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

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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Bibliographic Details
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
Description
Summary: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.
ISSN:2076-3417

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