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Nonlinear bending analysis of functionally graded CNT-reinforced composite Mindlin polymeric temperature-dependent plate resting on orthotropic elastomeric medium using GDQM

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Abstract

This research deals with the nonlinear bending analysis of nanocomposite polymeric temperature-dependent plates reinforced by single-walled carbon nanotubes (SWCNTs) subjected to a transverse uniform load. For the carbon nanotube-reinforced composite (CNTRC) plate, uniform distribution and three types of functionally graded (FG) distribution patterns of SWCNT reinforcements are assumed. The material properties of FG-CNTRC plate are graded in the thickness direction and estimated based on the rule of mixture. The CNTRC is located in an orthotropic temperature-dependent elastomeric medium. Based on orthotropic Mindlin plate theory along with von Kármán geometric nonlinearity, the governing equations are derived using Hamilton’s principle and discretized by generalized differential quadrature method. The influences of the volume fractions of carbon nanotubes, elastomeric medium, aspect ratio, temperature, boundary conditions and applied force are considered on the nonlinear bending of the plate. Results indicate that CNT distribution close to top and bottom is more efficient than that distributed nearby the mid-plane for increasing the stiffness of plates. Furthermore, considering elastomeric medium decreases deflection of the FG-CNTRC plate. Results show good agreement with the solutions obtained by the finite element method and ANSYS software.

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Authors and Affiliations

  1. Young Researchers and Elite Club, Kashan Branch, Islamic Azad University, Kashan, Iran

    Mohammad Mehdi Heydari & Ali Hafizi Bidgoli

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

    Hamid Reza Golshani

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

    Gholamhossein Beygipoor

  4. Department of Polymer Engineering, Kashan Branch, Islamic Azad University, Kashan, Iran

    Afshin Davoodi

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  1. Mohammad Mehdi Heydari
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  2. Ali Hafizi Bidgoli
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  3. Hamid Reza Golshani
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  4. Gholamhossein Beygipoor
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Correspondence to Mohammad Mehdi Heydari.

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Heydari, M.M., Hafizi Bidgoli, A., Golshani, H.R. et al. Nonlinear bending analysis of functionally graded CNT-reinforced composite Mindlin polymeric temperature-dependent plate resting on orthotropic elastomeric medium using GDQM. Nonlinear Dyn 79, 1425–1441 (2015). https://doi.org/10.1007/s11071-014-1751-0

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  • DOI: https://doi.org/10.1007/s11071-014-1751-0

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