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http://dx.doi.org/10.12989/csm.2018.7.1.061

High concentration ratio approximation of linear effective properties of materials with cubic inclusions  

Mejak, George (Faculty of Mathematics and Physics, University of Ljubljana)
Publication Information
Coupled systems mechanics / v.7, no.1, 2018 , pp. 61-77 More about this Journal
Abstract
This paper establish a high concentration ratio approximation of linear elastic properties of materials with periodic microstructure with cubic inclusions. The approximation is derived using first few terms of power series expansion of the solution of the equivalent eigenstrain problem with a homogeneous eigenstrain approximation. Viability of the approximation at high concentration ratios is proved by comparison with a numerical solution of the homogenization problem. To this end some theoretical result of symmetry properties of the homogenization problem are given. Using these results efficient numerical computation on a reduced computational domain is presented.
Keywords
periodic homogenization; material symmetries; equivalent eigenstrain method; effective elastic properties; asymptotic solution;
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Times Cited By KSCI : 1  (Citation Analysis)
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