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Stability analysis of nanobeams placed in electromagnetic field using a finite element method

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Abstract

In this work, the buckling analysis of the nanobeams placed in electromagnetic field is presented via a nonlocal finite element method based on Eringen’s nonlocal elasticity theory. The governing differential equation is derived by implementing minimum total potential energy principle. A finite element method is proposed for solution of nonlocal buckling of nanobeam placed in electromagnetic field. The contribution of this article is the use of interpolation functions and the nonlocal elasticity theory to form the stiffness matrices and geometric stiffness matrices of the electromagnetic nanobeam for buckling analysis. A detailed study is performed to indicate the influences of some parameters such as Hartmann parameter (Ha), mode number (n), nonlocal parameter (e0a), length of nanobeam (L), and boundary conditions on the buckling loads of Euler-Bernoulli nanobeams. The values of buckling load of electromagnetic nanobeams are obtained via a finite element solution, examined through several numerical examples, and demonstrated by tables and graphs.

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Authors and Affiliations

  1. Research Center for Interneural Computing University, China Medical University, Taichung, Taiwan

    Ömer Civalek

  2. Department of Civil Engineering, Faculty of Engineering, Bursa Uludag University, Görükle Campus, 16059, Bursa, Turkey

    Büşra Uzun & Mustafa Özgür Yaylı

Authors
  1. Ömer Civalek
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  2. Büşra Uzun
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  3. Mustafa Özgür Yaylı
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Correspondence to Büşra Uzun.

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Responsible Editor: Amjad Kallel

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Civalek, Ö., Uzun, B. & Yaylı, M.Ö. Stability analysis of nanobeams placed in electromagnetic field using a finite element method. Arab J Geosci 13, 1165 (2020). https://doi.org/10.1007/s12517-020-06188-8

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  • DOI: https://doi.org/10.1007/s12517-020-06188-8

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