Published 6 issues per year
ISSN Print: 1543-1649
ISSN Online: 1940-4352
Indexed in
MODELING OF THIN COMPOSITE LAMINATES WITH GENERAL ANISOTROPY UNDER HARMONIC VIBRATIONS BY THE ASYMPTOTIC HOMOGENIZATION METHOD
ABSTRACT
A new approach to the asymptotic homogenization theory for thin composite laminates with general anisotropy of elastic modules under harmonic vibrations is suggested. The main purpose of the theory is to derive a closed explicit equation system for all six stress tensor components in composite laminates under vibrations, using 3D general equations for steady oscillations of elastic solids, by the asymptotic homogenization method. Unlike the classical homogenization analysis of 3D periodicity structures, our approach was applied to thin laminates with a constant thickness, but without any periodicity through the plate thickness. Recurrent chains of local vibration problems were deduced by the homogenization method, and closed-form solutions of these problems were found for thin laminates. This method allows us to compute all six stresses’ distributions in a plate including normal through-thickness and shear interlayer stresses for the case of general anisotropy in elastic modules. Unlike the classical plate theories, for the case of general anisotropy in elastic modules, when there are 21 elastic constants, the displacements’ distribution through a plate thickness is not linear. Longitudinal displacements proved to be linear functions of the coordinate along a plate thickness only for special anisotropy types — for monoclinic materials of plate layers, whose elastic modules’ symmetry plane is parallel to a middle plane of the plate. Computations by the developed method and by a 3D-?nite-element method solving the three-dimensional problem on free vibrations were compared, which showed a high accuracy of the developed method in calculation of natural frequencies and all six stresses in the plate.
-
Dimitrienko Yu I, Bogdanov I O, Two-scale modeling of spatial flows of gas and weakly compressible liquid in porous composite structures, Journal of Physics: Conference Series, 1141, 2018. Crossref
-
Ashikhmina E. R., Prosuntsov P. V., Wing airfoil selection and optimization for the tourist class reusable space vehicle, INTERNATIONAL YOUTH SCIENTIFIC CONFERENCE “HEAT AND MASS TRANSFER IN THE THERMAL CONTROL SYSTEM OF TECHNICAL AND TECHNOLOGICAL ENERGY EQUIPMENT” (HMTTSC 2019), 2135, 2019. Crossref
-
Nikabadze M U, Bogatyrev M A, Ulukhanyan A R, On the Modeling of Thin Bodies of Revolution, IOP Conference Series: Materials Science and Engineering, 683, 1, 2019. Crossref
-
Nikabadze Mikhail, Ulukhanyan Armine, Khizhenkov Andrey, On modeling of three-layered thin bodies, IOP Conference Series: Materials Science and Engineering, 683, 1, 2019. Crossref
-
Ashikhmina E R, Prosuntsov P V, Coupled CFD-based Shape Optimization of a Wing of Reusable Space Vehicle of Tourist Class, IOP Conference Series: Materials Science and Engineering, 709, 2, 2020. Crossref
-
Ivanov M Yu, Resh G F, Theoretical Justification of Experimental Investigation of Gravity-Capillary Method for Gas-Liquid Mixtures Intake, Journal of Physics: Conference Series, 1391, 1, 2019. Crossref
-
Dimitrienko Yu I, Zakharov A A, Gorbunov V Y, Modeling of the draping textile on a curved surface, Journal of Physics: Conference Series, 1990, 1, 2021. Crossref
-
Nikabadze M U, Ulukhanyan A R, To the Modeling of multilayer Thin Prismatic Bodies, IOP Conference Series: Materials Science and Engineering, 683, 1, 2019. Crossref
-
Ashikhmina E R, Ageyeva T G, Fedorov Yu S, Klimovich V, Analytical and experimental research of epoxy-based glass/carbon hybrid polymer composites, IOP Conference Series: Materials Science and Engineering, 934, 1, 2020. Crossref
-
Dimitrienko Yu I, Shuguang Li, Modeling the nonlinear permeability of porous composite structures with non-Newtonian fluids, IOP Conference Series: Materials Science and Engineering, 934, 1, 2020. Crossref
-
Li D.H., Wan A.S., A layerwise multiscale analysis method for composite laminated plates, Composite Structures, 257, 2021. Crossref