Axisymmetric deformations in a nonlocal isotropic thermoelastic solid with two temperature

Abstract

The paper is devoted to the study of the axisymmetric deformations in a two-dimensional nonlocal homogeneous isotropic thermoelastic solid without energy dissipation. The effect of two temperature has been added with normal force over the circular region, concentrated normal force, thermal source over the circular region and concentrated thermal point source as an application. Analytical solutions to the field equations have been obtained using Laplace and Hankel transforms. The expressions for physical fields such as conductive temperature distribution, stress components and displacement components and have been obtained in the transformed domain. Numerical inversion technique has been used to obtain the resulting quantities in the physical domain. In this paper the numerical simulated results have been depicted graphically to show the effect of nonlocal parameter on various components along with the discussion of some particular cases. A great difference in the deformation of nonlocal isotropic thermoelastic body has been found while considering the effect of presence and absence of nonlocal parameter. The variation of r causes various components to follow an oscillatory pattern.