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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Bibliographic Details
Published in:International journal of fracture Vol. 225; no. 2; pp. 129 - 152
Main Authors: Mukhtar, Faisal M., Alves, Phillipe D., Duarte, C. Armando
Format: Journal Article
Language:English
Published: Dordrecht Springer Netherlands 01.10.2020
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:0376-9429
1573-2673
DOI:10.1007/s10704-020-00469-9