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A multiscale nonlinear finite element model for analysis and design of the deformation gradient and the magnetic field distribution in Terfenol-D/epoxy thin film device under Transverse Magnetic (TM) mode of operation is developed in this work. A phenomenological constitutive model based on the density of domain switching (DDS) of an ellipsoidal inclusion in unit cell of matrix is implemented. A sub-grid scale homogenization technique is employed to upwind the microstructural information. A general procedure to ensure the solution convergence toward an approximate inertial manifold is reported.

Multiscale Finite Element Modeling of the Coupled Nonlinear Dynamics of Magnetostrictive Composite Thin Film