Abstract

This chapter presents the relationships between the bending solutions of sectorial plates based on the Kirchhoff thin plate theory and the Mindlin plate theory. The Kirchhoff plate theory neglects the effect of transverse shear deformation, and the Mindlin plate theory allows for this effect that becomes significant when dealing with thick plates and sandwich plates. The considered sectorial plates have simply supported radial edges while the circular curved edge may be either simply supported, clamped, or free. The availability of such relationships allows easy conversion of the existing Kirchhoff sectorial plate solutions into the corresponding Mindlin solutions. The use of the relationships is illustrated using some sectorial plate examples and sample solutions obtained were checked with existing results and those computed from the finite element analysis software ABAQUS.

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