This article is cited in 2 papers

ON THE ANNIVERSARY OF N.F. MOROZOV

Boundary layers on the upper/lower surfaces of reinforced plates

B. D. Annin^a, A. G. Kolpakov^b, S. I. Rakin<sup>c

a</sup> Lavrentiev Institute of Hydrodynamics, 15, pr. Akademika Lavrentieva, Novosibirsk, 630090, Russian Federation
^b SysAn - System Analysis in Engineering, 12, ul. A. Nevskogo, Novosibirsk, 630075, Russian Federation
^c Siberian Transport University, 191, ul. Dusi Kovalchuk, Novosibirsk, 630090, Russian Federation

Abstract: The periodicity cell problems of the homogenization theory, both elastic and thermoelastic, are discussed for a fiber-reinforced plate. A feature of the periodicity cells of the plates is the presence of free surfaces in them. As follows from our calculations, boundary layers appear on free surfaces. The characteristics of these boundary layers for unidirectional and transverse reinforced plates are investigated.

Keywords: plate, reinforcing fibers, matrix, homogenization method.

UDC: 539.3

MSC: 74

Received: 08.02.2022
Revised: 24.02.2022
Accepted: 03.03.2022

DOI: 10.21638/spbu01.2022.301

 English version: Vestnik St. Petersburg University, Mathematics, 2022, 9:3, 391–404