Load-carrying capacity of ultra-thin shells with and without CNTs reinforcement

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, eve...

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Main Authors: Nguyen, Tan N., Dang, L. Minh, Lee, Jaehong, Nguyen, Pho Van
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2023
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Online Access:https://hdl.handle.net/10356/164841
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Institution: Nanyang Technological University
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spelling sg-ntu-dr.10356-1648412023-02-20T02:36:02Z Load-carrying capacity of ultra-thin shells with and without CNTs reinforcement Nguyen, Tan N. Dang, L. Minh Lee, Jaehong Nguyen, Pho Van School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Load-Carrying Capacity Nonlinear Behavior 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. Published version This research was funded by National Research Foundation of Korea grant number NRF2020R1A4A2002855. 2023-02-20T02:36:01Z 2023-02-20T02:36:01Z 2022 Journal Article Nguyen, T. N., Dang, L. M., Lee, J. & Nguyen, P. V. (2022). Load-carrying capacity of ultra-thin shells with and without CNTs reinforcement. Mathematics, 10(9), 10091481-. https://dx.doi.org/10.3390/math10091481 2227-7390 https://hdl.handle.net/10356/164841 10.3390/math10091481 2-s2.0-85129893960 9 10 10091481 en Mathematics © 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Mechanical engineering
Load-Carrying Capacity
Nonlinear Behavior
spellingShingle Engineering::Mechanical engineering
Load-Carrying Capacity
Nonlinear Behavior
Nguyen, Tan N.
Dang, L. Minh
Lee, Jaehong
Nguyen, Pho Van
Load-carrying capacity of ultra-thin shells with and without CNTs reinforcement
description 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.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Nguyen, Tan N.
Dang, L. Minh
Lee, Jaehong
Nguyen, Pho Van
format Article
author Nguyen, Tan N.
Dang, L. Minh
Lee, Jaehong
Nguyen, Pho Van
author_sort Nguyen, Tan N.
title Load-carrying capacity of ultra-thin shells with and without CNTs reinforcement
title_short Load-carrying capacity of ultra-thin shells with and without CNTs reinforcement
title_full Load-carrying capacity of ultra-thin shells with and without CNTs reinforcement
title_fullStr Load-carrying capacity of ultra-thin shells with and without CNTs reinforcement
title_full_unstemmed Load-carrying capacity of ultra-thin shells with and without CNTs reinforcement
title_sort load-carrying capacity of ultra-thin shells with and without cnts reinforcement
publishDate 2023
url https://hdl.handle.net/10356/164841
_version_ 1759058809995657216