Validation of a 3-D adaptive stable generalized/eXtended finite element method for mixed-mode brittle fracture propagation

In this paper, a Stable Generalized/eXtended Finite Element Method (SGFEM) is combined with mesh adaptivity for the robust and computationally efficient simulation of mixed-mode brittle fracture propagation. Both h -refinement around the fracture front and p -enrichment of the analysis domain are us...

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Veröffentlicht in:	International journal of fracture Jg. 225; H. 2; S. 129 - 152
Hauptverfasser:	Mukhtar, Faisal M., Alves, Phillipe D., Duarte, C. Armando
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Dordrecht Springer Netherlands 01.10.2020 Springer Nature B.V
Schlagworte:	Automotive Engineering Back propagation Brittle fracture Characterization and Evaluation of Materials Chemistry and Materials Science Civil Engineering Classical Mechanics Computational efficiency Computer simulation Crack opening displacement Crack propagation Criteria Finite element analysis Finite element method Fracture mechanics Linear elastic fracture mechanics Materials Science Mechanical Engineering Original Paper Propagation Propagation modes Generalized FEM Validation Brittle fracture EXtended FEM Mixed-mode Mesh adaptivity Fracture propagation
ISSN:	0376-9429, 1573-2673
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Abstract	In this paper, a Stable Generalized/eXtended Finite Element Method (SGFEM) is combined with mesh adaptivity for the robust and computationally efficient simulation of mixed-mode brittle fracture propagation. Both h -refinement around the fracture front and p -enrichment of the analysis domain are used to control discretization errors. A Linear Elastic Fracture Mechanics (LEFM) model based on Griffith’s criterion is adopted. LEFM scaling relations are used at each fracture propagation step to back calculate SIFs that meet Griffith’s criterion. As a result, no iterations are necessary to find loading scaling parameters or fracture size that meets Griffith’s criterion. The method is validated against several experimental data sets for mode I and mode I+II fracture propagation problems. Very good agreement between SGFEM and experimental results is observed. These include fracture path, Crack Opening Displacement (COD), and load and fracture length versus COD curves. The computational efficiency of the method is also assessed.
AbstractList	In this paper, a Stable Generalized/eXtended Finite Element Method (SGFEM) is combined with mesh adaptivity for the robust and computationally efficient simulation of mixed-mode brittle fracture propagation. Both h-refinement around the fracture front and p-enrichment of the analysis domain are used to control discretization errors. A Linear Elastic Fracture Mechanics (LEFM) model based on Griffith’s criterion is adopted. LEFM scaling relations are used at each fracture propagation step to back calculate SIFs that meet Griffith’s criterion. As a result, no iterations are necessary to find loading scaling parameters or fracture size that meets Griffith’s criterion. The method is validated against several experimental data sets for mode I and mode I+II fracture propagation problems. Very good agreement between SGFEM and experimental results is observed. These include fracture path, Crack Opening Displacement (COD), and load and fracture length versus COD curves. The computational efficiency of the method is also assessed. In this paper, a Stable Generalized/eXtended Finite Element Method (SGFEM) is combined with mesh adaptivity for the robust and computationally efficient simulation of mixed-mode brittle fracture propagation. Both h -refinement around the fracture front and p -enrichment of the analysis domain are used to control discretization errors. A Linear Elastic Fracture Mechanics (LEFM) model based on Griffith’s criterion is adopted. LEFM scaling relations are used at each fracture propagation step to back calculate SIFs that meet Griffith’s criterion. As a result, no iterations are necessary to find loading scaling parameters or fracture size that meets Griffith’s criterion. The method is validated against several experimental data sets for mode I and mode I+II fracture propagation problems. Very good agreement between SGFEM and experimental results is observed. These include fracture path, Crack Opening Displacement (COD), and load and fracture length versus COD curves. The computational efficiency of the method is also assessed.
Author	Duarte, C. Armando Alves, Phillipe D. Mukhtar, Faisal M.
Author_xml	– sequence: 1 givenname: Faisal M. orcidid: 0000-0001-5276-4828 surname: Mukhtar fullname: Mukhtar, Faisal M. email: faisalmu@kfupm.edu.sa organization: Dept. of Civil and Env. Eng., King Fahd University of Petroleum & Minerals – sequence: 2 givenname: Phillipe D. surname: Alves fullname: Alves, Phillipe D. organization: Dept. of Civil and Env. Eng., University of Illinois at Urbana-Champaign – sequence: 3 givenname: C. Armando orcidid: 0000-0002-0048-0679 surname: Duarte fullname: Duarte, C. Armando organization: Dept. of Civil and Env. Eng., University of Illinois at Urbana-Champaign
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Keywords	Generalized FEM Validation Brittle fracture EXtended FEM Mixed-mode Mesh adaptivity Fracture propagation
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Snippet	In this paper, a Stable Generalized/eXtended Finite Element Method (SGFEM) is combined with mesh adaptivity for the robust and computationally efficient...
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SubjectTerms	Automotive Engineering Back propagation Brittle fracture Characterization and Evaluation of Materials Chemistry and Materials Science Civil Engineering Classical Mechanics Computational efficiency Computer simulation Crack opening displacement Crack propagation Criteria Finite element analysis Finite element method Fracture mechanics Linear elastic fracture mechanics Materials Science Mechanical Engineering Original Paper Propagation Propagation modes
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Title	Validation of a 3-D adaptive stable generalized/eXtended finite element method for mixed-mode brittle fracture propagation
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