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Post-buckling and vibration analysis of randomly distributed CNT reinforced fibre composite plates under localised heating

Chakraborty, S and Dey, T and Mahesh, V and Harursampath, D (2022) Post-buckling and vibration analysis of randomly distributed CNT reinforced fibre composite plates under localised heating. In: Mechanics of Advanced Materials and Structures .

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Official URL: https://doi.org/10.1080/15376494.2022.2095470


Present study aims to investigate the non-linear stability and vibration characteristics of randomly distributed carbon nanotube reinforced fiber composites (RD-CNTRFC) under localized heating. The effective material properties of RD-CNT reinforced polymer is determined using Eshelbhy-Mori-Tanaka (EMT) approach and Chamis method is used to estimate the material properties of the RD-CNTRFC plates considering properties to be temperature-dependent. The strain-displacement fields of plates are developed using Reddy’s higher order shear deformation theory and von-Kármán non-linearities. The in-plane pre-buckling stresses within the plates due to localized heating are estimated using Airy’s stress function by satisfying compatibility equation. Galerkin’s approach is adopted to simplify the partial differential equations (PDEs) into non-linear algebraic equations for stability analysis and ordinary differential equations (ODEs) for vibration analysis. The critical temperature of the plates can be obtained using standard eigen value approach and thermal non-linear equilibrium path of plate can be traced using iterative eigen value approach. The present approach is initially verified with the results of published literature. Moreover various parametric studies like agglomeration effect of CNTs, mass fraction of CNT, aspect ratio, width-to-thickness ratio are also carried-out to elucidate their influence on thermal stability and vibration characteristics of RD-CNTRFC plates.

Item Type: Journal Article
Publication: Mechanics of Advanced Materials and Structures
Publisher: Taylor and Francis Ltd.
Additional Information: The copyright for this article belongs to the Taylor and Francis Ltd.
Keywords: Aspect ratio; Carbon nanotubes; Eigenvalues and eigenfunctions; Galerkin methods; Iterative methods; Linear equations; Ordinary differential equations; Plates (structural components); Reinforced plastics; Shear deformation; Vibration analysis, Composite plates; Eshelbhy-mori-tanakum; Fibre composites; Localized heating; Mori-Tanaka; Random distribution; Randomly distributed; Reinforced fibers; Vibration; Vibrations analysis, Agglomeration
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 04 Aug 2022 11:39
Last Modified: 04 Aug 2022 11:39
URI: https://eprints.iisc.ac.in/id/eprint/75347

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