To improve the computational efficiency of the numerical manifold method for discontinuous deformation simulations, a spatial‐domain coupled explicit‐implicit time integration algorithm is proposed. A subdomain partition algorithm based on a super manifold element is developed for the numerical manifold method to simulate dynamic motions of blocky rock mass. In different subdomains, explicit or implicit time integration method is employed respectively based on its contact and motion status. These subdomains interact through assembling the corresponding explicit or implicit time integration‐based matrices of different rock blocks. The computational efficiency of the discontinuity system under dynamic loading is improved by partially diagonalizing the global matrices. Two verification examples of a sliding block along an inclined plane under a horizontal acceleration excitation and a multiblock system acted on by dynamic forces are studied to examine the accuracy of the proposed numerical method, respectively. A highly fractured rock mass situated on an inclined slope subjected to seismic excitations is then studied to show the computational efficiency of the developed algorithm. The simulated results are in good agreement with those from the versions using purely implicit or explicit time integration algorithm for the numerical manifold method. The computational efficiency is shown to be higher using the proposed algorithm, which demonstrates its potential for application in dynamic analysis of highly fractured rock masses.

中文翻译：

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数值流形方法用于不连续变形分析的耦合时间积分算法

为了提高数值流形方法在不连续变形模拟中的计算效率，提出了一种空间域耦合的显式-隐式时间积分算法。针对数值流形方法，开发了一种基于超级流形元的子域划分算法，以模拟块状岩体的动态运动。在不同的子域中，根据其接触和运动状态分别采用显式或隐式时间积分方法。这些子域通过组装不同岩石块的相应基于显式或隐式时间积分的矩阵进行交互。通过部分对角全局矩阵可以提高不连续系统在动态载荷下的计算效率。研究了在水平加速度激励下沿倾斜平面滑动块的两个验证实例和在动态力作用下的多块系统的两个验证实例，以检验所提出的数值方法的准确性。然后研究了在地震激励作用下位于倾斜斜坡上的高裂隙岩体，以显示所开发算法的计算效率。仿真结果与使用数值流形方法的纯隐式或显式时间积分算法的版本的结果吻合良好。使用所提出的算法显示出更高的计算效率，这证明了其在高裂隙岩体动力分析中的应用潜力。