A semi-explicit dynamic phase field model with domain decomposition based on dual partition super-elements

The phase field model has gained popularity in recent years as an elegant way to model fracture but suffers from issues of solvability and high computational cost.In this study, its computational efficiency is improved by extending a domain decomposition method that utilises dual partition super elements.This approach requires no additional parameters and is easily adaptable with minimal modifications.Furthermore, a semi-explicit integration scheme is developed as a robust method for tracing the dynamic equilibrium path.It is demonstrated based on the numerical example of a single notched plate that combining the semi-explicit scheme with the domain decomposition method can achieve significant speed up without a compromise in accuracy.