Green–Naghdi generalized thermoelasticity of FG-GPLRC layer under thermal shock with viscosity effects

Abstract

This research deals with the generalized thermoelasticity of a one-dimensional domain with viscosity effects. It is considered that the epoxy layer is reinforced by graphene platelets (GPL). The distribution pattern of GPLs along the layer is founded on a functionally graded power law. The homogenization procedure of material properties is based on the second-order correlation rules which take into account the particles' size and shape effects. The viscosity property of the layer is modeled by the Kelvin–Voigt assumption with a viscosity parameter. The Green–Nghdi theory, which includes three types of thermoelasticity models, is utilized to achieve the coupled energy equation. Highly coupled partially differential motion and energy equations are solved by implementing the generalized differential quadrature and Newmark methods. The constant average acceleration strategy is the most well-known type of Newmark method used. The influences of the power law index, GPL weight fraction, thermal damping speed coefficient, and viscosity factor on the temporal evaluation of temperature, longitudinal displacement, and axial stress are investigated.