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Open AccessArticle

Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review

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Institute of Structural Engineering, D-BAUG, 8093 ETH Zurich, Switzerland
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Centre for Structural Engineering and Informatics, Faculty of Engineering, The University of Nottingham, NG7 2RD Nottingham, UK
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Centre for Additive Manufacturing, Faculty of Engineering, The University of Nottingham, NG7 2RD Nottingham, UK
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(12), 2436; https://doi.org/10.3390/app9122436
Received: 31 March 2019 / Revised: 21 May 2019 / Accepted: 23 May 2019 / Published: 14 June 2019
(This article belongs to the Special Issue Computational Methods for Fracture)
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. View Full-Text
Keywords: LEFM; XFEM/GFEM; SBFEM; phase field LEFM; XFEM/GFEM; SBFEM; phase field
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MDPI and ACS Style

Egger, A.; Pillai, U.; Agathos, K.; Kakouris, E.; Chatzi, E.; Aschroft, I.A.; Triantafyllou, S.P. Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review. Appl. Sci. 2019, 9, 2436.

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