This article is cited in 1 paper

MATHEMATICS

Cylindrical bending of elastoplastic rectangular three-layer plate with compressible filler in temperature field

A. S. Zelenaya

Belarusian State University of Transport, Gomel

Abstract: Cylindrical bending of asymmetrical in thickness elastic-thermoplastic three-layer plates with a compressible filler under the action of loads and temperature was investigated. The kinematic hypotheses are based on the hypothesis of a broken line: the Kirchhoff hypotheses are accepted for the outer layers, the deformed normal remains rectilinear in a rigid compressible filler. A system of equilibrium equations and its analytical solution in displacements are obtained. Numerical realization of solutions for a three-layer metal-polymer plate is carried out.

Keywords: thermoplasticity, three-layered rectangular plate, cylindrical bending.

UDC: 539.3

Received: 30.10.2018