An accurate and efficient algorithm for the simulation of fatigue crack growth based on XFEM and combined approximations

•XFEM and CA are combined to deal with fatigue growth analysis.•Accurate results can be obtained using only a small number of basic vectors.•The computational effort savings of presented algorithm is significant. This study aims to reduce the computational cost in the simulation of fatigue crack gro...

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Bibliographic Details
Published inApplied Mathematical Modelling Vol. 55; pp. 600 - 615
Main Authors Feng, S.Z., Li, W.
Format Journal Article
LanguageEnglish
Published New York Elsevier Inc 01.03.2018
Elsevier BV
Subjects
Algorithms
Approximation
Combined approximations
Computational mathematics
Computer simulation
Crack propagation
Fatigue crack growth
Fatigue failure
Finite element analysis
Finite element method
Fracture mechanics
Studies
XFEM
Fatigue crack growth
Combined approximations
XFEM
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Summary:•XFEM and CA are combined to deal with fatigue growth analysis.•Accurate results can be obtained using only a small number of basic vectors.•The computational effort savings of presented algorithm is significant. This study aims to reduce the computational cost in the simulation of fatigue crack growth process. Extended finite element method and combined approximations (CA) are integrated to form an efficient algorithm for such analysis. In the CA approach, binomial series are used as high quality basis vectors for the reduced basis expression and then crack propagation path can be predicted without solving the complete set of system equations. The validity of presented algorithm is fully investigated through several numerical examples. From these results, it is shown that the presented algorithm is very accurate and can save huge amounts of computational effort.
ISSN:0307-904X
1088-8691
0307-904X
DOI:10.1016/j.apm.2017.11.015