Combined analytical and numerical approach for auxetic FG-CNTRC plate subjected to a sudden load

In the current work, the dynamic behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plate with negative Poisson's ratio (NPR) is investigated by combining higher-order shear deformation theory and large deflection theory. First, explicit solutions are proposed to predict the effective Poisson's ratio (EPR) of the laminates. Taking carbon nanotube-reinforced composite (CNTRC) as an example, the maximum NPR is obtained for (+/-theta)(3T) laminate as well. Results show that the EPR (v(13)(e), v(23)(e)) can range from a positive value of 0.311 to a negative value of 0.63. For the dynamic response problem, the asymptotic solutions with a two-step perturbation approach are derived for FG-CNTRC plates to capture the relationship between the center deflection and time. Several key factors such as functionally graded distribution, variations in the elastic foundation, and thermal stress produced by changing the temperature field are considered in the subsequent analysis. Numerical simulations are carried out to examine the corresponding dynamic behavior of FG-CNTRC plates when these factors are taken into account.

Automated summary

In this study, the dynamic behavior of functionally graded carbon nanotube-reinforced composite plates with negative Poisson's ratio (NPR) is investigated using higher-order shear deformation theory and large deflection theory. The effective Poisson's ratio (EPR) of the laminates is predicted using explicit solutions, and the maximum NPR is found for carbon nanotube-reinforced composite plates. Asymptotic solutions are derived using a two-step perturbation approach to capture the relationship between center deflection and time. Numerical simulations are carried out to analyze the effects of various factors on the dynamic behavior of the plates.