The simple shifted fracture method

Author (s): Li, K.; Rodríguez-Ferran, A. and Scovazzi, G.
Journal: International Journal for Numerical Methods in Engineering

Volume: 124
Pages: 2837 – 2875
Date: 2023

Abstract:
We propose a simplified version of the Shifted Fracture Method (SFM), which relies on an approximate fracture geometry representation combined with approximate interface conditions. In particular, we show that the complexities of earlier SFM implementations, associated with the use of a mixed variational formulation of the equilibrium equations, can be avoided. This approach has minimal impact on the overall accuracy of numerical computations but leads to considerable gains in performance. These outcomes can be justified because the proposed simplified SFM accurately accounts for the area of the fracture surface and prevents the severe mesh dependencies observed in classical cohesive zone models or node-release/element-deletion techniques. We also show that
the proposed approach can be combined with a phase-field model to more easily capture branching and merging of fractures.

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Bibtex:

@article {KL-LRFS:23b,
Author   = {Kangan Li and Antonio Rodr\'iguez-Ferran and Guglielmo Scovazzi},
Title    = {The simple shifted fracture method},
Fjournal = {International Journal for Numerical Methods in Engineering},
Journal  = {Int. J. Numer. Methods Eng.},
Volume   = {124},
Number   = {12},
Pages    = {2837--2875},
Year     = {2023},
Doi      = {https://doi.org/10.1002/nme.7232},
}