A Nonlinear Model for Dielectric Elastomer Membranes

@article{citeulike:1321539, 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.}, author = {Goulbourne, Nakhiah and Mockensturm, Eric and Frecker, Mary }, citeulike-article-id = {1321539}, doi = {10.1115/1.2047597}, journal = {Journal of Applied Mechanics}, keywords = {eap}, number = {6}, pages = {899--906}, posted-at = {2007-05-23 15:02:06}, priority = {2}, publisher = {ASME}, title = {A Nonlinear Model for Dielectric Elastomer Membranes}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=JAMCAV000072000006000899000001\&idtype=cvips\&gifs=yes}, volume = {72}, year = {2005} }

TY - JOUR ID - citeulike:1321539 L3 - citeulike-article-id:1321539 TI - A Nonlinear Model for Dielectric Elastomer Membranes JF - Journal of Applied Mechanics VL - 72 IS - 6 SP - 899 EP - 906 PB - ASME N2 - 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. KW - eap AU - Goulbourne, Nakhiah AU - Mockensturm, Eric AU - Frecker, Mary PY - 2005/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JAMCAV000072000006000899000001&idtype=cvips&gifs=yes ER -