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

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 c...

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Main Authors:	Adrian Egger, Udit Pillai, Konstantinos Agathos, Emmanouil Kakouris, Eleni Chatzi, Ian A. Aschroft, Savvas P. Triantafyllou
Format:	Article
Language:	English
Published:	MDPI AG 2019-06-01
Series:	Applied Sciences
Subjects:	LEFM XFEM/GFEM SBFEM phase field
Online Access:	https://www.mdpi.com/2076-3417/9/12/2436

id	doaj-b390faba4b754012b3a4ce9a993b55c6
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spelling	doaj-b390faba4b754012b3a4ce9a993b55c62020-11-24T21:21:13ZengMDPI AGApplied Sciences2076-34172019-06-01912243610.3390/app9122436app9122436Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art ReviewAdrian Egger0Udit Pillai1Konstantinos Agathos2Emmanouil Kakouris3Eleni Chatzi4Ian A. Aschroft5Savvas P. Triantafyllou6Institute of Structural Engineering, D-BAUG, 8093 ETH Zurich, SwitzerlandCentre for Structural Engineering and Informatics, Faculty of Engineering, The University of Nottingham, NG7 2RD Nottingham, UKInstitute of Structural Engineering, D-BAUG, 8093 ETH Zurich, SwitzerlandCentre for Structural Engineering and Informatics, Faculty of Engineering, The University of Nottingham, NG7 2RD Nottingham, UKInstitute of Structural Engineering, D-BAUG, 8093 ETH Zurich, SwitzerlandCentre for Additive Manufacturing, Faculty of Engineering, The University of Nottingham, NG7 2RD Nottingham, UKCentre for Structural Engineering and Informatics, Faculty of Engineering, The University of Nottingham, NG7 2RD Nottingham, UKThree 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.https://www.mdpi.com/2076-3417/9/12/2436LEFMXFEM/GFEMSBFEMphase field
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Adrian Egger Udit Pillai Konstantinos Agathos Emmanouil Kakouris Eleni Chatzi Ian A. Aschroft Savvas P. Triantafyllou
spellingShingle	Adrian Egger Udit Pillai Konstantinos Agathos Emmanouil Kakouris Eleni Chatzi Ian A. Aschroft Savvas P. Triantafyllou Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review Applied Sciences LEFM XFEM/GFEM SBFEM phase field
author_facet	Adrian Egger Udit Pillai Konstantinos Agathos Emmanouil Kakouris Eleni Chatzi Ian A. Aschroft Savvas P. Triantafyllou
author_sort	Adrian Egger
title	Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review
title_short	Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review
title_full	Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review
title_fullStr	Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review
title_full_unstemmed	Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review
title_sort	discrete and phase field methods for linear elastic fracture mechanics: a comparative study and state-of-the-art review
publisher	MDPI AG
series	Applied Sciences
issn	2076-3417
publishDate	2019-06-01
description	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.
topic	LEFM XFEM/GFEM SBFEM phase field
url	https://www.mdpi.com/2076-3417/9/12/2436
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Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review

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