The general problem of an axisymmetric circular plate, partially constrained from deflection by a smooth, rigid surface of revolution, is considered and the Reissner plate-theory solution is obtained. A specific example involving a clamped circular plate, concentrically loaded by a paraboloid of revolution, illustrates the importance of the inclusion of the effect of transverse shear deformation (even in the case of a thin plate).
On Surface Constraints in Plate Problems
Illinois Institute of Technology, Chicago, Ill.
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Essenburg, F. (June 1, 1962). "On Surface Constraints in Plate Problems." ASME. J. Appl. Mech. June 1962; 29(2): 340–344. https://doi.org/10.1115/1.3640552
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