Vibrations of rigidly fixed nonlocal thermo-elastic hollow sphere under diffusion

The analysis of homogeneous rigidly fixed nonlocal generalized thermoelastic sphere with diffusion has been recommended. On applying elimination technique to simultaneous differential equations cubical dilatation, displacement, temperature, diffusive concentration and stresses have been obtained. A number of possible modes for thermal boundary conditions in compact form for rigidly fixed boundaries are examined. In order to investigate the analysis for free vibrations, we use the MATLAB program to generate numerical data using the numerical iteration technique. From the data generated from numerical simulations, non-locality effect on the aforementioned parameters are noticed and represented graphically for thermo-elastic damping and frequency shift.