Both phase-field and Extended Finite-Element Methods (X-FEM) are important means of simulating crack propagation. In this work, we propose combining these two approaches to utilize their individual benefits based on a novel medial-axis algorithm. Consequently, we can still capture complex crack geometries while having crack surfaces explicitly modeled by modifying the mesh with the X-FEM. The key idea of the medial-axis algorithm is to construct auxiliary mesh, connect the intersection points of the auxiliary mesh and phase-field isocontour and eventually generate medial axes which are composed of piecewise line segments. A numerical example shows the consistency of load-displacement curves before and after medial-axis based mesh cutting, which validates the feasibility of combing X-FEM and phase-field approaches.
ZHANG Ziyu
,
HAO Lin
. Application of X-FEM in a phase-field model for crack propagation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022
, 43(9)
: 225976
-225976
.
DOI: 10.7527/S1000-6893.2021.25976
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