The paper describes the homogenization procedure for a two-phase mixture composite that consists of two isotropic thermoelastic materials. It is assumed that the special interface conditions are held on the boundary between the phases, where the stress and the thermal flux jump over the interphase boundary are equal to the surface stresses and thermal flux at the interface. Such boundary conditions are used to describe the nanoscale effects in thermoelastic nanodimensional bodies and nanocomposites. The homogenization problems are solved using the approach of the effective moduli method, the finite element method and the algorithm for generating the representative volume of cubic finite elements with random distribution of element material properties. As a numerical example, a mixture wolfram-copper composite is considered, where the interface conditions are simulated by surface membrane and thermal shell elements. © 2019, Springer Nature Switzerland AG.