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