THE EFFECT OF VARIABLE THERMAL CONDUCTIVITY ON AN INFINITE FIBER-REINFORCED THICK PLATE UNDER INITIAL STRESS

摘要

The present paper includes an analytical study of the effect of variable thermal conductivity and initial stress on a fiber-reinforced transversely isotropic thick plate. The model of the equations of generalized thermoelasticity with phase lags in an isotropic elastic medium with temperature-dependent mechanical properties are established. The upper surface of the plate is thermally insulated with prescribed surface loading while the lower surface of the plate rests on a rigid foundation and temperature. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution. Numerical results for the physical quantities are given and illustrated graphically with temperature-dependent and temperature-independent thermal conductivity. A comparison is made with results obtained with initial stress and without initial stress. Also, a comparison is made with results obtained with reinforcement and without reinforcement proprieties. It is found from the graphs that the initial stress, the reinforcement and phase lags have great effects on the distribution of the field quantities.