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Magneto-electro-elastic multilayered plate with viscoelastic interlayer
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DOI：10.1080/15376494.2026.2689486.png)
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Abstract
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This article presents a rigorous analytical framework for studying the time-dependent multi-field distributions in N-layered magneto-electro-elastic (MEE) laminated rectangular plates featuring viscoelastic interlayers. The mechanical behavior of the adhesive layers is characterized using the standard linear solid model to incorporate strain memory effects, while the electromagnetic interfaces are treated as weakly conducting. The governing equations are formulated using a pseudo-Stroh formalism and solved via the propagator matrix method in the Laplace domain. By employing a double Fourier series expansion for simply-supported, orthotropic layers, the transient response is reconstructed through numerical Laplace inversion. A detailed parametric study is conducted on a BaTiO3/CoFe2O4/BaTiO3 sandwich laminate with epoxy interlayers. The results demonstrate that the viscoelastic nature of the interfaces significantly governs the evolutionary kinetics of the system. Specifically, an increase in the interlayer thickness or relaxation time markedly extends the transient period. Conversely, a higher long-term shear modulus accelerates convergence toward the steady-state. Furthermore, it is shown that under minimal transient conditions, conventional elastic methods provide a reliable approximation for steady-state distributions. This study provides a robust tool for the design and long-term reliability assessment of MEE-based smart sensors and actuators.
Keywords:
Magneto-electro-elastic laminate
viscoelastic interlayer
pseudo-Stroh formalism
Laplace transformation
equivalent elastic method
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