Open AccessMathematical model of nonlinear deformation of three-layer shells
Author(s) -
Vladimir Karpov,
Evgeny Kobelev
Publication year - 2020
Publication title -
vestnik graždanskih inženerov
Language(s) - English
Resource type - Journals
ISSN - 1999-5571
DOI - 10.23968/1999-5571-2020-17-3-94-100
Subject(s) - isotropy , materials science , nonlinear system , deformation (meteorology) , nonlinear elasticity , shell (structure) , elasticity (physics) , poisson's ratio , layer (electronics) , poisson distribution , composite material , mechanics , geometry , mathematics , physics , optics , statistics , quantum mechanics
The article presents the study results of geometrically nonlinear deformation of elastic shells of arbitrary type with consideration of transverse shifts. There is constructed a new mathematical model of nonlinear deformation of thin-walled elastic isotropic three-layer shells. Each layer of the shell is made of different materials, but with similar shear modules. The thickness of the layers can be different. Averaging of all three layers becomes possible, and deformation of a three-layer shell as a single-layer shell with the given characteristics of the modulus of elasticity and the Poisson's ratio can be considered.