This paper investigated a hybrid Meshless Displacement Discontinuity Method (MDDM) for a cracked plate subjected to static and dynamic loadings. The purpose of MDDM is to model displacement discontinuity on a cracked surface by the displacement discontinuity method in an infinite plate. This was achieved by considering a meshless approach, the equilibrium equations, and the boundary conditions for a domain with an irregular nodes distribution. Also, by imposing the principle of superposition, accurate and convergent solutions can be obtained. In this paper, the static and dynamic stress intensity factors, and the crack growth for different initial crack length and crack slant angles are investigated. The Laplace transform method is applied to deal with dynamic problems and the time-dependent values are obtained by the Durbin inversion technique. Validations of the presented technique are demonstrated by four numerical examples of plates with a central embedded crack.

本文研究了一种混合的无网格位移不连续性方法（MDDM），该方法用于承受静载荷和动载荷的裂纹板。MDDM的目的是通过无限板中的位移不连续方法来模拟裂纹表面上的位移不连续。这是通过考虑无网格方法，平衡方程和具有不规则节点分布的域的边界条件来实现的。同样，通过强加叠加原理，可以获得精确和收敛的解。本文研究了静态和动态应力强度因子以及不同初始裂纹长度和裂纹倾斜角度下的裂纹扩展。应用拉普拉斯变换法处理动态问题，并通过杜宾反演技术获得时变值。