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Inverse‐motion‐based form finding for quasi‐incompressible finite electroelasticity
Author(s) -
Ask Anna,
Denzer Ralf,
Menzel Andreas,
Ristinmaa Matti
Publication year - 2013
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4462
Subject(s) - finite element method , inverse , inverse problem , compressibility , boundary value problem , motion (physics) , equations of motion , work (physics) , mathematics , field (mathematics) , boundary (topology) , mathematical analysis , classical mechanics , computer science , mathematical optimization , engineering , physics , mechanical engineering , mechanics , structural engineering , geometry , pure mathematics
SUMMARY This work deals with inverse‐motion‐based form finding for electroelasticity. The inverse motion problem is formulated for the electroelastic case, and the resulting equations are implemented within a finite element framework. A four‐field variational approach is adopted, taking into consideration the typically incompressible behavior of the elastomer materials commonly used in electromechanical applications. By means of numerical simulations, the inverse‐motion‐based form finding makes it possible to design the referential configuration so that a given set of loads and boundary conditions results in a prespecified deformed configuration. The computational finite element framework established in this work allows for such numerical simulations and testing and thereby the possibility to improve the design and accuracy in electroelastic applications such as grippers, sensors, and seals. Copyright © 2013 John Wiley & Sons, Ltd.