| 非均匀材料反平面裂纹问题的特征函数 |
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| 引用本文： | 戴耀,张磊,张鹏,李世民,刘军锋,种肖.非均匀材料反平面裂纹问题的特征函数[J].中国科学:物理学 力学 天文学,2012(8):852-860. |
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| 作者姓名： | 戴耀 张磊 张鹏 李世民 刘军锋 种肖 |
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| 作者单位： | 装甲兵工程学院,北京100072 |
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| 基金项目： | 国家自然科学基金资助项目（批准号：11172332） |
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| 摘 要： | 针对非均匀材料的线弹性断裂力学基本理论问题，从理论上探讨了将均匀材料的特征函数结构即Williams解推广到非均匀材料的合理性；并以反平面问题为例，给出了该问题任意阶特征函数的定解方程；进一步给出了非均匀材料反平面问题的Williams型解．该特征函数解从理论上揭示了非均匀性对裂纹尖端场结构的影响．
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| 关 键 词： | 特征函数 非均匀材料 Williams解 裂纹尖端场 |
The eigen-functions of anti-plane crack problems in non-homogeneous materials |
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| DAI Yao,ZHANG Lei,ZHANG Peng,LI ShiMin,LIU JunFeng ＆ CHONG Xiao.The eigen-functions of anti-plane crack problems in non-homogeneous materials[J].Scientia Sinica Pysica,Mechanica & Astronomica,2012(8):852-860. |
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| Authors: | DAI Yao ZHANG Lei ZHANG Peng LI ShiMin LIU JunFeng ＆ CHONG Xiao |
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| Institution: | Academy of Armored Force Engineering, Beijng 100072, China |
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| Abstract: | For the basic elastic fracture mechanics problems, we discussed the reasonability of introducing the Williams＇ solution of homogeneous materials to non-homogeneous materials in this paper. Taking the anti-plane crack problem as an example, we give its governing equations for arbitrary order eigen-function, and provide the Williams＇ solution for anti plane crack problem in non-homogeneous materials. This eigen-function theoretically reveals the effect of non-homogeneity on the structure of crack tip field. |
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| Keywords: | eigen-function non-homogeneous materials Williams solution crack-tip field |
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