<?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>S2007-07052021000100101</article-id>
<article-id pub-id-type="doi">10.21640/ns.v13i26.2456</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Magneto-electric coupling constants in piezoelectric / piezomaganetic layered composite]]></article-title>
<article-title xml:lang="es"><![CDATA[Constantes de acoplamiento magnetoeléctricas en compuestos estratificados piezoeléctricos / piezomagnéticos]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández Cabanas]]></surname>
<given-names><![CDATA[Joanka]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Monsivais Galindo]]></surname>
<given-names><![CDATA[Guillermo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Otero Hernández]]></surname>
<given-names><![CDATA[José Antonio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Autónoma de México Instituto de Física ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Tecnológico de Monterrey Escuela de Ingeniería y Ciencias ]]></institution>
<addr-line><![CDATA[ Ciudad de México]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Tecnológico de Monterrey Escuela de Ingeniería y Ciencias ]]></institution>
<addr-line><![CDATA[ Estado de México]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2021</year>
</pub-date>
<volume>13</volume>
<numero>26</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-07052021000100101&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-07052021000100101&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-07052021000100101&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: During the last few years, piezoelectric/piezomagnetic composites have been studied due to the numerous applications related to the coupling between these materials and the fields. In the present work, two theoretical models for calculating the magneto/electric coupling factor of the composite with 2-2 connectivity, are presented. Using the asymptotic homogenization method, the effective coefficients of a periodic magneto-electro-elastic layered composite can be obtained in matrix form. By using this matrix, a two-layered composite formed by BaTiO3 and CoFe2O4 are studied, and expressions for the effective coefficients are obtained. The effective magneto/electric coupling factor as a function of the piezoelectric volumetric fraction are found from these particular coefficients. In addition, a dynamic model of the multilayer piezoelectric/piezomagnetic composite is discussed. The dynamical model has been used to determinate the magnetoelectric coupling constants.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Durante los últimos años se han estudiado los composites piezoeléctricos / piezomagnéticos debido a las numerosas aplicaciones relacionadas con el acoplamiento entre estos materiales y los campos. En el presente trabajo se presentan dos modelos teóricos para el cálculo del factor de acoplamiento magneto / eléctrico del composite con conectividad 2-2. Utilizando el método de homogeneización asintótica, los coeficientes efectivos de un compuesto estratificado magneto-electro-elástico periódico se pueden obtener en forma de matriz. Mediante el uso de esta matriz se estudia un compuesto de dos capas formado por BaTiO3 y CoFe2O4 y se obtienen expresiones para los coeficientes efectivos. El factor de acoplamiento magneto / eléctrico efectivo en función de la fracción volumétrica piezoeléctrica se encuentra a partir de estos coeficientes particulares. Además, se analiza un modelo dinámico del composite piezoeléctrico / piezomagnético multicapa. El modelo dinámico se ha utilizado para determinar las constantes de acoplamiento magnetoeléctrico.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[elasticidad electromagnética (electroelasticidad, magnetoelasticidad)]]></kwd>
<kwd lng="es"><![CDATA[efectos magnetoeléctricos]]></kwd>
<kwd lng="es"><![CDATA[constantes piezoeléctricas]]></kwd>
<kwd lng="es"><![CDATA[materiales compuestos]]></kwd>
<kwd lng="es"><![CDATA[46.25.Hf]]></kwd>
<kwd lng="es"><![CDATA[75,85 + t]]></kwd>
<kwd lng="es"><![CDATA[77.65.Bn]]></kwd>
<kwd lng="es"><![CDATA[77.84.Lf]]></kwd>
<kwd lng="en"><![CDATA[electromagnetic elasticity (electroelasticity, magnetoelasticity)]]></kwd>
<kwd lng="en"><![CDATA[magnetoelectric effects]]></kwd>
<kwd lng="en"><![CDATA[piezoelectric constants]]></kwd>
<kwd lng="en"><![CDATA[composite materials]]></kwd>
<kwd lng="en"><![CDATA[46.25.Hf]]></kwd>
<kwd lng="en"><![CDATA[75.85.+t]]></kwd>
<kwd lng="en"><![CDATA[77.65.Bn]]></kwd>
<kwd lng="en"><![CDATA[77.84.Lf]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bakhvalov]]></surname>
</name>
<name>
<surname><![CDATA[Panasenko]]></surname>
</name>
</person-group>
<source><![CDATA[Averaging processes in periodic media]]></source>
<year>1989</year>
<publisher-loc><![CDATA[Kluwer ]]></publisher-loc>
<publisher-name><![CDATA[Dordrecht]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cabanas]]></surname>
<given-names><![CDATA[J. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Otero]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Bravo-Castillero]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Rodríguez-Ramos]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Monsivais]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Laminados magneto-electro-elásticos con variaciones en la orientación de la magnetización]]></article-title>
<source><![CDATA[Nova Scientia]]></source>
<year>2010</year>
<volume>2</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>58-76</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fang]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhou]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Xu]]></surname>
<given-names><![CDATA[Y. T.]]></given-names>
</name>
<name>
<surname><![CDATA[Jing]]></surname>
<given-names><![CDATA[W. Q.]]></given-names>
</name>
<name>
<surname><![CDATA[Yang]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Magnetoelectric coupling of multiferroic composites under combined magnetic and mechanical loadings]]></article-title>
<source><![CDATA[Smart Materials and Structures]]></source>
<year>2013</year>
<numero>22</numero>
<issue>22</issue>
</nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fu]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Santa Rosa]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[M'Peko]]></surname>
<given-names><![CDATA[J. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Algueró]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Veneta]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Magnetoelectric coupling in lead-free piezoelectric Lix(K0.5Na0.5)1 &#8722; xNb1 &#8722; yTayO3 and magnetostrictive CoFe2O4 laminated composites]]></article-title>
<source><![CDATA[Physics Letters A]]></source>
<year>2016</year>
<volume>380</volume>
<numero>20</numero>
<issue>20</issue>
<page-range>1788-92</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hohenberger]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Lazenka]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Temst]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Selle]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Patzig]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Höche]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Grundmann]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Lorenz]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Effect of double layer thickness on magnetoelectric coupling in multiferroic BaTiO3 -Bi 0.95Gd 0.05 FeO 3 multilayers]]></article-title>
<source><![CDATA[Journal of Physics D: Applied Physics]]></source>
<year>2018</year>
<volume>51</volume>
<numero>18</numero>
<issue>18</issue>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kuo]]></surname>
<given-names><![CDATA[HY.]]></given-names>
</name>
<name>
<surname><![CDATA[Hsin]]></surname>
<given-names><![CDATA[K. C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Functionally graded piezoelectric-piezomagnetic fibrous composites]]></article-title>
<source><![CDATA[Acta Mechanic]]></source>
<year>2018</year>
<volume>229</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>1503-16</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pérez-Fernández]]></surname>
<given-names><![CDATA[L. D.]]></given-names>
</name>
<name>
<surname><![CDATA[Bravo-Castillero]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Rodríguez-Ramos]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Sabina]]></surname>
<given-names><![CDATA[F. J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On the constitutive relations and energy potentials of linear thermo-magneto-electro-elasticity]]></article-title>
<source><![CDATA[Mechanics Research Communications]]></source>
<year>2009</year>
<volume>36</volume>
<page-range>343-50</page-range></nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pobedrya]]></surname>
<given-names><![CDATA[B. E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Mechanics of composite materials]]></source>
<year>1984</year>
<publisher-loc><![CDATA[Moscow ]]></publisher-loc>
<publisher-name><![CDATA[Moscow State University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Praveen]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Reddy]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Chandrakala]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Indla]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Dineshkumar]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Subramanian]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Das]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Enhanced magnetoelectric coupling in Ti and Ce substituted lead free CFO-BCZT laminate composites]]></article-title>
<source><![CDATA[Journal of Alloys and Compounds]]></source>
<year>2018</year>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Qiu]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Wen]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Li]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Magnetoelectric coupling characteristics of five-phase laminate composite transducers based on nanocrystalline soft magnetic alloy]]></article-title>
<source><![CDATA[Applied Physics Letters]]></source>
<year>2014</year>
<volume>104</volume>
<numero>11</numero>
<issue>11</issue>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shi]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Modeling of nonlinear magnetoelectric coupling in layered magnetoelectric nanocomposites with surface effect]]></article-title>
<source><![CDATA[Composite Structures]]></source>
<year>2018</year>
<volume>185</volume>
<page-range>474-82</page-range></nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[Q. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Geng]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Dynamic modeling of piezoceramic polymer composite with 2-2 connectivity]]></article-title>
<source><![CDATA[Journal of Applied Physics]]></source>
<year>1994</year>
<volume>76</volume>
<page-range>6014-6</page-range></nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zeng]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Bao]]></surname>
</name>
<name>
<surname><![CDATA[Yi]]></surname>
<given-names><![CDATA[G. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Jiang]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Study on electronic structures and mechanical properties of new predicted orthorhombic Mg2SiO4 under high pressure]]></article-title>
<source><![CDATA[Journal of Alloys and Compounds]]></source>
<year>2015</year>
<numero>630</numero>
<issue>630</issue>
<page-range>11-22</page-range></nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zhou]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Shen]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Liu]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Gao]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Jia]]></surname>
<given-names><![CDATA[Ch.]]></given-names>
</name>
<name>
<surname><![CDATA[Jiang]]></surname>
<given-names><![CDATA[Ch.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Strong Nonvolatile Magnon-Driven Magnetoelectric Coupling in Single-Crystal]]></article-title>
<source><![CDATA[Physical Review Applied]]></source>
<year>2017</year>
<volume>9</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>014006-14</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
