A finite element method for crack growth without remeshing

Nicolas Mo�s; John E. Dolbow; Ted Belytschko · International Journal for Numerical Methods in Engineering · 1999

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Author / responsible party

Nicolas Mo�s; John E. Dolbow; Ted Belytschko

Publisher

International Journal for Numerical Methods in Engineering

Year

1999

Language

English

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An improvement of a new technique for modelling cracks in the finite element framework is presented. A standard displacement-based approximation is enriched near a crack by incorporating both discontinuous fields and the near tip asymptotic fields through a partition of unity method. A methodology that constructs the enriched approximation from the interaction of the crack geometry with the mesh is developed. This technique allows the entire crack to be represented independently of the mesh, and so remeshing is not necessary to model crack growth. Numerical experiments are provided to demonstrate the utility and robustness of the proposed technique. Copyright © 1999 John Wiley & Sons, Ltd.

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APA 7

Mo�s, N, Dolbow, J. E, & Belytschko, T. (1999). A finite element method for crack growth without remeshing. https://doi.org/10.1002/(sici)1097-0207(19990910)46:1<131:aid-nme726>3.0.co;2-j

MLA

Mo�s, Nicolas, et al. "A finite element method for crack growth without remeshing." 1999. https://doi.org/10.1002/(sici)1097-0207(19990910)46:1<131:aid-nme726>3.0.co;2-j.

Chicago

Mo�s, Nicolas, John E. Dolbow, and Ted Belytschko. 1999. "A finite element method for crack growth without remeshing.". https://doi.org/10.1002/(sici)1097-0207(19990910)46:1<131:aid-nme726>3.0.co;2-j.

Harvard

Mo�s, N, Dolbow, J. E. and Belytschko, T. 1999, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, available at: https://doi.org/10.1002/(sici)1097-0207(19990910)46:1<131:aid-nme726>3.0.co;2-j [Accessed 7 Aug. 2026].

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Title: A finite element method for crack growth without remeshing

Author / contributors: Nicolas Mo�s; John E. Dolbow; Ted Belytschko

Publisher: International Journal for Numerical Methods in Engineering

Publication year: 1999

Language: English

Subjects

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Partition of unity; Finite element method; Robustness (evolution); Extended finite element method; Polygon mesh; Partition (number theory); Structural engineering; Displacement (psychology); Mathematics; Computer science; Applied mathematics; Geometry