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.
Chakraborty, Sumeet
a38245f8-12a1-4b7b-a262-cf3a1cc2b6a2
Naskar, Susmita
5f787953-b062-4774-a28b-473bd19254b1
Dey, Tanish
00404e81-ee1b-405b-902a-87ab5719d3a6
Kumar, Rajesh
8bab93c4-1a43-4927-a234-db06c7a56b28
Mukhopadhyay, Tanmoy
2ae18ab0-7477-40ac-ae22-76face7be475
Chakraborty, Sumeet
a38245f8-12a1-4b7b-a262-cf3a1cc2b6a2
Naskar, Susmita
5f787953-b062-4774-a28b-473bd19254b1
Dey, Tanish
00404e81-ee1b-405b-902a-87ab5719d3a6
Kumar, Rajesh
8bab93c4-1a43-4927-a234-db06c7a56b28
Mukhopadhyay, Tanmoy
2ae18ab0-7477-40ac-ae22-76face7be475
Chakraborty, Sumeet, Naskar, Susmita, Dey, Tanish, Kumar, Rajesh and Mukhopadhyay, Tanmoy
(2023)
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.
(In Press)
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.
Text
Abc
- Accepted Manuscript
Restricted to Repository staff only
Request a copy
More information
Accepted/In Press date: 13 November 2023
Identifiers
Local EPrints ID: 484225
URI: http://eprints.soton.ac.uk/id/eprint/484225
ISSN: 0893-1321
PURE UUID: bc832e68-4c9f-47ab-973b-1935fa258740
Catalogue record
Date deposited: 13 Nov 2023 18:41
Last modified: 18 Mar 2024 04:10
Export record
Contributors
Author:
Sumeet Chakraborty
Author:
Tanish Dey
Author:
Rajesh Kumar
Author:
Tanmoy Mukhopadhyay
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics