New Closed-form Solution by Cartesian Coordinate for Stress Distribution around Ellptic Hole and Its Applications

In existing literature, the closed-form solution for stress distribution around an elliptic hole has been expressed in the elliptic coordinate in textbooks of theory of elasticity. However, these conventional solutions are inconvenient for application to strength analysis. In the present paper, a ne...

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Published inNihon Kikai Gakkai ronbunshū. A Vol. 17; no. 11; pp. 1538 - 1545
Main Authors Kanezaki, Toshihiko, Nagata, Koichi, Murakami, Yukitaka
Format Journal Article
LanguageJapanese
Published 01.11.2005
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Summary:In existing literature, the closed-form solution for stress distribution around an elliptic hole has been expressed in the elliptic coordinate in textbooks of theory of elasticity. However, these conventional solutions are inconvenient for application to strength analysis. In the present paper, a new concise closed-form solution for the stress distribution around an elliptic hole under remote uniform stress, a.r, and ray is given in Cartesian coordinate. The analysis of crack propagation path from the elliptic hole under pure shear stress is carried out with combination of FEM analysis. The contradiction between the crack propagation angle from an elliptic hole and that from a crack under pure shear is made clear by the numerical analysis.
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ISSN:0387-5008