Deformation in axisymmetric nonlocal isotropic thermoelastic diffusive solid due to expanding ring load in time domain

This study investigates the coupled thermal and chemical interactions in a nonlocal homogeneous isotropic thermoelastic diffusive thick circular plate subjected to axisymmetric heat supply. Both surfaces of the plate are assumed to be stress free. Employing Laplace and Hankel transform techniques, analytical expressions for the field quantities are obtained in transformed domain. The corresponding solution in the physical domain is obtained through a specially developed algorithm. Numerical simulations are presented graphically to illustrate behavior of components of displacement, stresses, temperature change, mass concentration and material potential. The influence of the nonlocal parameter and diffusion phenomena on various field variables is examined in detail. The results show that the classical (local) model predicts higher mechanical responses, while increasing nonlocal effects significantly reduce displacement and stress magnitudes. These findings demonstrate that nonlocal thermoelastic diffusion theory is essential for accurately modeling size-dependent behavior in advanced materials especially at micro and nano-scales.