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VAM Applied to Dimensional Reduction of Nonlinear Multifunctional Film-fabric Laminates

Kshirsagar, Alap and Harursampath, Dineshkumar and Burela, Ramesh Gupta (2015) VAM Applied to Dimensional Reduction of Nonlinear Multifunctional Film-fabric Laminates. In: International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), SEP 22-28, 2014, Rhodes, GREECE.

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Official URL: http://dx.doi.org/ 10.1063/1.4912587

Abstract

This work aims at asymptotically accurate dimensional reduction of non-linear multi-functional film-fabric laminates having specific application in design of envelopes for High Altitude Airships (HAA). The film-fabric laminate for airship envelope consists of a woven fabric core coated with thin films on each face. These films provide UV protection and Helium leakage prevention, while the core provides required structural strength. This problem is both geometrically and materially non-linear. To incorporate the geometric non-linearity, generalized warping functions are used and finite deformations are allowed. The material non-linearity is handled by using hyper-elastic material models for each layer. The development begins with three-dimensional (3-D) nonlinear elasticity and mathematically splits the analysis into a one-dimensional through-the-thickness analysis and a two-dimensional (2-D) plate analysis. The through-the-thickness analysis provides the 2-D constitutive law which is then given as an input to the 2-D reference surface analysis. The dimensional reduction is carried out using Variational Asymptotic Method (VAM) for moderate strains and very small thickness-to-wavelength ratio. It features the identification and utilization of additional small parameters such as ratio of thicknesses and stiffness coefficients of core and films. Closed form analytical expressions for warping functions and 2-D constitutive law of the film-fabric laminate are obtained.

Item Type: Conference Proceedings
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Additional Information: International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, GREECE, SEP 22-28, 2014
Keywords: VAM; film-fabric laminates; dimensional reduction; constitutive law
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 19 Jul 2015 09:28
Last Modified: 19 Jul 2015 09:28
URI: http://eprints.iisc.ernet.in/id/eprint/51845

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