@article{5ca5044b9bb24d0fa5b155cc8873d13a,
title = "High-order stable generalized/eXtended finite element approximations for accurate stress intensity factors",
abstract = "This paper investigates the accuracy and robustness of stress intensity factor (SIF) extraction using the p-Hierarchical Discontinuous Interpolant Stable Generalized Finite Element Method (pFEM-DSGFEM). This method is well-conditioned and optimally convergent for fracture mechanics problems if a proper enrichment strategy and mesh refinement are used. The method performs well when calculating global quantities such as strain energy, but its ability to capture local quantities such as SIFs has not yet been explored. pFEM-DSGFEM spaces are used to solve a variety of fracture mechanics problems and their solutions are used to extract SIFs with the Displacement Correlation Method (DCM). These numerical experiments show that pFEM-DSGFEM spaces provide highly accurate SIFs, even better than standard GFEM spaces, while being well-conditioned.",
keywords = "Condition number, Displacement correlation, GFEM, Stress intensity factors, XFEM",
author = "B. Mazurowski and Sanchez-Rivadeneira, {A. G.} and N. Shauer and Duarte, {C. A.}",
note = "Funding Information: The authors would like to thank Dr. P. O{\textquoteright}Hara from the U.S. Air Force Research Laboratory for the helpful advice and discussion during this research. Authors B. Mazurowski and C.A. Duarte gratefully acknowledge the partial support under contract number AF Sub OSU 60038238 provided by the Collaborative Center in Structural Sciences () at the Ohio State University, supported by the U.S. Air Force Research Laboratory . Author N. Shauer would like to thank the funding support from TechnipFMC Educational Fund Fellowship . Funding Information: The authors would like to thank Dr. P. O'Hara from the U.S. Air Force Research Laboratory for the helpful advice and discussion during this research. Authors B. Mazurowski and C.A. Duarte gratefully acknowledge the partial support under contract number AF Sub OSU 60038238 provided by the Collaborative Center in Structural Sciences (C2S2) at the Ohio State University, supported by the U.S. Air Force Research Laboratory. Author N. Shauer would like to thank the funding support from TechnipFMC Educational Fund Fellowship. Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",
year = "2021",
month = jan,
doi = "10.1016/j.engfracmech.2020.107308",
language = "English (US)",
volume = "241",
journal = "Engineering Fracture Mechanics",
issn = "0013-7944",
publisher = "Elsevier BV",
}