Analysis of 1D Magneto-Electro-Elastic Smart Beam using 2D Finite Elements

Multiphase Magneto-Electro-Elastic (MEE) 1D beams of BaTiO_3-CoFe₂O₄smart composite are modeled. The Six multiphase beams are obtained by varying <i>V</i>_<em>f</em> of BaTiO₃ in BaTiO_3-CoFe₂O₄, in steps of 20%, from 0% to 100%, to capture the electric, magnetic, and elastic behavior effectively. The 2D FE model for the smart beam is developed using constitutive equations of 3D MEE solid. The FE model uses 2D iso-parametric finite elements with four <i>dof</i>/<i>node</i> to compute the transverse displacement, electric &amp; magnetic potential, induced stresses, and electric &amp; magnetic variables. The developed 2D FE model is validated and effectively calculates the magnetoelectric effect in the multiphase smart 1D beams. The study is extended for two end conditions of MEE beam, (viz., simply supported and cantilever) and two types of mechanical loads. (viz., UDL and point loads).