On modelling and simulation of dielectric elastomer actuators via electrostatic-elastodynamic coupling

Schlögl T, Leyendecker S, Reitelshöfer S, Landgraf M, Yoo IS, Franke J (2014)

Publication Language: English

Publication Type: Conference contribution, Conference Contribution

Publication year: 2014

Conference Proceedings Title: Proceedings of the IMSD

Event location: Busan KR

Abstract

The aim of this work is to set up a numerical framework to characterise the deformation process and effective forces when voltage is applied to dielectric elastomer actuators (DEA). As with capacitors, when an external voltage is applied to the conductive layers, an electric field is established. Resulting Maxwell stresses lead to a contraction of the DEA. These effects are described by the Maxwell equations, the balance of momentum and constitutive material laws. Based on a model for non-linear electro-elasticity that covers the static case only, inertia terms are included in order to obtain a description of the deformation process depending on time. A potential energy function that is composed of Neo-Hooke material behaviour, electric field energy and coupling terms covers the material behaviour. Combined with the kinetic energy, a Lagrange function forms the basis in a variational setting of the model. Approximating the action integral using quadrature rules, discretising with finite elements in space and finite differences in time and applying a discrete version of Hamilton’s principle [9], a structure preserving integration scheme for DEAs is obtained and evaluated. 

Authors with CRIS profile

Tristan Schlögl Institute of Applied Dynamics Sigrid Leyendecker Institute of Applied Dynamics Sebastian Reitelshöfer Lehrstuhl für Fertigungsautomatisierung und Produktionssystematik Maximilian Landgraf Lehrstuhl für Fertigungsautomatisierung und Produktionssystematik In Seong Yoo Lehrstuhl für Fertigungsautomatisierung und Produktionssystematik Jörg Franke Lehrstuhl für Fertigungsautomatisierung und Produktionssystematik

Related research project(s)

Development of artificial muscles as actors and sensors on the basis of dielectric elastomers Bionicum Forschung Oct. 1, 2012 - March 31, 2018

How to cite

APA:

Schlögl, T., Leyendecker, S., Reitelshöfer, S., Landgraf, M., Yoo, I.S., & Franke, J. (2014). On modelling and simulation of dielectric elastomer actuators via electrostatic-elastodynamic coupling. In Proceedings of the IMSD. Busan, KR.

MLA:

Schlögl, Tristan, et al. "On modelling and simulation of dielectric elastomer actuators via electrostatic-elastodynamic coupling." Proceedings of the 3rd Joint International Conference on Multibody System Dynamics (IMSD), Busan 2014.

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