4.7 Article

Flexomagnetic response of buckled piezomagnetic composite nanoplates

Journal

COMPOSITE STRUCTURES
Volume 267, Issue -, Pages -

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2021.113932

Keywords

Composite plate; Flexomagnetic; Critical buckling load; Nonlocal strain gradient theory; Analytical solution

Funding

  1. Government of the Russian Federation [14, Z50.31.0046]

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This paper investigates the buckling of a magnetic composite nanoplate under the influence of an in-plane one-dimensional magnetic field, considering the concept of flexomagnetic. The critical buckling load is obtained for different support conditions, and the effects of nonlocal parameter, sheet aspect ratio, and one-dimensional magnetic field on critical load are discussed. It is found that the flexomagnetic response is more noticeable when the nanoplate is rectangular and the aspect ratio is less than one.
In this paper, the equation governing the buckling of a magnetic composite nanoplate under the influence of an in-plane one-dimensional magnetic field, assuming the concept of flexomagnetic and considering the resulting flexural force and moment, is investigated for the first time by different analytical boundary conditions. To determine the equation governing the stability of the nanoplate, the nonlocal strain gradient theory has been used by taking into account the classical plate theory. The axial magnetic force, which is originated from the magnetic field, is investigated. After extracting the governing differential equation, the critical buckling load is obtained for different support conditions. The effect of nonlocal parameter, sheet aspect ratio and the effect of one-dimensional magnetic field on critical load are discussed. It was earned that if the nanoplate is rectangular so that the value of aspect ratio is less than one, the flexomagnetic response will be more noticeable.

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