elastic diffusion, coupled problem, unsteady problem, multicomponent continuum, Kirchhoff plate, Green’s function.

We study unsteady elastic diffusion vibrations of a rectangular ortotropic Kirchhoff plate in the presence of diffusion fluxes relaxation. In general formulation the plate is subjected to tensile and shear forces as well as bending moments and torque. The unsteady model of an elastodiffusive Kirchhoff plate is obtained using the d’Alembert variational principle.

Zemskov, Andrei V. Professor, Department of Applied Software and Mathematical Methods, Moscow Aviation Institute (National Research University), Senior Researcher of Dynamic Testing Laboratory, Institute of Mechanics Lomonosov Moscow State University, Doctor of Physics and Mathematics Science, assistant professor, Moscow.

Tarlakovskii, Dmitry V. Head of Dynamic Testing Laboratory, Institute of Mechanics Lomonosov Moscow State University, Head of the Department of materials resistance, dynamics and machine strength, Moscow Aviation Institute (National Research University), Doctor of Physics and Mathematics Science, professor, Moscow.