Effect of two temperature and nonlocality in an isotropic thermoelastic thick circular plate without energy dissipation

Abstract

This paper is related to the study of two temperature parameter effect for the axisymmetric deformation in a two-dimensional nonlocal homogeneous isotropic thick circular plate without energy dissipation. The plate is subjected to a cubical thermal source with a unit magnitude normal force. Laplace and Hankel transforms have been used to find the analytical solutions to the problem. The expressions for physical quantities such as displacement components, stress components and conductive temperature have been obtained in the transformed domain. The resulting quantities in the physical domain have been obtained with the use of inversion technique. The numerical simulated results have been depicted graphically for studying the effect of nonlocal parameter along with two temperature on the components of displacements, stresses and conductive temperature. The results obtained in this paper can be very useful for the researchers working in the field of nonlocal theory of thermoelasticity, in the fields of geophysics and various other scientific fields.