| 断裂分析的小波数值方法 |
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| 引用本文： | 沈远彤,羿旭明.断裂分析的小波数值方法[J].应用数学和力学,2000,21(10):1028-1032. |
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| 作者姓名： | 沈远彤 羿旭明 |
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| 作者单位： | 1.中国地质大学数理系, 武汉 430074; |
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| 基金项目： | 国家自然科学基金资助项目!(196 0 2 0 14)，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 |
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| 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
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| 关 键 词： | 小波数值计算格式 尺度函数 应力强度因子 奇异性 |
| 收稿时间： | 1999-09-13 |
| 修稿时间： | 1999-09-13 |
Wavelet-Numerical Method in Crack Analysis |
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| SHEN Yuan-tong,YI Xu-ming.Wavelet-Numerical Method in Crack Analysis[J].Applied Mathematics and Mechanics,2000,21(10):1028-1032. |
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| Authors: | SHEN Yuan-tong YI Xu-ming |
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| Institution: | 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 |
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| 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. |
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| Keywords: | wavelet_numerical algorithm scaling function stress intensity factor singularity |
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