Thermal Conductivity of Nanostructured Materials: Impact of Exponentially Varying Thickness on Steady-State Temperature Profiles

In this work, the investigation of a non-linear thermo-mechanical disc, which is made of Ti−6Al − 4V/GFRP nanomaterial, has been done. The main feature of such a disc is the presence of a rigid central shaft and an exponentially varying thickness that can be extended outward. B.R. Seth’s transition theory is used to establish the compatibility and equilibrium conditions under various mechanical and thermal conditions. This theory helps to analyze the large deformations that the disc experiences in such conditions. The numerical results for radial, hoop stresses and the displacement occurring at the radius of the disc are generated using MATLAB software. The obtained results are presented graphically to investigate how the rigidity of the disc is affected by the exponential thickness and stiffness of the nanomaterial. Moreover, some nano-additives, such as CNTs, Al2O3, SiC and graphene nano-plates, have been incorporated with Ti − 6Al − 4V/GFRP to observe the strength and thermal performance of the nano-material used. This proposed approach is a powerful tool for designing components of remove the space discs, aircraft blades, compressor rotors, etc., which rotate at very high speed and exhibit thermo-mechanical environments.