Discrete and phase field methods for linear elastic fracture mechanics: a comparative study and state-of-the-art review

Egger, Adrian; Pillai, Udit; Agathos, Konstantinos; Kakouris, Emmanouil; Chatzi, Eleni; Ashcroft, Ian A.; Triantafyllou, Savvas P.

Abstract

© 2019 by the authors. Three alternative approaches, namely the extended/generalized finite element method (XFEM/GFEM), the scaled boundary finite element method (SBFEM) and phase field methods, are surveyed and compared in the context of linear elastic fracture mechanics (LEFM). The purpose of the study is to provide a critical literature review, emphasizing on the mathematical, conceptual and implementation particularities that lead to the specific advantages and disadvantages of each method, as well as to offer numerical examples that help illustrate these features.

Citation

Egger, A., Pillai, U., Agathos, K., Kakouris, E., Chatzi, E., Ashcroft, I. A., & Triantafyllou, S. P. (2019). Discrete and phase field methods for linear elastic fracture mechanics: a comparative study and state-of-the-art review. Applied Sciences, 9(12), Article 2436. https://doi.org/10.3390/app9122436

• Journal Article Type: Article
• Acceptance Date: May 24, 2019
• Online Publication Date: Jun 14, 2019
• Publication Date: Jun 14, 2019
• Deposit Date: May 30, 2019
• Publicly Available Date: May 30, 2019
• Journal: Applied Sciences
• Electronic ISSN: 2076-3417
• Publisher: MDPI
• Peer Reviewed: Peer Reviewed
• Volume: 9
• Issue: 12
• Article Number: 2436
• DOI: https://doi.org/10.3390/app9122436
• Keywords: LEFM; XFEM/GFEM; SBFEM; Phase field
• Public URL: https://nottingham-repository.worktribe.com/output/2110060
• Publisher URL: https://www.mdpi.com/2076-3417/9/12/2436