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Compression-induced failure of electro-active polymeric thin films

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arxiv 1012.1462 v1 pith:3SQ2VT6Q submitted 2010-12-07 math-ph cond-mat.softmath.MPphysics.ins-det

Compression-induced failure of electro-active polymeric thin films

classification math-ph cond-mat.softmath.MPphysics.ins-det
keywords compressionthinanalysisdomaineapselasticfailurefilms
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The insurgence of compression induces wrinkling in actuation devices based on EAPs thin films leading to a sudden decrease of performances up to failure. Based on the classical tension field theory for thin elastic membranes, we provide a general framework for the analysis of the insurgence of in-plane compression in membranes of electroactive polymers (EAPs). Our main result is the deduction of a (voltage-dependent) domain in the stretch space which represents tensile configurations. Under the assumption of Mooney-Rivlin materials, we obtain that for growing values of the applied voltage the domain contracts, vanishing at a critical voltage above which the polymer is wrinkled for any stretch configuration. Our approach can be easily implemented in numerical simulations for more complex material behaviors and provides a tool for the analysis of compression instability as a function of the elastic moduli.

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