In this contribution, the phase field model for dynamic brittle fracture is investigated with an emphasis on the time discretization scheme. The precise integration scheme, which is known unconditionally stable for ordinary dynamics, is employed for the phase field model. The governing equation for the phase field model is thus formulated and discussed. Ways in the precise integration scheme for homogenizing the discretized equations for different loading scenarios are introduced. Numerical examples are provided to demonstrate the proposed method. The results show the proposed scheme allows a larger time interval then the widely used finite difference method for the phase field model.

在这篇文章中，研究了动态脆性断裂的相场模型，重点是时间离散化方案。相场模型采用精确积分方案，该方案对于普通动力学而言是无条件稳定的。因此制定并讨论了相场模型的控制方程。介绍了在不同载荷情况下均匀化离散方程的精确积分方案中的方法。提供了数值例子来演示所提出的方法。结果表明，与广泛使用的相场模型有限差分法相比，所提出的方案允许更大的时间间隔。