论文部分内容阅读
非连续变形分析(DDA)方法非常适合应用于模拟高度离散化的岩石块体系统的力学行为。然而,传统采取隐式时间积分方案的DDA方法,在运算过程中需要集成总体刚度矩阵和求解矩阵方程,这直接导致计算效率的降低,尤其在求解大规模非连续问题时。因此,提出一种基于显式时间积分的二维显式DDA方法。在求解过程中,不需要集成总体刚度矩阵和求解大型代数方程组。在求解加速度时,由于采用协调质量矩阵,可以分块求解,求解过程简单省时。仍沿用原DDA的开闭迭代算法,可确保块体间约束的准确施加,保证了求解精度。最后,通过几个典型算例,证实显式DDA的正确性和鲁棒性。
Discontinuous Deformation Analysis (DDA) method is very suitable for simulating the mechanical behavior of highly discrete rock mass systems. However, the traditional DDA method which adopts the implicit time integral scheme needs to integrate the global stiffness matrix and solve the matrix equation in the computation, which directly leads to the decrease of computational efficiency, especially when solving large-scale non-continuous problems. Therefore, a two-dimensional explicit DDA method based on explicit time integral is proposed. In the solution process, there is no need to integrate the global stiffness matrix and solve large algebraic equations. When solving accelerations, the solution can be solved in blocks due to the coordinated quality matrix, and the solution process is simple and time-saving. Still use the original DDA algorithm to open and close the iteration, which can ensure the accurate application of the constraint between the blocks and ensure the accuracy of the solution. Finally, several typical examples confirm the correctness and robustness of explicit DDA.