ABSTRACT
This chapter’s main goal was to investigate how the auxeticity and aggregation of CNTs affect the nonlinear bending and postbuckling responses of meta-nanomaterial beams. In this context, a two-level micromechanical method was developed to determine the effective Young’s moduli of the auxetic CNTR nanomaterial hosted by a polymer. The nonlinear bending issue was put forward using the traditional beam theory. The issue was then resolved analytically to track changes in the beam’s amplitude of deflection. The purpose of the second section of this chapter was to investigate the nonlinear deflection properties of porous auxetic CNTR polymer beams that were bent uniformly. We used a refined-type HSDT and paired it with von Kármán’s theorem in the context of an energy-based algorithm to obtain the motion relations of the thick meta-nanomaterial structures since we wanted to deliver trustworthy data for thick beams. This chapter’s last section examined how the nonlinear bending and buckling loads of thin meta-nanocomposite beams varied. In order to do this, a two-step micromechanical technique was used to determine the equivalent modulus of the auxetic CNTR nanocomposite with regard to the influence of the CNT aggregation on the modulus estimate. After that, the issue was formulated using the conventional theory of thin beams. The postbuckling load of the beam was reached after the issue was resolved using the analytical Galerkin approach.
