MATHEMATICAL MODEL FOR THE DEFORMATION IN A MODIFIED GREEN–LINDSAY THERMOELASTIC MEDIUM WITH NONLOCAL AND TWO-TEMPERATURE EFFECTS

摘要

Abstract The present study elaborates the response of a heat source along with thermomechanical loading in a modified Green–Lindsay generalized thermoelastic half-space with nonlocal and two-temperature parameters. The problem is formulated for the model under consideration by reducing the governing equations into a dimensionless form. The problem is solved by using the Laplace and Fourier transforms. The physical field quantities, such as the stresses, displacement vector components, thermodynamic temperature, and conductive temperature, are found in the domain obtained after the Laplace and Fourier transforms. Numerical inversion techniques are used to recover the equations in the physical domain. Results obtained by using various thermoelasticity theories are compared.