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本文采用位移不连续数值方法 (DisplacementDiscontinuityMethod ,简称DDM)求解二维复合型裂纹在任意荷载条件下的断裂扩展问题。针对二维裂纹的破坏演化特征 ,建立了外荷载逐次增量及在最大拉应力准则下 ,沿裂纹扩展方向的单元自动追加的裂纹扩展动态过程的DDM跟踪方法。得到了单裂纹条件下的理论解及其与规则排列的双裂纹实验结果高度吻合的计算结构。该方法直接在裂纹体上划分单元 ,并且在裂纹演化过程中仅需在原有基础上追加单元 ,程序实现简单、单元数少 ,便于在微机上实现多裂纹的扩展模拟。
In this paper, Discontinuous Discontinuous Numerical Method (DDM) is used to solve the fracture propagation problem of two-dimensional composite crack under arbitrary load conditions. According to the damage evolution characteristics of two-dimensional crack, the DDM tracking method of dynamic increment of crack propagation under the maximum tensile stress criterion and automatically added to the crack propagation direction is established. The theoretical solution under single crack condition and the calculated structure are obtained which are in good agreement with the experimental results of regular double crack. The method divides the unit directly on the crack body, and only needs to add the unit on the basis of the original during the crack evolution. The program is simple and the number of units is small, which makes it easy to extend the simulation of multi-crack on the computer.