A four-node MITC finite element for magneto-electro-elastic multilayered plates

Variable kinematics models and finite elements for nonlinear analysis of multilayered smart plates

“…It is only remarked that selective and reduced integrations can be employed to deal simply with locking phenomena [31]; however more complex and effective finite element formulations could be analogously implemented (e.g. [32]), but they are out of the scope of the present paper.…”

Geometrically nonlinear static FE-simulation of multilayered magneto-electro-elastic composite structures

“…Layerwise and equivalent single layer models are developed for MEE plates by Milazzo [22] and later the same author extended to free vibration analysis with refined equivalent single layer approach [23] and also to higher order model by assuming fourth order strains throughthickness distribution [24]. However, the recent papers on large deflections are limited to either plates [25,20,19,18] or simplified assumptions of field variables like von Kármán type nonlinear theories [26,21,22,23,24] and linear assumption of electro-magnetic potentials [19,25,26].…”

“…Sladek et al [20] presented meshless local Petrov-Galerkin method to analyze the large deflections of MEE plates by adopting von Kármán type nonlinear strain-displacement relations based on Reissner-Mindlin theory. Most recently, Milazzo et al [18] extended the small deflection MITC plate element for multilayered MEE plates to large deflections [21] by considering von Kármán type nonlinearity in the first-order shear deformation (FOSD) formulation. Ray and Kattimani [25,26] developed a solid element for vibration damping of MEE plates and shells using active constrained piezopatches based on von Kármán type nonlinearity in FOSD formulation and with the assumption of linear electro-magnetic potentials through the thickness.…”

“…Daga et al [17] analyzed transient response of multiphase magneto-electro-elastic sensors using 3D elements with different MEE materials. Recently, Milazzo et al [18] proposed an equivalent single layered MITC plate element to analyze MEE multilayered plates by condensing the electromagnetic state into mechanical primary variables and also by neglecting in-plane components of electric and magnetic field.…”

“…By assuming certain material symmetry in MEE materials and poling direction along the thickness (z-direction), the following matrices are given in plane-deformation problems (see [18], [19], [20]) as…”