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首页> 外文期刊>Strength of Materials >MODE-I ELLIPTICAL CRACK IN AN INFINITE ELASTIC BODY. PART 1. CRACK-FACE DISPLACEMENT FOR THE POLYNOMIAL LAW OF LOADING
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MODE-I ELLIPTICAL CRACK IN AN INFINITE ELASTIC BODY. PART 1. CRACK-FACE DISPLACEMENT FOR THE POLYNOMIAL LAW OF LOADING

机译：无限弹性体内的MODE-I椭圆裂纹。第1部分。载荷多项式定律的裂纹面位移

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摘要

For a mode-I embedded elliptical crack in an infinite elastic body, we propose a modified procedure for the calculation of the weight function and stress intensity factor based on our earlier development. Analytical and numerical values of the stress intensity factor along the crack front have been obtained for different cases of the polynomial law of loading. We propose an approach to the determination of the crack-face displacements from the stress intensity factor values, in which the Rice energy-balance equation, Dyson's theorem, and the theory of crack translation in a nonuniform stress field are used. An expression of closed form for the elliptical crack-face displacement far a polynomial law of loading of any degree has been derived, which can be employed in solving three-dimensional problems of the elasticity theory for cracked bodies.
机译：对于无限弹性体中的I型嵌入椭圆形裂纹，我们根据我们的早期发展提出了一种修正的函数，用于计算重量函数和应力强度因子。对于多项式载荷定律的不同情况，已经获得了沿裂纹前沿的应力强度因子的分析和数值。我们提出了一种从应力强度因子值确定裂纹面位移的方法，其中使用了莱斯能量平衡方程，戴森定理和非均匀应力场中的裂纹平移理论。推导了椭圆形裂纹面位移的闭合形式，其表达式为任意程度的载荷多项式定律，可用于解决裂纹弹性理论的三维问题。

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