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A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field

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Abstract

In this study, nonlocal nonlinear buckling analysis of embedded polymeric temperature-dependent microplates resting on an elastic matrix as orthotropic temperature-dependent elastomeric medium is investigated. The microplate is reinforced by single-walled carbon nanotubes (SWCNTs) in which the equivalent material properties of nanocomposite are estimated based on the rule of mixture. Due to magnetic properties of SWCNTs, the structure is subjected to magnetic field. For the Carbon-nanotube reinforced composite (CNTRC) plate, both cases of Uniform distribution (UD) and Functionally graded (FG) distribution patterns of SWCNT reinforcements are considered. The small size effects of microplate are considered based on Eringen’s nonlocal theory. Based on orthotropic Mindlin plate theory along with von Kármán geometric nonlinearity and Hamilton’s principle, the governing equations are derived. Generalized differential quadrature method (GDQM) is applied for obtaining the buckling load of system. The effects of different parameters such as magnetic field, nonlocal parameters, volume fractions of SWCNTs, distribution type of SWCNTs in polymer, elastomeric medium, aspect ratio and temperature are considered on the nonlinear buckling of the microplate. Results indicate that the buckling load increases with increasing magnetic field.

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Authors and Affiliations

  1. Department of Civil Engineering, Jasb Branch, Islamic Azad University, Jasb, Iran

    Reza Kolahchi & Mahmood Rabani Bidgoli

  2. Young Researchers and Elite Club, Bandarabbas Branch, Islamic Azad University, Bandarabbas, Iran

    Gholamhossein Beygipoor

  3. Department of Mechanical Engineering, Kashan Branch, Islamic Azad University, Kashan, Iran

    Mohammad Hosein Fakhar

Authors
  1. Reza Kolahchi
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  2. Mahmood Rabani Bidgoli
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  3. Gholamhossein Beygipoor
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  4. Mohammad Hosein Fakhar
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Corresponding author

Correspondence to Reza Kolahchi.

Additional information

Recommended by Editor Chongdu Cho

Reza Kolahchi received his B.S. degree from the Islamic Azad University in Kashan, Iran, in 2008. He then received his M.Sc. degree from Kashan University in Kashan, Iran, in 2010 and his Ph.D. degree from the Kashan University in Kashan, Iran, in 2014. His research interests are nanomechanics, vibration, buckling, smart materials and FGMs.

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Kolahchi, R., Bidgoli, M.R., Beygipoor, G. et al. A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field. J Mech Sci Technol 29, 3669–3677 (2015). https://doi.org/10.1007/s12206-015-0811-9

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  • DOI: https://doi.org/10.1007/s12206-015-0811-9

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