a new implicit cone complementary (CC) formulation is integrated into the NMM to capture the dynamic frictional-cohesive contact problems in jointed/fractured rock masses. The innovative numerical method, termed as the CC-NMM, circumvents numerical difficulties of using artificial contact penalty and open-close iteration in the original NMM. Benchmark examples demonstrate that both mechanical energy and translational momentum of the system are conserved in the proposed CC-NMM. Several examples are further designed to illustrate the excellent performance of the CC-NMM in simulating the progressive failure pattern and stability of the jointed/fractured rock masses.

利用独特的双重覆盖系统，数字流形方法（NMM）是分析节理/裂隙岩体的稳定性和渐进破坏的强大工具。在这项研究中，新的隐式圆锥互补（CC）公式被集成到NMM中，以捕获节理/裂隙岩体中的动态摩擦-粘性接触问题。被称为CC-NMM的创新数值方法避免了在原始NMM中使用人工接触罚分和开闭迭代的数值困难。基准示例表明，在拟议的CC-NMM中既保留了系统的机械能，又保留了平移动量。