Abstract
Exact theories for a multi-layer rectangular plate, simply supported around its edge, loaded in flexure, vibration and buckling, were developed by N. J. Pagano and S. Srinivas. They enable the areas of application of plate theories to be defined. The Kirchhoff–Love theory only provides acceptable deflections, natural frequencies and critical buckling loads for thin plates whose ratio of thickness to the characteristic dimension of the mean surface is less than 1/20. Reissnero Mindlin theory, in which the transverse shear strains are constant through the plate thickness, gives satisfactory results for flexure, vibration, and buckling of moderately thick plates whose ratio of thickness to the characteristic dimension of the mean surface is between 1/5 and 1/20. Equation of displacements, strains and stresses, equation of global plate equations, global stiffness of matrix of the composite is shown. The transverse shear correction coefficient is deduced. The boundary conditions of symmetrical orthotropic plate, flexure of a rectangular orthotropic symmetrical plate simply supported around its edge, and other criteria are shown in the chapter. In the end, the global buckling force equation is given.
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