Three-Dimensional Non-Fourier Heat Transfer Analysis of Multilayer Functionally Graded Graphene Platelets Reinforced Composite Truncated Conical Shells

摘要

The three-dimensional transient heat transfer analysis of multilayer functionally graded graphene platelets reinforced composite (FG-GPLRC) truncated conical shells subjected to asymmetric thermal shock is presented. In order to include the effect of finite heat wave speed, the non-Fourier heat conduction law is employed. The multilayer FG-GPLRC truncated conical shells are composed of perfectly bonded co-axial GPLRC shell layers with uniformly and randomly distributed graphene platelets. Since the weight fractions of the two adjacent layers should be different to create FG-GPLRC shells, the material properties have layerwise variations in the thickness direction. Therefore, a transformed differential quadrature method (TDQM) is used to discretize the governing equations in the spatial domain. Then, a multi-step time integration scheme based on the non-uniform rational B-spline (NURBS) is applied to obtain the temperature distribution in the temporal domain. The approach is verified by showing its fast rate of convergence and doing some comparison studies. Afterward, the effects of the different parameters on the temperature distribution of the FG-GPLRC truncated conical shells are explored and discussed. It is expected that the TDQM- and NURBS-based multi-step method to be used on different engineering problems in future investigations.