The Robin Boundary Value Problem for an Unbounded Plate with a Hole

C. Constanda () and D. Doty ()
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C. Constanda: The University of Tulsa
D. Doty: The University of Tulsa

Chapter Chapter 9 in Integral Methods in Science and Engineering, 2023, pp 103-117 from Springer

Abstract: Abstract An approximation is constructed for the solution of bending of a load-free unbounded elastic plate with a hole, under Robin-type conditions prescribed on the boundary of the hole and given far-field behavior. The procedure is implemented by means of a generalized Fourier series method that makes use of a complete set of functions spanning the space of the solution. The functions of this complete set are constructed from elements intrinsically tied to the analytic structure of the mathematical model.

Date: 2023
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DOI: 10.1007/978-3-031-34099-4_9

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