The paper presents an analytical-numerical solution of the nonlinear flexural response of the moderately thick laminated co-rectangular plates subjected to mechanical and thermo-mechanical loadings. It also investigates the effects of non-linear elastic supports on flexural response of laminated composite plates. The problem is formulated using higher order shear deformation theory (HSDT) and von Karman's nonlinearity. The governing nonlinear coupled partial differential equations are linearized utilizing quadratic extrapolation technique. The spatial descretisation of the linear differential equations is carried out using the fast converging finite double Chebyshev series. Numerical results depicting the central displacements and moments of laminated composite plates for different boundary conditions are presented. Effects of plate geometry, elastic foundation parameters, and temperature dependent mechanical and thermal properties of material on the flexural response are presented.
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