nonlinear transient heat transfer analysis of multilayer fg-gplrc truncated cone

This work investigates the effect of a thermal shock loading on the multilayer functionally graded graphene platelets reinforced composite (fg-gplrc) truncated conical shells. variation of the temperature distribution along the cone thickness is accurately modeled by dividing the cone into a set of mathematical layers. in order to discretize the governing equations in the spatial domain, a layerwise-differential quadrature method (lw-dqm) as a computationally efficient numerical tool in conjunction with the mapping technique is implemented. this transforms the partial differential equations into a system of ordinary differential equations (odes) in the temporal domain. then a multi-step time integration scheme based on a non-uniform rational b-spline (nurbs) interpolation is applied for the solution of nonlinear odes. after a preliminary validation of the approach, the effects of different parameters on the transient temperature of the truncated cone are also studied.