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BRIEF NOTES

Logarithmic Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates Under Bending

[+] Author and Article Information
G. B. Sinclair

Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213-3890

J. Appl. Mech 67(1), 219-223 (Oct 19, 1999) (5 pages) doi:10.1115/1.321174 History: Received May 18, 1999; Revised October 19, 1999
Copyright © 2000 by ASME
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References

Williams, M. L., 1951, “Surface Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates Under Bending,” Proceedings of the First U.S. National Congress of Applied Mechanics, Illinois Institute of Technology, Chicago, pp. 325–329.
Nádai, A., 1925, Die elastischen Platten, Julius Springer Publishing, Berlin.
Timoshenko, S. P., and Woinowsky-Krieger, S., 1959, Theory of Plates and Shells, 2nd Ed. McGraw-Hill, New York.
Dempsey,  J. P., and Sinclair,  G. B., 1979, “On the Stress Singularities in the Plane Elasticity of the Composite Wedge,” J. Elast., 9, pp. 373–391.
Dempsey,  J. P., 1981, “The Wedge Subjected to Tractions: A Paradox Resolved,” J. Elast., 11, pp. 1–10.
Ting,  T. C. T., 1984, “The Wedge Subjected to Tractions: A Paradox Re-Examined,” J. Elast., 14, pp. 235–247.
Sinclair,  G. B., 1999, “Logarithmic Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates in Extension,” ASME J. Appl. Mech., 66, pp. 556–560.
Sinclair, G. B., 1999, “Analysis of Logarithmic Stress Singularities Resulting from Various Boundary Conditions in Angular Elastic Plates in Bending,” Report SM 99-1, Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA.
Sinclair,  G. B., 1980, “On the Singular Eigenfunctions for Plane Harmonic Problems in Composite Regions,” ASME J. Appl. Mech., 47, pp. 87–92.

Figures

Grahic Jump Location
Geometry and coordinates for the angular elastic plate
Grahic Jump Location
Plate theory resultants: (a) moment resultants, (b) shear resultants

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