An AsFem implementation for quasi-static brittle fracture phase field model

TL;DR

This paper presents an open-source implementation of the phase field fracture model in AsFem, simplifying the process compared to commercial software and demonstrating its effectiveness through various tests.

Contribution

It introduces a new implementation of the phase field fracture model in AsFem, making it easier to simulate fracture problems with open-source tools.

Findings

Simulation results agree with previous work

Implementation is simpler than commercial software

Effective for 2D and 3D fracture problems

Abstract

Phase field method has been widely used because of its excellent ability to simulate fracture problems. At present, the implementation process is mainly based on commercial software, and the operation process is relatively complex. In this paper, 2D and 3D phase field models are implemented in the open-source finite element software package AsFem. Compared with commercial software, it is simpler to realize phase field fracture model in AsFem. At the same time, a robust staggered scheme and an efficient monolithic scheme can be used to solve the displacement field and phase field sub-problem, and the transformation process is very easy. Several examples are tested to demonstrate the performance of the current implementation. The simulation results are in good agreement with the previous work, which shows the feasibility and effectiveness of implementing the phase field method in AsFem. In the future, more complex multi-field coupled phase field fracture problems can be solved with AsFem.