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With the increasing technological applications of piezoelectric and piezomagnetic materials in smart structures, the problems associated with magneto-electro-elastic materials have gained considerable attention recently.There exhibit a coupling effect between electric and magnetic fields in these materials, which can be applied in smart structures.These materials have the ability to convert energy from one form to another,for example magnetic, electric and mechanical energy.Researches on static and dynamic behavior of magneto-electro-elastic materials have been done in literature.