SHEN Yuan-tong, YI Xu-ming. Wavelet-Numerical Method in Crack Analysis[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1028-1032.
Citation:
SHEN Yuan-tong, YI Xu-ming. Wavelet-Numerical Method in Crack Analysis[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1028-1032.
SHEN Yuan-tong, YI Xu-ming. Wavelet-Numerical Method in Crack Analysis[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1028-1032.
Citation:
SHEN Yuan-tong, YI Xu-ming. Wavelet-Numerical Method in Crack Analysis[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1028-1032.
Wavelet-Numerical Method in Crack Analysis
1.
Department of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P. R. China;
2.
School of Mathematics Sciences, Wuhan University, Wuhan 430072, P. R. China
Received Date: 1999-09-13
Rev Recd Date:
2000-04-18
Publish Date:
2000-10-15
Abstract
Properties of wavelet of good localization were used to approximate displacement fields near the crack tip. Wavelet-numerical algorithm and simulation singularity problem of the crack tip were established. As an example, stress intensity factors were obtained. The numerical results show that this algorithm has good precision.
References
[1]
丁遂栋.断裂力学[M].北京:机械工业出版社,19 97.
[2]
张行.断裂力学中的应力强度因子的解法[M].北京:国防工业出版社,1992.
[3]
Barsoum R S.On the use of isoparametric finite elements in linear fracture mechanics[J].Internal J Numer Methods Eng,1976,10(1):25-37.
[4]
Mallat S,Wen L H.Singularity Detect and processing with wavelets[J].IEEE Transaction on Information Theory,1992,38(2):61 7-634.
[5]
沈远彤,叶碧泉,羿旭明.用小波-配点法求解一类有奇异性的微分方程[J].数学杂志,1997,17(4):517-521.
[6]
Chui C K.A Introduction to Wavelet[M].Boston:Academic Press Inc,1992.
[7]
胡海昌.弹性力学的变分原理及其应用[M].北京:科学出版社,1980.
Proportional views