HOMOGENEOUS SOLUTIONS FOR A MODEL OF DYNAMIC THERMOELASTIC DEFORMATION OF FUNCTIONALLY GRADED TRANSVERSELY ISOTROPIC PLATES WITH TWO-FACTOR EXPONENTIAL HETEROGENEITY

This paper presents a solution to the problem of constructing a system of basic homogeneous solutions for a model of coupled spatial thermoelastic steady-state dynamic deformation of functionally graded transversely isotropic slabs of spatial geometry made of materials with two-factor exponential heterogeneity of physical and mechanical properties across thickness. One value of the heterogeneity index is specified for the slab material density parameter, and a second value is specified for all other physical and mechanical properties. Analytical representations of the homogeneous solutions are obtained through the combined application of a semi-inverse method and an iterative algorithm for integrating the amplitude equations of spectral problems with respect to coordinate functions across the slab thickness.