Asymptotically accurate non-linear analysis of electro-elastomer membrane structures

Burela Ramesh Gupta; Dineshkumar Harursampath; Sujoy Mukherjee

doi:10.1117/12.848733

9 April 2010 Asymptotically accurate non-linear analysis of electro-elastomer membrane structures

Burela Ramesh Gupta, Dineshkumar Harursampath, Sujoy Mukherjee

Proceedings Volume 7642, Electroactive Polymer Actuators and Devices (EAPAD) 2010; 764210 (2010) https://doi.org/10.1117/12.848733
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2010, San Diego, California, United States

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.

Citation Download Citation

Burela Ramesh Gupta, Dineshkumar Harursampath, and Sujoy Mukherjee "Asymptotically accurate non-linear analysis of electro-elastomer membrane structures", Proc. SPIE 7642, Electroactive Polymer Actuators and Devices (EAPAD) 2010, 764210 (9 April 2010); https://doi.org/10.1117/12.848733

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