Hrh. Kabir, A NOVEL-APPROACH TO THE SOLUTION OF SHEAR FLEXIBLE RECTANGULAR-PLATESWITH ARBITRARY LAMINATIONS, Composites. Part B, Engineering, 27(1), 1996, pp. 95-104
A novel analytical solution to shear flexible rectangular plates with
arbitrary laminations is presented. The deformation formulation of the
plate characterized by the equivalent single layer theory that consid
ers the effects of transverse shear deformations, suitable for moderat
ely thick plates, results in highly coupled five second-order partial
differential equations in five unknowns. A novel boundary continuous d
ouble Fourier series solution approach has been developed to solve the
se coupled equations in conjunction with the admissible boundary condi
tions. The analytical results presented should serve as bench-marks fo
r future comparisons of such popular approximate methods as finite ele
ment, finite difference, Rayleigh-Ritz, Galerkin, and collocation meth
ods.