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Convenient and accurate formulas for stress intensity factor distribution of semi-elliptical surface crack

Yasushi Takase

Department of Mechanical Engineering, Kyushu Institute of Technology, Japan

E-mail Address: takase.yasushi415@mail.kyutech.jp

Corresponding author.

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Nao-Aki Noda

Department of Mechanical Engineering, Kyushu Institute of Technology, Japan

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https://doi.org/10.1142/S0217979221400026Cited by:1 (Source: Crossref)

This article is part of the issue:

Special Issue on the Physics and Mechanics of New Materials and Their Application
Guest Editors: Prof. Yun-Hae Kim, Prof. Nao-Aki Noda, Prof. Ivan A. Parinov, Prof. Shun-Hsyung Chang and Dr. Pankaj Koinkar

Abstract

In this paper, the stress intensity factor (SIF) formula $F_{ISE}$ along the crack front of a semi-elliptical surface crack is studied. The exact SIF solution $F_{ISE}$ is used by solving the hypersingular integral equation of the body force method discussed in the previous paper. To obtain the accurate formula, the SIF ratio $F_{ISE}$ / $F_{IE}$ is focused considering the exact solution $F_{IE}$ of an elliptical crack. By applying the least squares method to the ratio $F_{ISE}$ / $F_{IE}$ , accurate and convenient formula is proposed. The proposed formulas may provide the accurate SIF distributions for the aspect ratio $a / b = 1$ –4 better than 0.2% accuracy.

Keywords:

PACS: 46.50.+a

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