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**Cracking node method for dynamic fracture with finite elements.**
*(English)*
Zbl 1155.74415

Summary: A new method for modeling discrete cracks based on the extended finite element method is described. In the method, the growth of the actual crack is tracked and approximated with contiguous discrete crack segments that lie on finite element nodes and span only two adjacent elements. The method can deal with complicated fracture patterns because it needs no explicit representation of the topology of the actual crack path. A set of effective rules for injection of crack segments is presented so that fracture behavior beginning from arbitrary crack nucleations to macroscopic crack propagation is seamlessly modeled. The effectiveness of the method is demonstrated with several dynamic fracture problems that involve complicated crack patterns such as fragmentation and crack branching.

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\textit{J.-H. Song} and \textit{T. Belytschko}, Int. J. Numer. Methods Eng. 77, No. 3, 360--385 (2009; Zbl 1155.74415)

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