A nonlocal analysis of thermal strain in elastic medium with two-parameter spatial nonlocal heat conduction model without energy dissipation

To perceive the strain distribution as well as the thermal wave response into the elastic medium, a two-parameter thermodyamic nonlocal elastic model is incorporated herein. The present model of spatial nonlocal thermoelasticity belongs to such a class of nonlocal elasticity which can eliminate the singularities at the dislocation lines and crack tips. The proposed model is well appropriate in the vicinity of the applied forces. Nonlocal heat flux provides more accurate information about the thermal displacements into the medium. It provides an account of author’s gradient approach as applied to analyze the thermoelastic deformation, also in comparison with Eringen’s nonlocal theory.