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Elastic buckling of current-carrying double-nanowire systems immersed in a magnetic field

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Abstract

Axial buckling analysis of magnetically affected double-nanowire systems carrying electric current is of high interest. Using Lorentz and Biot–Savart laws, the magnetic forces on each nanowire are appropriately evaluated. By employing Timoshenko and higher-order beam theories, the governing equations of the nanosystem are extracted in the context of the surface elasticity theory of Gurtin–Murdoch. By applying a meshless technique, the critical buckling load of the nanosystem is calculated. In a particular case, the predicted results by the suggested numerical methodology are also verified with those of the assumed mode method, and a reasonably good agreement is achieved. The influences of the electric current, magnetic field strength, interwire distance, and surface energy effect on the buckling behavior of the nanosystem are examined. The capability of the Timoshenko beam theory in capturing the predicted results by the higher-order beam theory is also explained.

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  1. Department of Civil Engineering, K.N. Toosi University of Technology, Valiasr Ave., P.O. Box 15875-4416, Tehran, Iran

    Keivan Kiani

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  1. Keivan Kiani
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Kiani, K. Elastic buckling of current-carrying double-nanowire systems immersed in a magnetic field. Acta Mech 227, 3549–3570 (2016). https://doi.org/10.1007/s00707-016-1679-1

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  • DOI: https://doi.org/10.1007/s00707-016-1679-1

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