Abstract
The derivation of the boundary integral equations for plate bending (Lecture 22) is based on the presumption that the moment and shear resultants remain bounded near the boundary origin point. However, in a number of significant problems the stress resultants do indeed become unbounded, for example at the base of a through crack or more generally at a reentrant corner. In these cases the singular behavior of the stress resultants are frequently themselves a focus of interest.
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References
Stern, M. (1983) Boundary Integral Equations for Bending of Thin Plates, in Progress in Boundary Element Methods, vol. 2, ed. C. A. Brebbia, Pentech Press, London.
Williams, M.L. (1951) Surface Singularities Resulting from Various Boundary Conditions in Angular Corners of Plates Under Bending, Proceedings First U. S. National Congress Applied Mechanics, Chicago, pp. 325–329.
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© 1984 Martinus Nijhoff Publishers, Dordrecht
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Stern, M. (1984). Formulation for Cracks in Plate Bending. In: Brebbia, C.A. (eds) Boundary Element Techniques in Computer-Aided Engineering. NATO ASI Series, vol 84. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6192-0_19
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DOI: https://doi.org/10.1007/978-94-009-6192-0_19
Publisher Name: Springer, Dordrecht
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