| 论Williams复特征展开式中主项的截断误差 |
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| 引用本文： | 周瑞忠,刘光廷.论Williams复特征展开式中主项的截断误差[J].福州大学学报(自然科学版),1986(2):89-100. |
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| 作者姓名： | 周瑞忠 刘光廷 |
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| 作者单位： | 福州大学土建系
教授(周瑞忠)，清华大学 福州大学名誉教授(刘光廷) |
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| 摘 要： | 本文通过定量计算说明：常用的裂缝尖端各应力分量表达式只考虑Ｗｉｌｌｉａｍｓ展开式的主项和 近似的坐标关系，因此，它只能在尖端大约裂纹长度的１／２０范围内适用，超过这一范围，截断误 差已达到不可容忍．以上精确的定量计算，不但有助于确定各应力分是表达式的适用范围，也有助于我们在研究 裂纹相互作用时参考。
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| 关 键 词： | 级数主项 复变函数 应力强度因子 |
THE ESTIMATION ACCURACY OF WILLIAMS PREMIER EXPANSION AS COMPARED WITH EXACT SOLUTION |
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| Zhou Ruizhong and Liu Guangting.THE ESTIMATION ACCURACY OF WILLIAMS PREMIER EXPANSION AS COMPARED WITH EXACT SOLUTION[J].Journal of Fuzhou University(Natural Science Edition),1986(2):89-100. |
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| Authors: | Zhou Ruizhong and Liu Guangting |
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| Institution: | Department of Civil Engineering |
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| Abstract: | By employing quantitative calculations, we discovered that the usual wi- lliams premier expansion, which considered only the order 1 and Its approa- ching coordioate relationship. can only be adaptable to tips within the range of 1/20 length of the crack Moreover, the errors are unacceptable. The results mentioned herein not only. help to estimate the components of stress, but also to provide useful reference to other studies. |
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| Keywords: | Premier Expansion Complex Function Stress Intensity Factors |
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