Nonlinear Stability of Curved Multiphase Composite Panels: Influence of Agglomeration in Randomly Distributed Carbon Nanotubes with Nonuniform In-Plane Loads
Publication: Journal of Aerospace Engineering
Volume 37, Issue 3
Abstract
The nonlinear stability characteristics of doubly curved panels made of three-phase composites with randomly dispersed carbon nanotubes [randomly dispersed carbon nanotube reinforced fiber composites (RD-CNTRFC)] subjected to practically relevant nonuniform in-plane loads are investigated in this study. Carbon nanotubes (CNTs), 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 multistage, 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 nonlinearity and Reddy’s higher-order shear deformation theory, strain–displacement relations are established for the nonlinear 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 nonlinear terms and solving the Eigenvalue problem, we obtain critical load and nonlinear stability path of shell panels based on the 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 nonlinear equilibrium paths, wherein a geometry-dependent programmable softening and hardening behavior emerges.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request.
Acknowledgments
SN and TM would like to acknowledge the initiation grant received from the University of Southampton during the period of this research work.
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Published In
Journal of Aerospace Engineering
Volume 37 • Issue 3 • May 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Jun 11, 2023
Accepted: Nov 7, 2023
Published online: Feb 2, 2024
Published in print: May 1, 2024
Discussion open until: Jul 2, 2024
ASCE Technical Topics:
- Carbon fibers
- Composite materials
- Curvature
- Engineering fundamentals
- Engineering materials (by type)
- Fibers
- Geometry
- Material mechanics
- Material properties
- Materials engineering
- Mathematics
- Nanomechanics
- Nonlinear analysis
- Panels (structural)
- Structural analysis
- Structural engineering
- Structural members
- Structural systems
- Tubes (structure)
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