Application of Chebyshev-based GDQ and Newmark methods to viscothermoelasticity responses of FG composite annular systems

Abstract

This study explores the thermo-viscoelasticity response of annular disks made of a functionally graded graphene platelet reinforced composite (FG-GPLRC). Random orientation is considered for GPL nanofillers. A power-law model with a controller index is also used to determine the GPL volume fraction distribution along the radial direction. The effective thermomechanical properties of the nanocomposite medium are calculated through the one-point and two-point correlation homogenization processes. The Kelvin-Voigt technique is employed to design the viscosity nature of the system. Coupled thermoelasticity is considered to attain the governing formulation because the considered disk is subjected to a sudden high temperature. Furthermore, by incorporating generalized thermoelasticity based on the Lord-Shulman concept, the physical structure of the problem is altered. The transient governing equations are solved based on a hybrid approach. The spatial dependency is solved using a Chebyshev-based generalized differential quadrature (GDQ) method, while the time dependency is calculated using an average acceleration-based Newmark technique. After confirming the described formulation and method with previous research, different parametric samples are given to explain more about the behavior of viscoelastic nanocomposite disks that are heated quickly and rotated at a constant rate.