In this paper, 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.
Geelen, Rudy, 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, Feb. 2020. https://doi.org/10.1002/nme.6318
Geelen, Rudy, Plews, Julia, Tupek, Michael, & Dolbow, John (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). https://doi.org/10.1002/nme.6318
Geelen, Rudy, Plews, Julia, Tupek, Michael, et al., "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 (2020), https://doi.org/10.1002/nme.6318
@article{osti_1607510,
author = {Geelen, Rudy and Plews, Julia and Tupek, Michael and Dolbow, John},
title = {An extended/generalized phase-field finite element method for crack growth with global-local enrichment},
annote = {In this paper, 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.},
doi = {10.1002/nme.6318},
url = {https://www.osti.gov/biblio/1607510},
journal = {International Journal for Numerical Methods in Engineering},
issn = {ISSN 0029-5981},
number = {11},
volume = {121},
place = {United States},
publisher = {Wiley},
year = {2020},
month = {02}}
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1607510
Alternate ID(s):
OSTI ID: 1601915 OSTI ID: 1618081
Report Number(s):
SAND--2019-12217J; SAND--2020-0230J; 681805
Journal Information:
International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering Journal Issue: 11 Vol. 121; ISSN 0029-5981