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.
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