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Nonlinear stability of curved multi-phase composite panels: influence of agglomeration in randomly distributed carbon nanotubes with non-uniform in-plane loads

Nonlinear stability of curved multi-phase composite panels: influence of agglomeration in randomly distributed carbon nanotubes with non-uniform in-plane loads
Nonlinear stability of curved multi-phase composite panels: influence of agglomeration in randomly distributed carbon nanotubes with non-uniform in-plane loads
The nonlinear stability characteristics of doubly curved panels made of three-phase composites with randomly dispersed carbon nanotubes (RD-CNTRFC) subjected to practically-relevant non-uniform in-plane loads are investigated in this study. Carbon nanotubes, when mixed with resin polymer, may give rise to bundles, termed as agglomerations, which can have a profound impact on the effective material properties. There exists a strong rationale to investigate the influence of such agglomeration on the nonlinear equilibrium path of panels, which can subsequently be included in the structural stability design process to enhance operational safety. A multi-stage bottom-up numerical framework is developed here to probe the nonlinear stability characteristics. The effective material properties of RD-CNTRFC panels are determined using the Eshelby-Mori-Tanaka approach and the Chamis method of homogenization. By considering von-Kármán non-linearity and Reddy's higher-order shear deformation theory, strain-displacement relations are established for the non-linear stability analysis. The governing partial differential equations are simplified into nonlinear algebraic relations using Galerkin's method. Subsequently, by reducing the stiffness matrix neglecting the non-linear terms and solving the Eigenvalue problem, we obtain critical load and non-linear stability path of shell panels based on arc-length approach. In the present study, various shell geometries such as cylindrical, elliptical, spherical and hyperbolic shapes are modeled along with the flat plate-like geometry to investigate the non-linear equilibrium paths, wherein a geometry-dependent programmable softening and hardening behavior emerges.
Doubly curved shells, Postbuckling analysis of composites, Programmable softening and hardening behavior, Randomly distributed carbon nanotubes (CNTs), Three-phase composites
0893-1321
Chakraborty, S.
a38245f8-12a1-4b7b-a262-cf3a1cc2b6a2
Naskar, S.
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Dey, T.
00404e81-ee1b-405b-902a-87ab5719d3a6
Kumar, R.
8bab93c4-1a43-4927-a234-db06c7a56b28
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Chakraborty, S.
a38245f8-12a1-4b7b-a262-cf3a1cc2b6a2
Naskar, S.
5f787953-b062-4774-a28b-473bd19254b1
Dey, T.
00404e81-ee1b-405b-902a-87ab5719d3a6
Kumar, R.
8bab93c4-1a43-4927-a234-db06c7a56b28
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475

Chakraborty, S., Naskar, S., Dey, T., Kumar, R. and Mukhopadhyay, T. (2024) Nonlinear stability of curved multi-phase composite panels: influence of agglomeration in randomly distributed carbon nanotubes with non-uniform in-plane loads. Journal of Aerospace Engineering, 37 (3), [04024015]. (doi:10.1061/JAEEEZ.ASENG-5297).

Record type: Article

Abstract

The nonlinear stability characteristics of doubly curved panels made of three-phase composites with randomly dispersed carbon nanotubes (RD-CNTRFC) subjected to practically-relevant non-uniform in-plane loads are investigated in this study. Carbon nanotubes, when mixed with resin polymer, may give rise to bundles, termed as agglomerations, which can have a profound impact on the effective material properties. There exists a strong rationale to investigate the influence of such agglomeration on the nonlinear equilibrium path of panels, which can subsequently be included in the structural stability design process to enhance operational safety. A multi-stage bottom-up numerical framework is developed here to probe the nonlinear stability characteristics. The effective material properties of RD-CNTRFC panels are determined using the Eshelby-Mori-Tanaka approach and the Chamis method of homogenization. By considering von-Kármán non-linearity and Reddy's higher-order shear deformation theory, strain-displacement relations are established for the non-linear stability analysis. The governing partial differential equations are simplified into nonlinear algebraic relations using Galerkin's method. Subsequently, by reducing the stiffness matrix neglecting the non-linear terms and solving the Eigenvalue problem, we obtain critical load and non-linear stability path of shell panels based on arc-length approach. In the present study, various shell geometries such as cylindrical, elliptical, spherical and hyperbolic shapes are modeled along with the flat plate-like geometry to investigate the non-linear equilibrium paths, wherein a geometry-dependent programmable softening and hardening behavior emerges.

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nonlinearstabilitycomposite-2-34 - Accepted Manuscript
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Submitted date: 11 June 2023
Accepted/In Press date: 7 November 2023
e-pub ahead of print date: 2 February 2024
Keywords: Doubly curved shells, Postbuckling analysis of composites, Programmable softening and hardening behavior, Randomly distributed carbon nanotubes (CNTs), Three-phase composites

Identifiers

Local EPrints ID: 484225
URI: http://eprints.soton.ac.uk/id/eprint/484225
ISSN: 0893-1321
PURE UUID: bc832e68-4c9f-47ab-973b-1935fa258740
ORCID for S. Naskar: ORCID iD orcid.org/0000-0003-3294-8333
ORCID for T. Mukhopadhyay: ORCID iD orcid.org/0000-0002-0778-6515

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Date deposited: 13 Nov 2023 18:41
Last modified: 08 May 2024 02:05

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Contributors

Author: S. Chakraborty
Author: S. Naskar ORCID iD
Author: T. Dey
Author: R. Kumar
Author: T. Mukhopadhyay ORCID iD

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