An eXtended Finite Element Method implementation in COMSOL Multiphysics: Solid Mechanics
This paper presents the implementation of the eXtended Finite Element Method (XFEM) in the general-purpose commercial software COMSOL Multiphysics for the first time. An enrichment strategy is proposed, consistent with the structure of the software. To this end, for each set of enrichment functions,...
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| Published in: | Finite elements in analysis and design Vol. 202; p. 103707 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Amsterdam
Elsevier B.V
01.05.2022
Elsevier BV |
| Subjects: | |
| ISSN: | 0168-874X, 1872-6925 |
| Online Access: | Get full text |
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| Abstract | This paper presents the implementation of the eXtended Finite Element Method (XFEM) in the general-purpose commercial software COMSOL Multiphysics for the first time. An enrichment strategy is proposed, consistent with the structure of the software. To this end, for each set of enrichment functions, an additional Solid Mechanics module is incorporated into the numerical framework, coupled with compatible modifications to the internal variables. The Linear Elastic Fracture Mechanics (LEFM) is exclusively adopted for the crack analysis. The model pre-processing, level set update, stress intensity factor calculation and crack propagation analysis are conducted by employing COMSOL’s built-in features in conjunction with external MATLAB functions through COMSOL LiveLink. All implementational aspects and suggested remedies for the treatment of enriched elements, framework setup, evaluation of stress intensity factors, and numerical integration are described in detail. The accuracy and robustness of the proposed method are examined by several numerical examples, including mixed-mode crack propagation in 2D domains as well as stationary planar fractures in 3D settings. The results represent excellent agreement with available analytical, numerical and experimental observations in the literature.
•XFEM implementation in COMSOL Multiphysics is proposed for the first time.•The proposed XFEM enrichment procedure is straight-forward and simple to follow.•The developed model is explored and validated versus a range of benchmark problems. |
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| AbstractList | This paper presents the implementation of the eXtended Finite Element Method (XFEM) in the general-purpose commercial software COMSOL Multiphysics for the first time. An enrichment strategy is proposed, consistent with the structure of the software. To this end, for each set of enrichment functions, an additional Solid Mechanics module is incorporated into the numerical framework, coupled with compatible modifications to the internal variables. The Linear Elastic Fracture Mechanics (LEFM) is exclusively adopted for the crack analysis. The model pre-processing, level set update, stress intensity factor calculation and crack propagation analysis are conducted by employing COMSOL’s built-in features in conjunction with external MATLAB functions through COMSOL LiveLink. All implementational aspects and suggested remedies for the treatment of enriched elements, framework setup, evaluation of stress intensity factors, and numerical integration are described in detail. The accuracy and robustness of the proposed method are examined by several numerical examples, including mixed-mode crack propagation in 2D domains as well as stationary planar fractures in 3D settings. The results represent excellent agreement with available analytical, numerical and experimental observations in the literature.
•XFEM implementation in COMSOL Multiphysics is proposed for the first time.•The proposed XFEM enrichment procedure is straight-forward and simple to follow.•The developed model is explored and validated versus a range of benchmark problems. This paper presents the implementation of the eXtended Finite Element Method (XFEM) in the general-purpose commercial software COMSOL Multiphysics for the first time. An enrichment strategy is proposed, consistent with the structure of the software. To this end, for each set of enrichment functions, an additional Solid Mechanics module is incorporated into the numerical framework, coupled with compatible modifications to the internal variables. The Linear Elastic Fracture Mechanics (LEFM) is exclusively adopted for the crack analysis. The model pre-processing, level set update, stress intensity factor calculation and crack propagation analysis are conducted by employing COMSOL's built-in features in conjunction with external MATLAB functions through COMSOL LiveLink. All implementational aspects and suggested remedies for the treatment of enriched elements, framework setup, evaluation of stress intensity factors, and numerical integration are described in detail. The accuracy and robustness of the proposed method are examined by several numerical examples, including mixed-mode crack propagation in 2D domains as well as stationary planar fractures in 3D settings. The results represent excellent agreement with available analytical, numerical and experimental observations in the literature. |
| ArticleNumber | 103707 |
| Author | Vahab, Mohammad Broumand, Pooyan Jafari, Ahmad Khalili, Nasser |
| Author_xml | – sequence: 1 givenname: Ahmad surname: Jafari fullname: Jafari, Ahmad organization: School of Civil and Environmental Engineering, The University of New South Wales, Sydney 2052, Australia – sequence: 2 givenname: Pooyan orcidid: 0000-0001-8769-4962 surname: Broumand fullname: Broumand, Pooyan organization: Department of Civil and Environmental Engineering, Shiraz University, Shiraz, Iran – sequence: 3 givenname: Mohammad orcidid: 0000-0002-4802-1535 surname: Vahab fullname: Vahab, Mohammad email: m.vahab@unsw.edu.au organization: School of Civil and Environmental Engineering, The University of New South Wales, Sydney 2052, Australia – sequence: 4 givenname: Nasser surname: Khalili fullname: Khalili, Nasser organization: School of Civil and Environmental Engineering, The University of New South Wales, Sydney 2052, Australia |
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| Keywords | COMSOL Multiphysics Fracture propagation Crack analysis XFEM |
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| SubjectTerms | COMSOL Multiphysics Crack analysis Crack propagation Enrichment Finite element analysis Finite element method Fracture mechanics Fracture propagation Linear elastic fracture mechanics Mechanics Numerical integration Propagation modes Robustness (mathematics) Software Solid mechanics Stress intensity factors Stress propagation XFEM |
| Title | An eXtended Finite Element Method implementation in COMSOL Multiphysics: Solid Mechanics |
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