Nonlinear static analysis of magnetostrictive laminated composite plate

Abstract

A third order shear deformation theory is used to study the nonlinear static behavior of laminated smart composite plate with magnetostrictive layer. In this study, geometric nonlinearity is taken in Green-Lagrange sense and Terfenol-D is used as a magnetostrictive material. In addition to that, the stresses are obtained using coupled equation through the constitutive relation by considering the effect of magnetic field induction. A C0 finite element formulation is proposed to discretize the present model and the governing equations are obtained using the minimization of the total potential energy theorem. Non-dimensionalized displacements and in plane stresses are computed for the laminated plate with and without magnetostrictive layer. The results are compared with these available literatures. An ANSYS model has also been developed for the said problem and few results are obtained and compared with available exact/numerical results