Abstract
The problems of axisymmetric elastic buckling of moderately thick polar orthotropic annular plates that are simply-supported or clamped at outer edges but free at inner edges and subjected to external and/or internal pressure are addressed in this work. By assuming the Mindlin-type first-order transverse shear deformable displacement field, governing differential equations are derived through application of the variational principle. Numerical solutions are obtained with the aid of the finite difference method. Comparisons with classical plate theory with Kirchhoff-type displacement fields are made. Effects of parameters, such as ratios of radii, elastic moduli, thickness to external radius are studied. An important finding is that the effect of transverse shear deformation has an extremely large influence on the buckling pressures of the thick and highly polar orthotropic plates. Such an effect, as demonstrated by the numerical examples, cannot be neglected in practice.
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