Thermo-mechanical wave propagation in a viscous FG nanocomposite media based on the LS theory

The thermo-viscoelasticity of a functionally graded nano graphene platelet reinforced composite (FG-GPLRC) layer is investigated in the present examination. It is presumed that the nanoparticles are uniformly dispersed and arranged in random orientations within an arbitrary point of the one-dimensional domain. In addition, the distribution outline of the GPL volume fraction is based on a power-law model with a controller parameter. The second-order correlation homogenization method is employed to extract the equivalent thermomechanical characteristics of the under-study nanocomposite media. The viscous behavior of the structure is modeled by implementing the Kelvin-Voigt approach. Given that the structure experiences a sudden thermal shock, coupled thermoelasticity is utilized to obtain the governing equations. Moreover, the physical nature of the problem is modified by considering thermoelasticity in the generalized form following the Lord-Shulman (LS) model for the nanocomposite medium. To determine the response of the problem, the Generalized Differential Quadrature (GDQ) and Newmark approaches are applied. Unlike previous studies, which primarily focus on non-viscous or non-LS formulations, our research uniquely applies the LS model to address the thermo-mechanical wave propagation in a viscoelastic nanocomposite layer under thermal shock. This approach allows for more accurate modeling of the thermal responses in such advanced materials. After validating the demonstrated formulation and methods with available studies, multiple parametric cases are presented to thoroughly examine the response of the viscoelastic nanocomposite layer when subjected to rapid heating.