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Buckling analysis of CNT-reinforced beams with arbitrary boundary conditions

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Abstract

Axial buckling characteristics of nanocomposite beams reinforced by single-walled carbon nanotubes (SWCNTs) are investigated. Various types of beam theories namely as Euler–Bernoulli beam theory, Timoshenko beam theory and Reddy beam theory are used to analyze the buckling behavior of carbon nanotube-reinforced composite beams. Generalized differential quadrature (GDQ) method is utilized to discretize the governing differential equations along with four commonly used boundary conditions. The material properties of the nanocomposite beams are obtained using molecular dynamic (MD) simulation corresponding to both of short-(10,10) SWCNT and long-(10,10) SWCNT composites which are embedded by amorphous polyethylene matrix. Then the results obtained directly from MD simulations are matched with those calculated by the rule of mixture to extract appropriate values of carbon nanotube efficiency parameters accounting for the scale-dependent material properties. Selected numerical results are presented to indicate the influences of nanotube volume fraction and end supports on the critical axial buckling loads of nanoconposite beams relevant to long- and short-nanotube composites.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran

    A. M. Fattahi & Babak Safaei

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  1. A. M. Fattahi
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  2. Babak Safaei
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Correspondence to A. M. Fattahi.

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Fattahi, A.M., Safaei, B. Buckling analysis of CNT-reinforced beams with arbitrary boundary conditions. Microsyst Technol 23, 5079–5091 (2017). https://doi.org/10.1007/s00542-017-3345-5

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  • DOI: https://doi.org/10.1007/s00542-017-3345-5

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