Abstract
We present necessary and sufficient conditions for existence of a class of analytic solutions of the equations of classical theory of bending of plates in a domain formed by removing from the infinite plane a set of points belonging to an arbitrary piecewise-smooth contour. Here we assume that all the components of a solution of a given class possess the property of continuous extendability onto almost all points of the boundary of the domain and that the boundary values are locally summable functions on the boundary.
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L. T. Berezhnitskii, M. V. Delyavskii, and V. V. Panasyuk, Bending of Thin Plates with Crack-Type Defects [in Russian], Naukova Dumka, Kiev (1979).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 12, pp. 1598–1605, December, 1990.
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Kopets, A.S. Discontinuous solutions in the classical theory of bending of plates. Ukr Math J 42, 1435–1441 (1990). https://doi.org/10.1007/BF01060813
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DOI: https://doi.org/10.1007/BF01060813