Open AccessAsymptotic analysis of the two-layer plates bending with nonlinear interlayer friction
Author(s) -
Yu. I. Dimitrienko,
Е. А. Губарева,
M. O. Makovskaya
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1990/1/012055
Subject(s) - slip (aerodynamics) , nonlinear system , elasticity (physics) , materials science , mechanics , plate theory , bending of plates , mathematics , mathematical analysis , bending , composite material , boundary value problem , physics , thermodynamics , quantum mechanics
The article is devoted to the study of the features of the occurrence of slip between layers of a thin two-layer plate with an initial ideal contact under the influence of critical pressure. A three-dimensional problem of the linear theory of elasticity for a thin two-layer plate with sliding conditions with friction at the interface is considered. To solve this problem, the method of asymptotic averaging is applied. An equation is established for calculating the critical pressure for a two-layer plate at which the layers begin to slip. A numerical example is considered for a two-layer fiberglass for different conditions of fixing at the ends. It is shown that the fixing conditions affect the critical pressure of the beginning of sliding.