heat conduction, annular circular plates, circular plates, honeycomb structures, fiber composites, analytical solutions.

The paper presents mathematical model of heat conduction of multilayer annular circular and circular plates. Each layer of plate which is under consideration is either isotropic material or fiber composite or dispersion-strengthened composite or honeycomb composite structure. Method for solving unsteady-state heat conduction equation for multilayer annular circular or circular plate is proposed in the article. Proposed method is based on reduction of unsteady-state problem to steady-state heat conduction problem using Laplace transformation. Then steady-state heat conduction problem is solved using Galerkin – Bubnov method.

Nemirovskii Yuri Vladimirovich, Dr. Sci. Phys. & Math., Professor, Leading Research Associate, S. Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the RAS, Novosibirsk, Russia.

Stanislavovich Alexey Viacheslavovich, Leading specialist at Novosibirsk State Technical University, Novosibirsk, Russia.