A combined XFEM phase-field computational model for crack growth without remeshing

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hdl:2117/330172
Document typeArticle
Defense date2020-10-07
PublisherSpringer
Rights accessOpen Access
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Abstract
This paper presents an adaptive strategy for phase-field simulations with transition to fracture. The phase-field equations are solved only in small subdomains around crack tips to determine propagation, while an XFEM discretization is used in the rest of the domain to represent sharp cracks, enabling to use a coarser discretization and therefore reducing the computational cost. Crack-tip subdomains move as cracks propagate in a fully automatic process. The same computational mesh is used during all the simulation, with an h-refined approximation in the elements in the crack-tip subdomains. Continuity of the displacement between the refined subdomains and the XFEM region is imposed in weak form via Nitsche’s method. The robustness of the strategy is shown for some numerical examples in 2D and 3D, including branching and coalescence tests.
Description
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-020-01929-8
CitationMuixi, A. [et al.]. A combined XFEM phase-field computational model for crack growth without remeshing. "Computational mechanics", 7 Octubre 2020,
ISSN0178-7675
Publisher versionhttps://link.springer.com/article/10.1007%2Fs00466-020-01929-8
Other identifiershttps://arxiv.org/pdf/2006.03617.pdf
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