TECHNICAL PAPERS
Feb 1, 1986

Stress Analysis of a Blunted Notch in a Clamped Edge

Publication: Journal of Engineering Mechanics
Volume 112, Issue 2

Abstract

A formula for the stress concentration of a rounded notch cut in a clamped edge is derived. In this investigation a notched semi‐infinite plate is subjected to two situations: Uniform tension and uniform shear. The notch has a rounded corner at the end. It is shown that the maximum stress at the tip of a rounded corner can be represented by an infinite series expressed in forms of radius of curvature and the order of Williams stress singularity. The approximate expressions which include only the first few terms of an infinite series are compared with the analytical results. A rational mapping function and complex stress functions are used for the analysis of this displacement boundary value problem.

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References

1.
Hasebe, N., “Stress Analysis of the Cross‐Shaped Plate‐Roundness of Corner and its Stress,” Proceedings of the Japan Society of Civil Engineering, No. 185, 1971, pp. 9–20.
2.
Hasebe, N., “Stress Analysis of a Semi‐Infinite Plate with a Triangular Notch or Mound,” Proceedings of the Japan Society of Civil Engineering, No. 194, 1971, pp. 29–40.
3.
Hasebe, N., and Iida, J., “A Crack Originating from a Triangular Notch on a Rim of a Semi‐Infinite Plate,” Engineering Fracture Mechanics, Vol. 10, 1981, pp. 773–782.
4.
Hasebe, N., “Uniform Tension of a Semi‐Infinite Plate with a Crack at an End of a Stiffened Edge,” Ingenieur Archiv, Vol. 48, 1979, pp. 129–141.
5.
Hasebe, N., and Inohara, S., “Stress Analysis of a Semi‐Infinite Plate with an Oblique Edge Crack,” Ingenieur Archiv, Vol. 49, 1980, pp. 51–62.
6.
Hasebe, N., and Ueda, M., “Crack Originating from a Corner of a Square Hole,” Engineering Fracture Mechanics, Vol. 13, 1984, pp. 913–923.
7.
Muskhelishvili, N. I., “Some Basic Problems of Mathematical Theory of Elasticity,” Noordhoff, The Netherlands, 1963.
8.
Nomura, Y., “Plane Stress of the Plate which has Discontinuity Parts (4th Report, The Case of the Cross‐Shaped Plate),” Transactions of the Japan Society of Mechanical Engineers, Vol. 27, No. 179, 1961, pp. 1025–1035.
9.
Okabayashi, M., and Hasebe, N., “An Investigation of the Elastic Stress Distribution near a Corner of a Two Dimensional Body,” Bulletin of Nagoya Institute of Technology, Vol. 23, 1971, pp. 367–375.
10.
Williams, M. L., “Stress Singularities Resulting from Various Boundary Conditions in Angular Corner of Plate in Extention,” Journal of Applied Mechanics, Vol. 19, 1952, pp. 526–528.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 112Issue 2February 1986
Pages: 142 - 153

History

Published online: Feb 1, 1986
Published in print: Feb 1986

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Authors

Affiliations

Norio Hasebe
Prof., Dept. of Civ. Engrg., Nagoya Inst. of Technology, Gokisocho, Showaku, Nagoya, Japan
Takahiro Sugimoto
Asst., Dept. of Civ. Engrg., Nagoya Inst. of Technology, Gokisocho, Showaku, Nagoya, Japan
Takuji Nakamura
Assoc. Prof., Dept. of Civ. Engrg., Nagoya Inst. of Technology, Gokisochu, Showaku, Nagoya, Japan

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