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Dynamic pull-in instability of a prestretched viscous dielectric elastomer under electric loading

Eder-Goy, Dagmar ; Zhao, Ying ; Xu, Bai-Xiang :
Dynamic pull-in instability of a prestretched viscous dielectric elastomer under electric loading.
In: Acta Mechanica pp. 1-15. ISSN 0001-5970
[Artikel], (2017)

Kurzbeschreibung (Abstract)

The dynamic response of a pre-stretched elastomer membrane under electric loading was analysed. Thereby, two cases of voltage application, constant voltage and an incrementally increased voltage were regarded. The equation of motion (EOM) was derived from the Euler-Lagrange equation and the Rayleigh dissipation function. This allowed to include the influence of prestretch into the evolution equation of the viscous stretch. The critical values of pull-in instability under dynamic assumptions were determined at the initial state by an analytical model derived from the classical approaches of stability theory regarding geometric instabilities by using an energy criterion and were used to validate the numerical solution of the EOM. The results showed that both inertia and viscous effects have a notable influence on the pull-in stability behavior. In particular, at applied electric fields below the critical electric field the viscous behavior can still induce failure, which occurs time delayed. A non-monotonic dependence of the failure stretch on the magnitude of the applied electric fields below the critical value could be observed.

Typ des Eintrags: Artikel
Erschienen: 2017
Autor(en): Eder-Goy, Dagmar ; Zhao, Ying ; Xu, Bai-Xiang
Titel: Dynamic pull-in instability of a prestretched viscous dielectric elastomer under electric loading
Sprache: Englisch
Kurzbeschreibung (Abstract):

The dynamic response of a pre-stretched elastomer membrane under electric loading was analysed. Thereby, two cases of voltage application, constant voltage and an incrementally increased voltage were regarded. The equation of motion (EOM) was derived from the Euler-Lagrange equation and the Rayleigh dissipation function. This allowed to include the influence of prestretch into the evolution equation of the viscous stretch. The critical values of pull-in instability under dynamic assumptions were determined at the initial state by an analytical model derived from the classical approaches of stability theory regarding geometric instabilities by using an energy criterion and were used to validate the numerical solution of the EOM. The results showed that both inertia and viscous effects have a notable influence on the pull-in stability behavior. In particular, at applied electric fields below the critical electric field the viscous behavior can still induce failure, which occurs time delayed. A non-monotonic dependence of the failure stretch on the magnitude of the applied electric fields below the critical value could be observed.

Titel der Zeitschrift, Zeitung oder Schriftenreihe: Acta Mechanica
Verlag: Springer
Fachbereich(e)/-gebiet(e): 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft
11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft > Fachgebiet Mechanik Funktionaler Materialien
11 Fachbereich Material- und Geowissenschaften
Hinterlegungsdatum: 07 Jul 2017 08:47
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