Coupled thermoelastic analysis of an FG multilayer graphene platelets-reinforced nanocomposite cylinder using meshless GFD method: A modified micromechanical model

Abstract

The coupled thermoelasticity analysis based on the Green–Naghdi theory with energy dissipation is carried out to assess the thermoelastic wave propagations in an FG multilayer graphene platelets-reinforced nanocomposite cylinder. The cylinder is assumed to be made of multi-layers (sub-cylinders), and each layer is reinforced by a uniform distribution of graphene platelets (GPLs). A modified micromechanical model is used to calculate the thermal and mechanical properties considering nonlinear grading patterns of the GPLs along the radial direction of the cylinder. Using a proper arrangement of the layers, the nonlinear grading patterns of the GPLs are created along the radial direction of the whole cylinder. To solve the obtained governing partial differential equations (PDEs), the meshless generalized finite-difference (GFD) method and the Newmark method are employed. The inner surface of the cylinder is excited by three types of the thermal shock loading including the suddenly temperature increase described by the Heaviside step function, as well as sinusoidal and ramp pulses. The effects of the key parameters such as the weight fraction of the GPLs and volume fraction index on the thermoelastic wave propagations and dynamic behaviors of the field variables are studied in details. Also, the effects of the key parameters on the thermoelastic damping in the temperature field are illustrated using the presented modified micromechanical model. The accuracy and stability of the presented meshless method and the numerical results are verified by the published reference data.