Phantom node method for arbitrarily craked problems with 4-node quadrilateral elements
Corressponding author's email:
thanhcd@hcmute.edu.vnKeywords:
phantom-node method, 4-node quadrilateral elements, cracks, SIFs, fatigueAbstract
A phantom node method is developed for problems discretized by 4-node quadrilateral elements to describe arbitrary cracks. By overlapping elements at the position of the crack, the method may treat cracks independently of the mesh. The tip of the crack can be located inside the element owing to development of a new kinematic relation between overlapped 4-node quadrilateral elements. Stress intensity factors (SIFs) of several benchmark problems containing cracks are computed to verify the proposed method. The robustness and efficiency of the method when used to model arbitrary cracks are also demonstrated by solving some crack propagation examples.
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