Nonlinear bending of temperature-dependent FG-CNTRC laminated plates with negative Poisson's ratio

The nonlinear bending behavior of nanocomposite laminated plates with negative Poisson's ratios (NPR) is reported. Each ply of the plate is made of carbon nanotube-reinforced composites (CNTRCs) and may have different CNT volume fractions and the CNTRC plies are arranged in the thickness direction in a piece-wise functionally graded pattern. The plate is supposed to be rested on a two-parameter elastic foundation and is exposed in a thermal environment. The temperature-dependent material properties of the CNTRCs are evaluated using an extended Voigt (rule of mixture) model. The governing equations for the nonlinear bending of FG-CNTRC laminated plates are based on Reddy's third order shear deformation plate theory and solved by using a two-step perturbation approach. Analytical solutions are obtained which include the geometrical nonlinearity in the von Karman sense, the thermal effects and the plate-foundation interaction. The effect of NPR on the nonlinear bending responses of FG-CNTRC laminated plates under different loading conditions are investigated comparatively according to the graphical results. It is explicitly shown that NPR has a significant effect on the nonlinear bending responses of CNTRC laminated plates.