Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 732-741 |
| Number of pages | 10 |
| Journal | Fatigue and Fracture of Engineering Materials and Structures |
| Volume | 35 |
| Issue number | 8 |
| Early online date | 22 Sep 2011 |
| DOIs | |
| Publication status | Published - Aug 2012 |
| Externally published | Yes |
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Computation of Plane Crack Stress Intensity Factors Using Trigonometric Wavelet Finite Element Method. / He, WY; Ren, WX; Yang, James.
In: Fatigue and Fracture of Engineering Materials and Structures, Vol. 35, No. 8, 08.2012, p. 732-741.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Computation of Plane Crack Stress Intensity Factors Using Trigonometric Wavelet Finite Element Method
AU - He, WY
AU - Ren, WX
AU - Yang, James
PY - 2012/8
Y1 - 2012/8
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.
U2 - 10.1111/j.1460-2695.2011.01626.x
DO - 10.1111/j.1460-2695.2011.01626.x
M3 - Article
VL - 35
SP - 732
EP - 741
JO - Fatigue and Fracture of Engineering Materials and Structures
JF - Fatigue and Fracture of Engineering Materials and Structures
SN - 8756-758X
IS - 8
ER -