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Keywords
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Buckling and post-buckling, Closed-form solution, Magnetoelectric plate strip, Size-dependent theories, Piezo-flexoelectric, Piezo-flexomagnetic
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Abstract
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In the present work, closed-form solutions for the linear and nonlinear stability of the magnetoelectric
nanoplate strips consisting of piezo-flexoelectric and piezo-flexomagnetic layers are presented. In the framework
of the nonlocal strain gradient and first-order shear deformation theories, magneto-electro-mechanical
responses are obtained for simply supported and clamped end conditions. Excellent agreements are observed
between the obtained results and the existing literature. The effect of several parameters on critical buckling
load and post-buckling path is investigated. Our outcomes reveal that the post-buckling load-carrying
capacity increases considerably in the case of a double-layer ME nano-plate strip compared to a single-layer
(piezo-flexoelectric and piezo-flexomagnetic) with the same thickness and length. Further, the post-buckling
deformation decreases with a decrease in initial electric voltage and an increase in initial magnetic potential.
The closed-form solutions and numerical results of this work are useful for future analyses and the design of
such nanostructures.
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