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Magnetic field effects on buckling behavior of smart size-dependent graded nanoscale beams

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Abstract.

In this article, buckling behavior of nonlocal magneto-electro-elastic functionally graded (MEE-FG) beams is investigated based on a higher-order beam model. Material properties of smart nanobeam are supposed to change continuously throughout the thickness based on the power-law model. Eringen's nonlocal elasticity theory is adopted to capture the small size effects. Nonlocal governing equations of MEE-FG nanobeam are obtained employing Hamilton's principle and they are solved using the Navier solution. Numerical results are presented to indicate the effects of magnetic potential, electric voltage, nonlocal parameter and material composition on buckling behavior of MEE-FG nanobeams. Therefore, the present study makes the first attempt in analyzing the buckling responses of higher-order shear deformable (HOSD) MEE-FG nanobeams.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

    Farzad Ebrahimi & Mohammad Reza Barati

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  1. Farzad Ebrahimi
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  2. Mohammad Reza Barati
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Correspondence to Farzad Ebrahimi.

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Ebrahimi, F., Reza Barati, M. Magnetic field effects on buckling behavior of smart size-dependent graded nanoscale beams. Eur. Phys. J. Plus 131, 238 (2016). https://doi.org/10.1140/epjp/i2016-16238-8

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  • DOI: https://doi.org/10.1140/epjp/i2016-16238-8

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