Abstract
This work devoted to a new generalized model of Kapitza conductance. At present, the problem of the development of the theory of contact resistances between solids is particularly relevant due to growth of nanotechnology, where it plays an important and sometimes main role in the heat transport. Presented model takes into all specified properties of acoustic waves. First of all, it is refraction and reflection of acoustic waves that caused simultaneously both longitudinal and transverse waves. Secondly, it is considered the phenomenon of total internal reflection, which makes a significant contribution to the Kapitza resistance. These facts totally change the formulation of the problem, especially, the boundary conditions on the contact surface (interface). Results shows a good agreement with the experimental data, better than in previous works.
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