Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2017019518
pages 219-237

MODELING OF THIN COMPOSITE LAMINATES WITH GENERAL ANISOTROPY UNDER HARMONIC VIBRATIONS BY THE ASYMPTOTIC HOMOGENIZATION METHOD

Yu. I. Dimitrienko
Computational Mathematics and Mathematical Physics Department, Bauman Moscow State Technical University, 2-nd Baumanskaya Str., 5, Moscow, 105005, Russia
I.D. Dimitrienko
Computational Mathematics and Mathematical Physics Department, Bauman Moscow State Technical University, 2-nd Baumanskaya Str., 5, Moscow, 105005, Russia

Краткое описание

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.


Articles with similar content:

HOMOGENIZATION OF RANDOM PLATES
International Journal for Multiscale Computational Engineering, Vol.9, 2011, issue 5
Karam Sab
Determination of the Overall Yield Strength Domain of Out-of-Plane Loaded Brick Masonry
International Journal for Multiscale Computational Engineering, Vol.5, 2007, issue 2
Karam Sab, Julien Dallot, Antonella Cecchi
COMPUTATIONAL CONTINUA FOR THICK ELASTIC LAYERED STRUCTURES
International Journal for Multiscale Computational Engineering, Vol.14, 2016, issue 5
Vasilina Filonova, Jacob Fish
THE ALGORITHM OF SEARCHING FOR CONSTANTS IN A MODEL OF THE MECHANICAL BEHAVIOR OF RUBBER
Composites: Mechanics, Computations, Applications: An International Journal, Vol.1, 2010, issue 4
A. L. Svistkov, Lauke Bernd, A. G. Pelevin, Heinrich Gert, A. A. Adamov
STATIC DEFLECTION ANALYSIS OF FLEXURAL SIMPLY SUPPORTED SECTORIAL MICRO-PLATE USING P-VERSION FINITE-ELEMENT METHOD
International Journal for Multiscale Computational Engineering, Vol.9, 2011, issue 2
H. Farahmand , S. Arabnejad, A. R. Ahmadi