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

被引：6
|
作者：
He, W. -Y. [1 ]
Ren, W. -X. [1 ,2 ]
Yang, Z. -J. [3 ]
机构：
[1] Cent S Univ, Dept Civil Engn, Changsha 410075, Hunan, Peoples R China
[2] Hefei Univ Technol, Dept Civil Engn, Hefei 230009, Anhui, Peoples R China
[3] Univ Liverpool, Sch Engn, Liverpool L69 3GH, Merseyside, England
来源：
FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES | 2012年 / 35卷 / 08期
基金：
英国工程与自然科学研究理事会;
关键词：
stress intensity factors; trigonometric wavelet; singularity; hierarchical; multi-resolution; B-SPLINE WAVELET; CONSTRUCTION;
D O I：
10.1111/j.1460-2695.2011.01626.x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
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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页码：732 / 741
页数：10
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