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The homogenization, mathematically applicable to heterogeneous media with contrasts in physical properties, replaces the heterogeneity of the multiferroics by an equivalent effective medium with uniform physical characteristics. A statistically representative unit-cell is proposed to encompass all forms of multiferroics and their composites in bulk. The variational formulation of the coupled magneto-electromechanical problem reveals the nature of interaction between mechanical, electrical, and magnetic fields of a multiferroic at a microscopic scale with high resolution. Furthermore, the mathematical homogenization theory of the multiferroic is implemented in finite element method by solving the coupled equilibrium electrical, magnetic, and mechanical fields. A \u201cmultiferroic finite element\u201d is conceived for this purpose. The model is applied to a two-phase multiferroic magnetoelectric composite to demonstrate its validity by characterizing the equivalent physical properties.<\/jats:p>","DOI":"10.1177\/1045389x13502877","type":"journal-article","created":{"date-parts":[[2013,10,23]],"date-time":"2013-10-23T21:22:28Z","timestamp":1382563348000},"page":"1243-1255","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":31,"title":["A generic homogenization model for magnetoelectric multiferroics"],"prefix":"10.1177","volume":"25","author":[{"given":"Kuzhichalil P","family":"Jayachandran","sequence":"first","affiliation":[{"name":"IDMEC, Instituto Superior T\u00e9cnico, Technical University of Lisbon, Lisbon, Portugal"}]},{"given":"Jose M","family":"Guedes","sequence":"additional","affiliation":[{"name":"IDMEC, Instituto Superior T\u00e9cnico, Technical University of Lisbon, Lisbon, Portugal"}]},{"given":"Helder 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