TECHNICAL PAPERS
Aug 1, 1987

Intensity of Corner in Fixed Edge of Plane Problem

Publication: Journal of Engineering Mechanics
Volume 113, Issue 8

Abstract

A displacement boundary value problem is analyzed for a two‐dimensional elastic body for which the edges are fixed: It has a perfectly angular corner and a rounded corner. Complex stress functions and rational mapping functions are used for the analysis, which is carried out for the symmetric and antisymmetric stress states with respect to the bisector of the corner angle. The relationships between the intensity of a perfectly angular corner and the stress concentration of a rounded corner are investigated for reentrant corners and for some Poisson ratios. Using the results of, these investigations, the intensity of the corner can be obtained from the expression of stress concentration. Conversely, the expression of stress concentration can be obtained from the intensity of the corner, if it is known.

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References

1.
Hasebe, N. (1971). “Stress analysis of a semi‐infinite plate with a triangular notch or mound.” Proc. Japan Soc. of Civ. Engrs., 37(194), Oct., 29–40 (in Japanese).
2.
Hasebe, N. (1979). “Uniform tension of a semi‐infinite plate with a crack at an end of a stiffened edge.” Ingenieur‐Archiv., 48, Mar., 124–141.
3.
Hasebe, N., and Inohara, S. (1980). “Stress analysis of a semi‐infinite plate with an oblique edge crack.” Ingenieur‐Archiv., 49, Jan., 51–61.
4.
Hasebe, N., and Iida, J. (1983). “Intensity of corner and stress concentration factor.” J. Engrg. Mech., ASCE, 109(1), Feb., 346–356.
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Hasebe, N., and Kutanda, Y. (1978). “Calculation of stress intensity factor from stress concentration factor.” Engrg. Fracture Mech., 10, Apr., 215–221.
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8.
Iida, J., Hasebe, N., and Nakamura, T. (1987). “Intensity of corner in fixed edge of thin plate.” J. Engrg. Mech., ASCE, 113(8), Aug.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 113Issue 8August 1987
Pages: 1194 - 1207

History

Published online: Aug 1, 1987
Published in print: Aug 1987

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Authors

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Jiro Iida
Civ. Engr., Nagoya Highway Corp., Marunouchi 1, Nakaku, Nagoya, Japan
Norio Hasebe, M. ASCE
Prof., Dept. of Civ. Engrg., Nagoya Inst. of Tech., Gokisocho, Showaku, Nagoya, Japan
Sei Matuura
Prof., Dipt. of Civ. Engrg., Nagoya Inst. of Tech., Gokisocho, Showaku, Nagoya, Japan

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