断裂分析的小波数值方法

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基金项目: 国家自然科学基金资助项目(19602014);武汉大学自强科技创新基金资助项目;青年学术骨干基金资助项目

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

摘要: 利用小波具有的良好局部化特性,用小波函数对位移场进行逼近,建立了小波数值计算格式,模拟了裂纹尖端的奇异性问题.算例求出了裂纹尖端的应力强度因子,数值结果显示出该方法具有良好的数值精度
- 小波数值计算格式 /
- 尺度函数 /
- 应力强度因子 /
- 奇异性
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.
- wavelet-numerical algorithm /
- scaling function /
- stress intensity factor /
- singularity

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