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Proceedings Paper

Asymptotically accurate non-linear analysis of electro-elastomer membrane structures
Author(s): Burela Ramesh Gupta; Dineshkumar Harursampath; Sujoy Mukherjee
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Paper Abstract

Asymptotically accurate nonlinear analysis of electro elastomer membrane structures is carried out using Variational Asymptotic Method (VAM) with moderate strains and very small thickness-to-wavelength ratio as small parameters. Present work incorporates large deformations (displacements and rotations), material nonlinearity (hyper elasticity), and electrical effects. It begins with 3-D electro-elastic energy and mathematically splits the analysis into a 1-D through-the-thickness analysis and a 2-D membrane analysis. 1-D analysis provides asymptotically equivalent of 3-D energy which in turn 2-D constitutive law is input to membrane analysis and a set of recovery relations to approximately express the 3-D mechanical field variables in terms of two-dimensional variables determined from solving the equations of the membrane analysis. Numerical examples are presented to compare with existing analytical, semi-analytical and finite element solutions. Results based on this model will be demonstrated for specific inflatable structures of aerospace and bio-mechanics applications.

Paper Details

Date Published: 9 April 2010
PDF: 10 pages
Proc. SPIE 7642, Electroactive Polymer Actuators and Devices (EAPAD) 2010, 764210 (9 April 2010); doi: 10.1117/12.848733
Show Author Affiliations
Burela Ramesh Gupta, Indian Institute of Science Bangalore (India)
Dineshkumar Harursampath, Indian Institute of Science Bangalore (India)
Sujoy Mukherjee, Indian Institute of Science Bangalore (India)

Published in SPIE Proceedings Vol. 7642:
Electroactive Polymer Actuators and Devices (EAPAD) 2010
Yoseph Bar-Cohen, Editor(s)

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