article · Journal of Sandwich Structures & Materials
An analytical model evaluates the bending behaviour of three-layer curved nanobeams resting on a Pasternak foundation. The examined structural configuration comprises a central nanocore flanked by two piezomagnetic face-sheets under combined electric and magnetic potentials. To improve accuracy, the displacement field of the curved nanobeams is formulated using sinusoidal shear deformation theory. Governing equations for the bending response are established via the principle of virtual work, drawing on nonlocal electro-magneto-elasticity relations to account for nanoscale size effects. The analytical formulation is applied to a simply supported curved nanobeam, detailing how foundational spring and shear factors, applied electric and magnetic fields, nonlocal scaling parameters, and the structural radius of curvature influence the resulting vibration and bending responses.
Understanding how nanoscale sandwich structures deform under combined mechanical, electrical, and magnetic influences is important for theoretical mechanics. By capturing size-dependent effects and foundation interactions, this analytical framework provides precise mathematical tools to predict how multi-layered smart components behave under coupled physical loads.
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In this work, an analytical solution for bending analysis of the three-layer curved nanobeams is presented. The nanobeams are including a nanocore and two piezomagnetic face-sheets. The structure is subjected to applied electric and magnetic potentials while is resting on Pasternak's foundation. To reach more accurate results, sinusoidal shear deformation theory is employed to derive displacement field of the curved nanobeams. In addition, nonlocal electro-magneto-elasticity relations are employed to derive governing equations of bending based on the principle of virtual work. The analytical results are presented for simply supported curved nanobeam to discuss the influence of important parameters on the vibration and bending results. The important parameters are included spring and shear parameters of the foundation, applied electric and magnetic potentials, nonlocal parameter, and radius of curvature of curved nanobeam.
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DOI: 10.1177/1099636217723186
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