Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (10): 1139-1144.

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WAVELET-NUMERICAL METHOD IN CRACK ANALYSIS

SHEN Yuan-tong1, YI Xu-ming2   

  1. 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:1999-09-13 Revised:2000-04-18 Online:2000-10-18 Published:2000-10-18
  • Supported by:
    the National Natural Science Foundation of China(19602014);Innvotion and Backbone Foundation of Wuhan University

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.

Key words: wavelet-numerical algorithm, scaling function, stress intensity factor, singularity

2010 MSC Number: 

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