Nonlinear Thermoelastic Dynamic Responses of Auxetic Nanocomposites and Energy Absorption Characteristics Exposed to Wave Propagation

This work reports the analytical solutions of thermoelastic nonlinear dynamic responses and the energy absorption capacity of a polymer nanocomposite structure made of Carbon Nanotube-Reinforced Composites (CNTRC) having a Negative Poisson’s Ratio (NPR). A distinct layer stacking sequence is mathematically developed within the polymer nanocomposite to achieve NPR characteristics. Further, the nanocomposite structural model is derived using the higher-order deformation kinematics and von-Karman nonlinear strain to obtain the desired system governing equations of motion. The final form of the equation is obtained through Hamilton’s principle and solved through Galerkin’s steps. From the analysis of the auxetic behavior of the CNTRC-NPR laminated structures, it is found that the 14% CNTs volume fraction provides a higher NPR as compared to 11% and 17% volume fractions of CNTs. It is also observed that at 14% CNTs volume fraction exhibits more than −1.0 Poisson’s ratio at 300Formula: see textK, whereas it is around −1.6 at 500Formula: see textK. The dynamic behavior of CNTRC-NPR structures under transverse stimulation at different temperatures is investigated using time response, phase space diagram, jump phenomena, and Poincaré Maps (PCM). It is observed in the PCM that when the temperature increases from 300Formula: see textK to 500Formula: see textK, the jump-down frequency decreases, and the structure becomes softer. Additionally, the Bifurcation Diagrams (BFD) are plotted to determine the structure’s chaotic paths. In addition, the NPR structures are well-known for their energy-absorbing properties, and the analysis was extended to compute the same under the influence of shock loading at various temperature conditions. From the BFD analysis, it is found that the CNTRC-NPR structure has the ability to absorb more energy at 500Formula: see textK. Finally, the analysis also exhibits the wave propagation behavior of the proposed CNTRC-NPR structure to realize the NPR and non-NPR characteristics under varying temperatures.