MITC FINITE ELEMENTS FOR MAGNETO-ELECTRO-ELASTICPLATES BASED ON EQUIVALENT SINGLE-LAYER THEORY

Finite elements for magneto-electro-elastic laminated plates are formulated. Theyare based on an equivalent single-layer model, which assumes the first order shear deformationtheory and quasi-static behavior for the electric and magnetic fields. To infer the platemodel, the electro-magnetic state is firstly determined and condensed to the the mechanicalprimary variables, namely the generalized displacements. In turn, this result is used into thelayers constitutive law to obtain the equivalent single-layer laminate constitutive relationshipthat expresses the plate mechanical stress resultants in terms of the generalized displacementstaking the magneto-electro-elastic couplings into account. The weak form of the mechanicalequilibrium equations is then written and used to formulate the finite element matrices. Numericalresults obtained by implementing an isoparametric four-node MITC finite element arepresented to show the features and potentiality of the approach.