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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.v2.i1.30
17 pages

Estimation of Effective Elastic Properties of Random Structure Composites for Arbitrary Inclusion Shape and Anisotropy of Components Using Finite Element Analysis

Valeriy A. Buryachenko
Civil Engineering Department, University of Akron, Akron, Ohio 44325-3901, USA and Micromechanics and Composites LLC, 2520 Hingham Lane, Dayton, Ohio 45459, USA
G. P. Tandon
University of Dayton Research Institute, 300 College Park, Dayton, OH 45469-0168, USA

Краткое описание

We consider a linearly thermoelastic composite medium of arbitrary anisotropic constituents, which consists of a homogeneous matrix containing a statistically homogeneous random set of inclusions of any shape, orientation, and inhomogeneous micro structure. We use the main hypothesis of many micromechanical methods, according to which each inclusion is located inside a homogeneous so-called "effective field," accompanied by the quasi-crystalline approximation describing the inclusion interactions. We estimate effective elastic properties of composites and statistical averages of stresses, which are in general inhomogeneous in the inclusions. The proposed analytical—numerical method is efficient from a computational standpoint and is based on the use of the finite element analysis implemented for the one-particle problem in the infinite-homogeneous matrix with forthcoming incorporation of the stress concentrator tensors found in the known analytical homogenization scheme of micromechanics described above. The method is presented for both two- and three-dimensional problems, but the numerical examples are carried out just for plane strain and plane-stress problems.


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