Logarithmic stress singularities resulting from various boundary conditions in angular corners of plates under bending

Journal of Applied Mechanics, Transactions ASME

Volumn 67, Issue 1, 2000, Pages 219-223

  Sinclair, G B ^a,b  

^a ASME   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

STRESS SINGULARITIES;

BENDING (DEFORMATION); BOUNDARY CONDITIONS; ELASTICITY; STRESS ANALYSIS; STRUCTURAL ANALYSIS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0034156143     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.321174     Document Type: Article

References (9)

1. Williams, M. L., 1951, "Surface Stress Singularities Resulting From Various Boundary Conditions in Angular Comers of Plates Under Bending," Proceedings of the First U.S. National Congress of Applied Mechanics, Illinois Institute of Technology, Chicago, pp. 325-329.
2. Nádai, A., 1925, Die elastischen Platten, Julius Springer Publishing, Berlin.
3. Timoshenko, S. P., and Woinowsky-Krieger, S., 1959, Theory of Plates and Shells, 2nd Ed. McCraw-Hill, New York.
4. 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.
5. Dempsey, J. P., 1981, "The Wedge Subjected to Tractions: A Paradox Resolved," J. Elast., 11, pp. 1-10.
6. Ting, T. C. T., 1984, "The Wedge Subjected to Tractions: A Paradox Re-Examined," J. Elast., 14, pp. 235-247.
7. 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.
8. 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.
9. Sinclair, G. B., 1980, "On the Singular Eigenfunctions for Plane Harmonic Problems in Composite Regions," ASME J. Appl. Mech., 47, pp. 87-92.