<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>2007-0705</journal-id>
<journal-title><![CDATA[Nova scientia]]></journal-title>
<abbrev-journal-title><![CDATA[Nova scientia]]></abbrev-journal-title>
<issn>2007-0705</issn>
<publisher>
<publisher-name><![CDATA[Universidad de La Salle Bajío A. C., Coordinación de Investigación]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2007-07052015000200286</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Homogeneización de materiales compuestos de inclusiones elipsoidales periódicas]]></article-title>
<article-title xml:lang="en"><![CDATA[Homogenization of periodical ellipsoidal inclusions composites]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández Cabanas]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Otero]]></surname>
<given-names><![CDATA[José A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Monsivais]]></surname>
<given-names><![CDATA[Guillermo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez-Ramos]]></surname>
<given-names><![CDATA[Reinaldo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto de Cibernética, Matemática y Física Física Aplicada ]]></institution>
<addr-line><![CDATA[La Habana ]]></addr-line>
<country>CU</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Instituto Tecnológico y de Estudios Superiores de Monterrey  ]]></institution>
<addr-line><![CDATA[ México]]></addr-line>
<country>MX</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Autónoma del Estado de Morelos Instituto de Física ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>MX</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad de la Habana Facultad de Matemática y Computación ]]></institution>
<addr-line><![CDATA[La Habana ]]></addr-line>
<country>CU</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2015</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2015</year>
</pub-date>
<volume>7</volume>
<numero>14</numero>
<fpage>286</fpage>
<lpage>313</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-07052015000200286&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-07052015000200286&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-07052015000200286&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Los materiales compuestos son de vital importancia para el ser humano desde sus primeros tiempos, en la actualidad el empleo de estos materiales ha proliferado en la industria debido a la presencia de propiedades físicas que no están presentes en ninguno de sus componentes. El hecho de conocer previamente las propiedades de los materiales compuestos es unos de los problemas a los que se enfrenta la ciencia. Los métodos de homogeneización se emplean para calcular las propiedades efectivas de materiales compuestos. En el presente trabajo se plantea la formulación del método de homogeneización asintótica para compuestos tridimensionales y la transformación de los problemas locales a partir de las simetrías presentes en un compuesto de inclusiones elipsoidales periódicas. Se formula la resolución de los problemas locales por el método de elementos finitos utilizando elementos tetraédricos de cuatro nodos en la discretización del problema. Se realizan los cálculos numéricos para la obtención de los coeficientes efectivos en un material de inclusiones elipsoidales periódicas de aluminio embebidas en una matriz. La matriz es a su vez un compuesto del mismo aluminio con inclusiones esféricas de carburo de silicio con distribución cuadrada. Se muestran algunos de los resultados obtenidos para este compuesto variando la fracción volumétrica de aluminio para distintas razones de aspecto de las inclusiones elipsoidales. Se observa que en el caso de constituyentes isotrópicos, con una geometría del compuesto que presente una dirección predominante, el material resultante pierde esta propiedad.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Composites are vital to humans since the earliest time; today the use of these materials has proliferated in the industry due to the presence of physical properties not present in any of its components separately. One of the problems facing modern science is previously know the composites properties. Homogenization methods are used to calculate the effective properties of composite materials. In this paper the formulation of asymptotic homogenization method for three-dimensional composites and transformation of local problems from the symmetries present in a composite with periodical ellipsoidal inclusions are presented. The local problems resolution is formulated by finite element method using four-node tetrahedral elements in the problem's discretization. Numerical calculations for obtaining the effective coefficients in material with periodical ellipsoidal aluminum inclusions embedded in a matrix are made. The matrix is a composite of periodical esferical silicon carbide inclusions in an aluminum matrix. Some obtained results for this composite by varying the volume fraction of silicon carbide for different aspect ratios of the ellipsoidal inclusions are shown. It is observed that in the case of isotropic constituents, with a composite's geometry having a predominant direction, the resulting material loses isotropic property.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[materiales compuestos]]></kwd>
<kwd lng="es"><![CDATA[métodos de homogeneización]]></kwd>
<kwd lng="es"><![CDATA[método de elementos finitos]]></kwd>
<kwd lng="es"><![CDATA[propiedades efectivas]]></kwd>
<kwd lng="en"><![CDATA[composites]]></kwd>
<kwd lng="en"><![CDATA[homogenization method]]></kwd>
<kwd lng="en"><![CDATA[finite element method]]></kwd>
<kwd lng="en"><![CDATA[effective properties]]></kwd>
</kwd-group>
</article-meta>
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