Abstract：A staggered updated method for a phase field model was implemented in the commercial finite element software ABAQUS through UMAT and VUMAT subroutines. In order to verify the reliability of the algorithm，crack propagation in modes I and II under quasi-static and dynamic loads was calculated. All the results are generally consistent with the testing results in the existed references. In addition，simulations for wing cracks and curved surface cracks were also carried out. The results show that the main reason of dynamic crack branching is the high elastic strain energy stored in solids. The algorithm of phase field model is effective to simulate crack initiation，intersection，bifurcation and propagation in three-dimensional space，and can be executed conveniently in commercial FEM software.
刘国威1，李庆斌1，左 正1，2. 相场断裂模型分步算法在ABAQUS中的实现[J]. 岩石力学与工程学报, 2016, 35(5): 1019-1030.
LIU Guowei1，LI Qingbin1，ZUO Zheng1，2. Implementation of a staggered algorithm for a phase field model in ABAQUS. , 2016, 35(5): 1019-1030.
HESCH C，WEINBERG K. Thermodynamically consistent algorithms for a finite-deformation phase-field approach to fracture[J]. International Journal for Numerical Methods in Engineering，2014，99(12)：906-924.
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