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Abstract
Abstract— This work investigates the mathematical framework for describing nonlinear magneto-electro-mechanical interactions in thin elastic plates of complex geometry. Special attention is given to the coupled behavior of electromagnetic fields and elastic responses, incorporating nonlinear constitutive relations and geometrically intricate boundaries. By applying Hamilton’s variational principle, a unified system of nonlinear partial differential equations is derived, integrating mechanical and electromagnetic energy terms. Analytical methods combined with numerical simulations are employed to evaluate stress distributions, deformation modes, and multiphysical field coupling under varying boundary conditions and external excitations
References
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