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An extended/generalized phase-field finite element method for crack growth with global-local enrichment

Publication ,  Journal Article
Geelen, R; Plews, J; Tupek, M; Dolbow, J
Published in: International Journal for Numerical Methods in Engineering
June 15, 2020

An extended/generalized finite element method (XFEM/GFEM) for simulating quasistatic crack growth based on a phase-field method is presented. The method relies on approximations to solutions associated with two different scales: a global scale, that is, structural and discretized with a coarse mesh, and a local scale encapsulating the fractured region, that is, discretized with a fine mesh. A stable XFEM/GFEM is employed to embed the displacement and damage fields at the global scale. The proposed method accommodates approximation spaces that evolve between load steps, while preserving a fixed background mesh for the structural problem. In addition, a prediction-correction algorithm is employed to facilitate the dynamic evolution of the confined crack regions within a load step. Several numerical examples of benchmark problems in two- and three-dimensional quasistatic fracture are provided to demonstrate the approach.

Duke Scholars

Published In

International Journal for Numerical Methods in Engineering

DOI

EISSN

1097-0207

ISSN

0029-5981

Publication Date

June 15, 2020

Volume

121

Issue

11

Start / End Page

2534 / 2557

Related Subject Headings

  • Applied Mathematics
  • 40 Engineering
  • 09 Engineering
 

Citation

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Geelen, R., Plews, J., Tupek, M., & Dolbow, J. (2020). An extended/generalized phase-field finite element method for crack growth with global-local enrichment. International Journal for Numerical Methods in Engineering, 121(11), 2534–2557. https://doi.org/10.1002/nme.6318
Geelen, R., J. Plews, M. Tupek, and J. Dolbow. “An extended/generalized phase-field finite element method for crack growth with global-local enrichment.” International Journal for Numerical Methods in Engineering 121, no. 11 (June 15, 2020): 2534–57. https://doi.org/10.1002/nme.6318.
Geelen R, Plews J, Tupek M, Dolbow J. An extended/generalized phase-field finite element method for crack growth with global-local enrichment. International Journal for Numerical Methods in Engineering. 2020 Jun 15;121(11):2534–57.
Geelen, R., et al. “An extended/generalized phase-field finite element method for crack growth with global-local enrichment.” International Journal for Numerical Methods in Engineering, vol. 121, no. 11, June 2020, pp. 2534–57. Scopus, doi:10.1002/nme.6318.
Geelen R, Plews J, Tupek M, Dolbow J. An extended/generalized phase-field finite element method for crack growth with global-local enrichment. International Journal for Numerical Methods in Engineering. 2020 Jun 15;121(11):2534–2557.
Journal cover image

Published In

International Journal for Numerical Methods in Engineering

DOI

EISSN

1097-0207

ISSN

0029-5981

Publication Date

June 15, 2020

Volume

121

Issue

11

Start / End Page

2534 / 2557

Related Subject Headings

  • Applied Mathematics
  • 40 Engineering
  • 09 Engineering