Dynamic analyses of jointed rock masses, such as slope stability evaluations, have been intensively studied in recent years; discontinuous deformation analysis (DDA) is one of the feasible methods in this field. To predict the failure mode, the kinematic energy, and the reaching distance after the collapse, the friction characteristics of the rock joints must be computed correctly. However, conventional DDA often cannot easily determine appropriate analysis parameters that can predict the sliding displacement between the rock masses precisely, and at worst, the computation fails. In this study, to enhance the robustness and accuracy of the DDA, the updating procedure of the friction force is investigated. An implicit updating scheme of friction force based on the elasto-plastic framework, the so-called return mapping algorithm, and the Newton–Raphson iteration is newly introduced to the DDA. Additionally, the transition algorithm between the static and the residual friction is also implemented to reproduce friction strength degradation. The performance of the proposed full implicit DDA is examined through the numerical examples and improvements in the robustness, accuracy, and computational efficiency for the dynamic sliding problems along the rock joint were confirmed.

近年来，对节理岩体的动力学分析（例如边坡稳定性评估）进行了深入研究。不连续变形分析（DDA）是该领域中可行的方法之一。为了预测破坏模式，运动能和塌陷后的到达距离，必须正确计算出岩石节理的摩擦特性。但是，传统的DDA通常无法轻易确定可准确预测岩体之间滑动位移的合适分析参数，最糟糕的是，计算失败。在这项研究中，为了提高DDA的鲁棒性和准确性，研究了摩擦力的更新过程。基于弹塑性框架的摩擦力隐式更新方案，即所谓的返回映射算法，DDA中新引入了Newton–Raphson迭代。另外，还实现了静摩擦和残余摩擦之间的过渡算法，以重现摩擦强度的下降。通过数值算例验证了所提出的全隐式DDA的性能，并确认了沿岩石节理的动态滑动问题的鲁棒性，准确性和计算效率得到了改善。