A Nonlinear Model for Dielectric Elastomer Membranes
- 21 April 2005
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 72 (6), 899-906
- https://doi.org/10.1115/1.2047597
Abstract
The material and geometrical nonlinearities of novel dielectric elastomer actuators make them more difficult to model than linear materials used in traditional actuators. To accurately model dielectric elastomers, a comprehensive mathematical formulation that incorporates large deformations, material nonlinearity, and electrical effects is derived using Maxwell-Faraday electrostatics and nonlinear elasticity. The analytical model is used to numerically solve for the resultant behavior of an inflatable dielectric elastomer membrane, subject to changes in various system parameters such as prestrain, external pressure, applied voltage, and the percentage electroded membrane area. The model can be used to predict acceptable ranges of motion for prescribed system specifications. The predicted trends are qualitatively supported by experimental work on fluid pumps [A. Tews, K. Pope, and A. Snyder, Proceedings SPIE, 2003)]. For a potential cardiac pump application, it is envisioned that the active dielectric elastomer membrane will function as the motive element of the device.Keywords
This publication has 9 references indexed in Scilit:
- Classical ElectrodynamicsPublished by Taylor & Francis Ltd ,2019
- Pressure-volume characteristics of dielectric elastomer diaphragmsPublished by SPIE-Intl Soc Optical Eng ,2003
- Electrostriction of polymer dielectrics with compliant electrodes as a means of actuationSensors and Actuators A: Physical, 1998
- The Artificial Heart: Costs, Risks, and Benefits—An UpdateInternational Journal of Technology Assessment in Health Care, 1986
- The mechanics of rubber elasticityJournal of Polymer Science: Polymer Symposia, 1974
- Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solidsProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1972
- Large Elastic DeformationsPhysics Today, 1971
- Large elastic deformations of isotropic materials IX. The deformation of thin shellsPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1952
- Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubberPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1951