A simple and robust Abaqus implementation of the phase field fracture method

The phase field fracture method is attracting significant interest. Phase field approaches have enabled predicting - on arbitrary geometries and dimensions - complex fracture phenomena such as crack branching, coalescence, deflection and nucleation. In this work, we present a simple and robust imple...

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Main Authors: Yousef Navidtehrani, Covadonga Betegón, Emilio Martínez-Pañeda
Format: Article
Language:English
Published: Elsevier 2021-06-01
Series:Applications in Engineering Science
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666496821000169
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author Yousef Navidtehrani
Covadonga Betegón
Emilio Martínez-Pañeda
author_facet Yousef Navidtehrani
Covadonga Betegón
Emilio Martínez-Pañeda
author_sort Yousef Navidtehrani
collection DOAJ
description The phase field fracture method is attracting significant interest. Phase field approaches have enabled predicting - on arbitrary geometries and dimensions - complex fracture phenomena such as crack branching, coalescence, deflection and nucleation. In this work, we present a simple and robust implementation of the phase field fracture method in the commercial finite element package Abaqus. The implementation exploits the analogy between the phase field evolution law and the heat transfer equation, enabling the use of Abaqus’ in-built features and circumventing the need for defining user elements. The framework is general, and is shown to accommodate different solution schemes (staggered and monolithic), as well as various constitutive choices for preventing damage under compression. The robustness and applicability of the numerical framework presented is demonstrated by addressing several 2D and 3D boundary value problems of particular interest. Focus is on the solution of paradigmatic case studies that are known to be particularly demanding from a convergence perspective. The results reveal that our phase field fracture implementation can be readily combined with other advanced computational features, such as contact, and deliver robust and precise solutions. The code developed can be downloaded from www.empaneda.com/codes.
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spelling doaj.art-f7fb9af95e0d4e4e8327f64b68ce33a52022-12-21T22:58:05ZengElsevierApplications in Engineering Science2666-49682021-06-016100050A simple and robust Abaqus implementation of the phase field fracture methodYousef Navidtehrani0Covadonga Betegón1Emilio Martínez-Pañeda2Department of Construction and Manufacturing Engineering, University of Oviedo, Gijón 33203, SpainDepartment of Construction and Manufacturing Engineering, University of Oviedo, Gijón 33203, SpainCorresponding author.; Department of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, UKThe phase field fracture method is attracting significant interest. Phase field approaches have enabled predicting - on arbitrary geometries and dimensions - complex fracture phenomena such as crack branching, coalescence, deflection and nucleation. In this work, we present a simple and robust implementation of the phase field fracture method in the commercial finite element package Abaqus. The implementation exploits the analogy between the phase field evolution law and the heat transfer equation, enabling the use of Abaqus’ in-built features and circumventing the need for defining user elements. The framework is general, and is shown to accommodate different solution schemes (staggered and monolithic), as well as various constitutive choices for preventing damage under compression. The robustness and applicability of the numerical framework presented is demonstrated by addressing several 2D and 3D boundary value problems of particular interest. Focus is on the solution of paradigmatic case studies that are known to be particularly demanding from a convergence perspective. The results reveal that our phase field fracture implementation can be readily combined with other advanced computational features, such as contact, and deliver robust and precise solutions. The code developed can be downloaded from www.empaneda.com/codes.http://www.sciencedirect.com/science/article/pii/S2666496821000169Phase field fractureAbaqusFractureFinite element analysisUser subroutines
spellingShingle Yousef Navidtehrani
Covadonga Betegón
Emilio Martínez-Pañeda
A simple and robust Abaqus implementation of the phase field fracture method
Applications in Engineering Science
Phase field fracture
Abaqus
Fracture
Finite element analysis
User subroutines
title A simple and robust Abaqus implementation of the phase field fracture method
title_full A simple and robust Abaqus implementation of the phase field fracture method
title_fullStr A simple and robust Abaqus implementation of the phase field fracture method
title_full_unstemmed A simple and robust Abaqus implementation of the phase field fracture method
title_short A simple and robust Abaqus implementation of the phase field fracture method
title_sort simple and robust abaqus implementation of the phase field fracture method
topic Phase field fracture
Abaqus
Fracture
Finite element analysis
User subroutines
url http://www.sciencedirect.com/science/article/pii/S2666496821000169
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