Nonlinear deformation for thermo-magneto-electro-elastic (TMEE) laminates (Q6546179)

The authors consider the static deformation of laminate structures of thermo-magneto-electro-elastic (TMEE) materials subjected to a uniform mechanical load.\N\NThe various thermo-magneto-electro-elastic cross-couplings are accounted for, between the elastic stresses, the electric polarization and magnetization, with temperature effects in classical thermodynamics, under von Karman's nonlinear strain assumptions for large deflections and Kirchhoff thin plate theory.\N\NThe Bubnov-Galerkin method is used to transform the nonlinear governing equation into a cubic equation for the maximum deflection for the rectangular plate with simply supported boundary conditions. Two kinds of composite laminates are considered: a bi-layered BaTiO3-CoFe2O4 composite, and a tri-layered laminate with CoFe2O4 stacked upon BaTiO3 on an epoxy substrate.\N\NNumerical results are presented and discussed, the methodology is validated, and the deflection curve versus the magnitude of applied load is depicted. It is noticed that the consideration of thermal behavior of TMEE's can be favorably used to design structures with greater tolerances and to lower risks.