<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D BATACHE</style></author><author><style face="normal" font="default" size="100%">T KANIT</style></author><author><style face="normal" font="default" size="100%">W KADDOURI</style></author><author><style face="normal" font="default" size="100%">R BENSAADA</style></author><author><style face="normal" font="default" size="100%">T OUTTAS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">An iterative analytical model for heterogeneous materials homogenization,</style></title><secondary-title><style face="normal" font="default" size="100%">Composites Part B: Engineering</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.sciencedirect.com/science/article/pii/S1359836817339070</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">Volume 142</style></volume><pages><style face="normal" font="default" size="100%">Pages 56-67 </style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	&lt;span&gt;The purpose of this study was to establish a method based on an iterative scheme to approximate the numerical solution obtained from finite elements analysis for an RVE in two and three dimensions based on the homogenization concept for the assessment of the effective properties. The bounds of Hashin–Shtrikman and Voigt–Reuss were considered in the iterative process based on an updating of the constitutive relations of these models respectively. In this study, by assumption, we took the particular case of the heterogeneous materials with several elastic isotopic phases. The output variables considered using the iterative process are the bulk, &lt;a href=&quot;https://www.sciencedirect.com/topics/materials-science/elastic-moduli&quot; title=&quot;Learn more about Elastic moduli&quot;&gt;shear modulus&lt;/a&gt; and the &lt;/span&gt;&lt;a href=&quot;https://www.sciencedirect.com/topics/materials-science/thermal-conductivity&quot; title=&quot;Learn more about Thermal Conductivity&quot;&gt;thermal conductivity&lt;/a&gt;. We have found a fast convergence of the iterative solution to the numerical result with a suitable concordance between the two solutions at the final step.
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