We obtain explicit solutions for the two problems considered, in terms of Poisson’s ratio ν and in terms of a parameter μ which is of the order of the ratio of hole radius a to plate thickness h, through application of a sixth-order theory of shear deformable plates, with this solution involving distinct edge zone and interior solution contributions when 1 < < μ. It is shown that in this range some relevant asymptotic Bessel function formulas furnish explicit examples concerning the distinction between first-order shear corrections and second-order (Timoshenko-type) shear corrections which have been established in a recent general analysis.

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