Computation of Plane Crack Stress Intensity Factors Using Trigonometric Wavelet Finite Element Method
Computation of Plane Crack Stress Intensity Factors Using Trigonometric Wavelet Finite Element Method
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DOI：
10.1111/j.1460-2695.2011.01626.x
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发表时间：
2012-08
影响因子：
3.7
通讯作者：
W.-Y. He;W. Ren;Zhenjun Yang
中科院分区：
文献类型：
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作者：
W.-Y. He;W. Ren;Zhenjun Yang
三角小波既具有三角函数良好的逼近特性，又具有小波的多分辨率、局部性等特点。在本研究中，它被用作有限元（FE）方法中的插值函数。基于最小势能原理推导了弹性平面问题的有限元列式。基于位移外推法计算了平面应力裂纹问题的应力强度因子。为了提高计算精度，还采用了小波分层和多分辨率方法。数值算例表明，所提出的三角小波有限元列式对于用少量单元计算应力强度因子是有效的。小波分层和小波多分辨率方法都提高了计算精度。可以根据要解决的问题来选择。
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.