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

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Geelen, R; Plews, J; Tupek, M; Dolbow, J

Published Date

  • June 15, 2020

Published In

Volume / Issue

  • 121 / 11

Start / End Page

  • 2534 - 2557

Electronic International Standard Serial Number (EISSN)

  • 1097-0207

International Standard Serial Number (ISSN)

  • 0029-5981

Digital Object Identifier (DOI)

  • 10.1002/nme.6318

Citation Source

  • Scopus