Computation of Plane Crack Stress Intensity Factors Using Trigonometric Wavelet Finite Element Method

WY He, WX Ren, James Yang

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The trigonometric wavelet has both good approximation characteristics of trigonometric function and multi‐resolution, local characteristics of wavelet. It is used in this study as interpolation functions in the finite element (FE) method. FE formulations for elastic plane problems are derived based on the principle of minimum potential energy. Stress intensity factors of plane stress problems with cracks are computed based on the displacement extrapolation technique. The wavelet hierarchical and multi‐resolution approaches are also used to improve accuracy of calculations. Numerical examples have shown that the proposed trigonometric wavelet finite element formulations are effective for computing the stress intensity factors with a small number of elements. Both wavelet hierarchical and wavelet multi‐resolution methods lead to improved computational accuracy. They can be selected according to the problems to be solved.
Original languageEnglish
Pages (from-to)732-741
Number of pages10
JournalFatigue and Fracture of Engineering Materials and Structures
Volume35
Issue number8
Early online date22 Sep 2011
DOIs
Publication statusPublished - Aug 2012
Externally publishedYes

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Stress intensity factors
Cracks
Finite element method
Potential energy
Extrapolation
Interpolation

Cite this

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title = "Computation of Plane Crack Stress Intensity Factors Using Trigonometric Wavelet Finite Element Method",
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AU - He, WY

AU - Ren, WX

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N2 - The trigonometric wavelet has both good approximation characteristics of trigonometric function and multi‐resolution, local characteristics of wavelet. It is used in this study as interpolation functions in the finite element (FE) method. FE formulations for elastic plane problems are derived based on the principle of minimum potential energy. Stress intensity factors of plane stress problems with cracks are computed based on the displacement extrapolation technique. The wavelet hierarchical and multi‐resolution approaches are also used to improve accuracy of calculations. Numerical examples have shown that the proposed trigonometric wavelet finite element formulations are effective for computing the stress intensity factors with a small number of elements. Both wavelet hierarchical and wavelet multi‐resolution methods lead to improved computational accuracy. They can be selected according to the problems to be solved.

AB - The trigonometric wavelet has both good approximation characteristics of trigonometric function and multi‐resolution, local characteristics of wavelet. It is used in this study as interpolation functions in the finite element (FE) method. FE formulations for elastic plane problems are derived based on the principle of minimum potential energy. Stress intensity factors of plane stress problems with cracks are computed based on the displacement extrapolation technique. The wavelet hierarchical and multi‐resolution approaches are also used to improve accuracy of calculations. Numerical examples have shown that the proposed trigonometric wavelet finite element formulations are effective for computing the stress intensity factors with a small number of elements. Both wavelet hierarchical and wavelet multi‐resolution methods lead to improved computational accuracy. They can be selected according to the problems to be solved.

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