Akademik Veri Yönetim Sistemi
Archive of Applied Mechanics, cilt.96, sa.4, 2026 (SCI-Expanded, Scopus)
The increasing application of coated functionally graded materials (FGM) in industrial engineering has underscored the need for accurate modeling, particularly for multilayered magneto-electro-piezoelectric (MEE) microstructures. This study examines the static bending and free vibration of a bi-coated MEE-FG microbeam using a refined higher-order beam theory combined with the differential quadrature finite element method (DQ-FEM). The material gradation through the thickness and width is described by a power-law formulation. The microbeam consists of two materials: one with MEE properties and another without. To incorporate microstructural effects, the modified couple stress theory (MCST) is employed. Lagrange's theorem and the Gauss–Lobatto node scheme are used to derive the governing equations, providing a robust and efficient theoretical framework. Unlike traditional models that rely on simplified beam theories or neglect size-dependent effects, the proposed methodology offers enhanced accuracy by integrating quasi-3D kinematics, microstructural length scale parameters, and a flexible numerical scheme that allows for precise modeling of multilayered coatings and multi-field coupling effects. This approach not only improves computational efficiency but also extends applicability to a wider range of boundary conditions and material gradations. The accuracy of the proposed method is validated by comparing results with existing literature. The study investigates the influence of key parameters such as thickness, FG material gradation index, and the MEE mixture percentage ratio on the natural frequencies and static bending behavior. These findings provide critical insights into the performance of MEE-FG microbeams under varying conditions and demonstrate the superiority of the proposed framework for advanced microscale device modeling.