Stress Concentration in Clamped Edge of Thin Plate
Publication: Journal of Engineering Mechanics
Volume 112, Issue 7
Abstract
In the thin plate bending problem a formula is derived for the stress concentration at the end of a rounded notch in a clamped edge. Two different stress states in the vicinity of the notch are considered, i.e., the stress states symmetric and antisymmetric to the bisector of the notch angle. Three kinds of stress concentration at the end of the notch are investigated. It is shown that the stress concentration can be given by an infinite series expressed in terms of the radius of curvature and Williams order of stress singularity. A rational mapping function and complex stress functions are used for the analysis of the displacement boundary value problem. Examples of the stress distribution are also presented.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Hasebe, N., “Stress Analysis of a Semi‐Infinite Plate with a Triangular Notch or Mound,” Proceedings of the Japan Society of Civil Engineers, No. 194, 1971, p. 29–40, in Japanese.
2.
Hasebe, N., “Longitudinal Shear Stress of a Semi‐Infinite Elastic Body with a Notch,” Proceedings of the Japan Society of Civil Engineers, No. 211, 1973, pp. 11–18, in Japanese.
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, 1978, pp. 773–782.
4.
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.
5.
Hasebe, N., “Mixed Boundary Value Problem of Plate with Crack,” Journal of Engineering Mechanics, ASCE, Vol. 110, No. EM1, Jan., 1984, pp. 37–48.
6.
Hasebe, N., Sugimoto, T., and Nakamura, T., “Stress Analysis of Blunted Notch in Clamped Edge,” Journal of Engineering Mechanics Division, ASCE, Vol. 112, No. EM2, Feb., 1986, pp. 142–153.
7.
Muskhelishvili, N. I., Some Basic Problems of Mathematical Theory of Elasticity, Noordhoff, The Netherlands, 1963.
8.
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, in Japanese.
9.
Savin, G. N., Stress Concentration Around Holes, Chapter VI, Pergamon Press, New York, N.Y., 1961.
10.
Williams, M. L., “Surface Stress Singularities Resulting From Various Boundary Conditions in Angular Corner of Plates under Bending,” 1st U.S. National Congress of Applied Mechanics, 1951, pp. 325–330.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 112 • Issue 7 • July 1986
Pages: 642 - 653
Copyright
Copyright © 1986 ASCE.
History
Published online: Jul 1, 1986
Published in print: Jul 1986
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.