Abstract
Axisymmetric buckling of polar-orthotropic quasi-heterogeneous laminated annular plates are studied. A closed type solution is obtained for the case of two particular ratios of inner and outer pressures in terms of first and second kind Bessel functions of fractional order and Lommel functions. Two ratios of pressures are chosen in such a way as to represent a solution of the second order differentia] equation for the stress resultant function when only one of the fundamental solutions is left. The general procedure presented herein is valid for symmetrically laminated plates as well as for plates composed of materials with proportional properties. Numerous examples are shown indicating the effect of plates' heterogeneity on their elastic stability.
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