An infinite thin plate with an elliptical hole reinforced by a confocal elliptical ring is subjected to loads in the plane. A solution to the generalized plane-stress problem is obtained using the complex variable techniques of Muskhelishvili. The result is presented in a form well suited to evaluation by digital computers. Specialization to a circular hole with a negligibly thin reinforcement is shown to be in agreement with results obtained by other authors.
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Elastic Equilibrium of a Plate With a Reinforced Elliptical Hole
Aero-Astronautics Department, The Rand Corporation, Santa Monica, Calif.
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Levin, E. (June 1, 1960). "Elastic Equilibrium of a Plate With a Reinforced Elliptical Hole." ASME. J. Appl. Mech. June 1960; 27(2): 283–288. https://doi.org/10.1115/1.3643953
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