A novel multi-grid based reanalysis approach for efficient prediction of fatigue crack propagation

In order to model the fatigue crack propagation of engineering structures with high efficiency, a novel multi-grid (MG) reanalysis method is formulated in this study under the framework of the extended finite element method (XFEM). In the numerical approach, the MG is firstly used to establish conne...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2019-08, Vol.353, p.107-122
Main Authors: Feng, S.Z., Han, X.
Format: Article
Language:English
Subjects:
Algorithms
Crack propagation
Equilibrium equations
Fatigue failure
Finite element method
Fracture mechanics
Multi-grid
Nonlinear programming
Propagation
Reanalysis
XFEM
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Summary:In order to model the fatigue crack propagation of engineering structures with high efficiency, a novel multi-grid (MG) reanalysis method is formulated in this study under the framework of the extended finite element method (XFEM). In the numerical approach, the MG is firstly used to establish connections between the mesh with no crack and the meshes with crack. The transfer operators are constructed only in the initial MG analysis and will be reused in the crack propagation analysis. Then, the equilibrium equations of crack propagation can be efficiently solved through the MG iterations. Several numerical examples are investigated to verify the validity of this method and it is shown that the presented algorithm is very accurate and can efficiently reduce the computational cost. •MG reanalysis and XFEM are combined for fatigue crack growth analysis.•This algorithm can achieve high level of accuracy through MG iterations.•Huge amount of computational cost can be saved.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2019.05.001