Temperature-dependent thermal conductivity in Green–Naghdi (type III) thermoelastic half-space with hydrostatic initial stress

Abstract

In present work, Green–Nagdhi (type III) thermoelastic half-space under hydrostatic initial stress is taken into consideration. The thermoelastic half-space is subjected to a mechanical load acting on the free surface along the normal direction. The thermal conductivity of the medium is believed to be temperature-dependent and to vary linearly. The formulas for the temperature distribution, stress, and displacement components are obtained by applying the normal mode analysis approach. Analytical evaluation is performed on the physical characteristics exhibiting temperature-dependent thermal conductivity. The influence of temperature dependency and hydrostatic starting stress on these physical parameters is then illustrated graphically by evaluating these physical values numerically using algorithms created in MATLAB 7.0.