The analytical solution of moving Griffith crack model with a constant speed is well known as the Yoffe solution. For a static crack, the strip yielding model is well known as the Dugdale model. It is found that when the Dugdale model is generalized to the moving crack case, the crack opening displacement (COD) is discontinuous with the positive and negative infinite at the Rayleigh wave speed. A restraining stress zone is attached to the crack tip while two speed effect functions are introduced. Assume that there is a linear distribution in the restraining stress zone. The complex function approach is employed to solve the problem. Analytical solutions of dynamic stress intensity factor (SIF) and crack opening displacement (COD) are then obtained. The new COD result is continuous and is a finite value at the Rayleigh wave speed. Some numerical results of COD are given. Some valuable conclusions are obtained.