三维切口尖端应力应变场
The Expression of Stress and Strain at the Tip of Three Dimensional Notch
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摘要: 本文利用双重幂级数展开法分析三维切口尖端应力应变奇异性,通过切口边界条件导出切口特征方程,进而求得不同切口内角下特征值序列解答,最后推得切口尖端应力应变场。Abstract: The singularity of stress and strain at the tip of three-dimensional notch isanalysed by the power expansion method.the eigenquation of the notch is gainedthrough the boundary conditions of the notch, the eigenvalues under different innerangles of the notch are obtained, the expression of stress and strain at the tip of thenotch is finally derived.
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Key words:
- three-dimensional notch /
- singularity /
- fields of stress and strain
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[1] Lin,K.Y.and H,H,Hartmana,Numerical analysis of stress singularities at a bounded anisotropil wedge,EngineeringFracture Mechanics,32(1989),211-224. [2] Hartranft,R.J.and G.C.Sih,The use of eigenfunction eapaasions in the general solution of three dimensional crack Problems,Journal of Mathematics and Mechanics,19(1969),123-138. [3] 李英治、李敏华、柳春图、何明元,含表面裂纹三维体裂纹尖端应力应变场及应力强度因子计算,中国科学(A).8(1988),828-842. [4] 钱俊,切口尖端应力应变场与分区混合有限元法应用,倩华大学博士论文,(1990).
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