Abstract
Abstract The Erigen’s nonlocal elasticity model has been extended for the vibrations of generalized thermo-diffusive sphere with three-phase-lag model. For stress-free thermal boundaries, the frequency equation is considered to investigate the endurance of attainable modes in compressed form. To inspect free vibration analysis from frequency equations, the numerical functional iteration method is used by MATLAB software tools. The analytical results for displacement, temperature, concentration of diffusion and stresses have been verified for frequency shift and quality factor. The field functions have been presented graphically for nonlocal and local elastic materials to improve the quality of vibrations in numerous cases of interest.
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