This note considers the occurrence of pure logarithmic singularities in angular elastic plates under bending within the context of classical theory. By paralleling the development of requirements for logarithmic singularities for plates in extension, requirements for log singularities in bending are developed, both for homogeneous boundary conditions on plate edges and for inhomogeneous. Using these singularity requirements, some 50-odd configurations with log singularities are identified, the great majority being for inhomogeneous boundary conditions. [S0021-8936(00)00501-8]
Logarithmic Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates Under Bending
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, May 18, 1999; final revision, Oct. 19, 1999. Associate Technical Editor: J. R. Barber.
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Sinclair, G. B. (October 19, 1999). "Logarithmic Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates Under Bending." ASME. J. Appl. Mech. March 2000; 67(1): 219–223. https://doi.org/10.1115/1.321174
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