Investigation on Filippi’s stress equation for V-shaped notch with rounded vertex Part I: Mode I stresses

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• 作者：D.H. Chen ; ^{dhchen@ujs.edu.cn}
• 关键词：V-notch ; Elasticity ; Notch stress intensity factor ; Stress concentration ; Notch root radius
• 刊名：Engineering Fracture Mechanics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：169
• 期：Complete
• 页码：163-177
• 全文大小：1015 K
• 卷排序：169

文摘

The stresses generated in a semi-infinite plate with rounded V-shaped notch subjected to a uniform tension load at remote are used as a base data to examine the applicability of Filippi’s stress equation at evaluating stresses generated in a rounded V-shaped notch with a finite depth. It is found that Filippi’s equation gives an excellent approximation to the stresses along the notch bisector for rounded V-shaped notches. The generalized stress intensity factor Kρ,IV(r) is almost constant along the notch bisector in the region where the stresses are governed by the singular stress field in a sharp notch. Filippi’s equation is also effective in evaluating the stresses along direction of θ≠0, however, as θ   increases, the discrepancy between Filippi’s equation and the numerical analysis becomes larger. It is advisable to limit calculation points of stress within a range of θ≤30°θ≤30°. Values of the maximum stress σmaxσmax predicted by various techniques are also examined using the numerical-analysis results of the semi-infinite plate with a V-shaped notch, and an analytical approach for predicting the constant a1a1 in Filippi’s equation is proposed.