Multi-phase-lag model on forced vibrations of nonlocal thermoelastic diffusive cylinder with time-dependent heat flux

The nonlocal thermoelastic cylinder with diffusion has been depicted for thermal shock as forced vibrations to be an application for the present model. The main purpose of this manuscript is to investigate the forced vibrations of thermo-diffusive nonlocal elastic cylinder with time-dependent heat flux in the preview of three-phase-lag thermoelasticity theory. The internal and external boundary faces of the cylinder are kept free from stresses and concentration of diffusion. A heat flux with time-dependent heat source has been supplied on the internal face of the cylinder along radial direction and external face may be assumed isothermal. Simulations and computations have been employed to analytical outcomes by using MATLAB computer-based tools. The data generated from computations has been shown graphically which represent the different phase lag effects in temperature, stresses, dilatation, displacement and chemical potential. The analytical results have been verified by reduction/deduction and authenticated with earlier published literature. The study of the vibrations of nonlocal thermoelastic cylinder has been applied mostly in navigation, cosmetics industry, defence and also for the development of practical situations in optics, geo-magnetics, acoustics, cosmetics, etc.