Effects of nonlocality and two temperature in a nonlocal thermoelastic solid due to ramp type heat source

Abstract

This investigation is focused on the effects of nonlocality due to 2-D deformations arising in a nonlocal homogeneous isotropic thermoelastic solid which is subjected to a ramp type heat source with two temperature. There has been the use of Laplace and Fourier transforms for solving the equations. The expressions for displacement components, stress components and conductive temperature have been computed in the transformed domain. The numerical inversion technique has been used for obtaining the results in the physical domain. The effect of nonlocal parameter on the displacement components, conductive temperature and stress components have been represented graphically.

Keywords

• eringen model of nonlocal theories
• laplace and fourier transforms
• nonlocal theory of thermoelasticity
• ramp type heat
• thermoelasticity