Abstract
The analytical solution of a layered thin magneto-electro-elastic rectangular plate is presented. The governing equation is based on classical laminate plate theory and von Karman's stress function; capturing the effects of moderately large deflection. Electromagnetic fields are determined in terms of mechanical unknowns by solving Maxwell's equations of electrostatics and magnetostatics. The condensation of electric and magnetic state into plate kinematics, coupled with stress function definition, derives the governing non-linear partial differential equation of motion. Solution for both simply supported and clamped transverse boundary condition is obtained using Galerkin method, which reduces the system into an ordinary differential equation of cubic and quadratic nonlinearity. Numerical results of laminated plate with constituent piezoelectric barium titanite and piezomagnetic cobalt ferrite is produced utilizing electromagnetic boundary and continuity conditions. The effect of transverse elastic boundary condition on through the thickness variation of electric and magnetic potential under linear and moderately large deflection is produced.
Published Version
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