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Load-Carrying Capacity of Ultra-Thin Shells with and without CNTs Reinforcement

Author

Listed:
  • Tan N. Nguyen

    (Department of Architectural Engineering, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul 05006, Korea)

  • L. Minh Dang

    (Department of Information Technology, FPT University, Ho Chi Minh City 700000, Vietnam)

  • Jaehong Lee

    (Deep Learning Architecture Research Center, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul 05006, Korea)

  • Pho Van Nguyen

    (School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore)

Abstract

Isotropic ultra-thin shells or membranes, as well as cable–membrane structures, cannot resist loads at the initial state and always require a form-finding process to reach the steady state. After this stage, they can work in a pure membrane state and quickly experience large deflection behavior, even with a small amplitude of load. This paper aims to improve the load-carrying capacity and strength of membrane structures via exploiting the advantages of functionally graded carbon-nanotube-reinforced composite (FG-CNTRC) material. In this work, the load-carrying capacity and nonlinear behavior of membrane structures with and without CNTs reinforcement are first investigated using a unified adaptive approach (UAA). As an advantage of UAA, both form finding and postbuckling analysis are performed conveniently and simultaneously based on a modified Riks method. Different from the classical membrane theory, the present theory (first-order shear deformation theory) simultaneously takes into account the membrane, shear and bending strains/stiffnesses of structures. Accordingly, the present formulation can be applied adaptively and naturally to various types of FG-CNTRC structures: plates, shells and membranes. A verification study is conducted to show the high accuracy of the present approach and formulation. Effects of CNTs distribution, volume fraction, thickness, curvature, radius-to-thickness and length-to-radius ratios on the form-finding and postbuckling behavior of FG-CNTRC membranes are particularly investigated. In particular, equilibrium paths of FG-CNTRC membrane structures are first provided in this paper.

Suggested Citation

  • Tan N. Nguyen & L. Minh Dang & Jaehong Lee & Pho Van Nguyen, 2022. "Load-Carrying Capacity of Ultra-Thin Shells with and without CNTs Reinforcement," Mathematics, MDPI, vol. 10(9), pages 1-25, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1481-:d:804947
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    References listed on IDEAS

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    1. Nguyen, Vinh Phu & Anitescu, Cosmin & Bordas, Stéphane P.A. & Rabczuk, Timon, 2015. "Isogeometric analysis: An overview and computer implementation aspects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 117(C), pages 89-116.
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