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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.2014011640
pages 123-143

A COMPUTATIONAL APPROACH FOR EVALUATING THE EFFECTIVE ELASTIC MODULI OF NON-SPHERICAL PARTICLE REINFORCED COMPOSITES WITH INTERFACIAL DISPLACEMENT AND TRACTION JUMPS

JianTao Liu
Southwest Jiaotong University, School of Mechanical Engineering, Chengdu 610031, China
Shui Tao Gu
Hohai University, School of Mechanics and Materials, Nanjing 210098, China
Qi-Chang He
Southwest Jiaotong University, School of Mechanical Engineering, Chengdu 610031, China; Université Paris-Est, Laboratoire de Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, 5 Boulevard Descartes, 77454 Marne-la-Vallée, France

Краткое описание

The present article proposed a numerical approach to accurately evaluate the size- and shape-dependent effective moduli of engineering heterogeneous materials containing arbitrarily shaped interfaces exhibiting both displacement and normal traction discontinuities. First, boundary condition on a representative volume element (RVE) and the effective moduli of composites involving interfacial discontinuities are precisely defined based on micromechanics. Then, a numerical approach framed within the extended finite element method (XFEM) together with the level set method (LSM) is elaborated to evaluate the averaged physical quantities over a RVE and the effective moduli of composites. Further, the unified scheme in Duan et al. (2007) to evaluate the effective moduli of composites is extended to the materials with physics-based general imperfect interfaces, and a benchmark problem is designated based on the approximated analytic formula of the effective moduli and utilized to test the validity and robustness of the elaborated numerical approach. All predictions show good agreement with the relevant analytic results. Finally, the numerical approach validated is applied to investigate the size- and shape-dependent effective moduli of composites and some concluding remarks are given.


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