Electro-mechanical coupling bifurcation and bulging propagation in a cylindrical dielectric elastomer tube |
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Affiliation: | 1. Department of Mechanics, Tianjin University, Tianjin 300072, China;2. Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin 300072, China;3. Department of Mathematics, Keele University, ST5 5BG, UK |
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Abstract: | This paper explores the critical and post-bulging bifurcation of a cylindrical dielectric elastomer (DE) tube undergoing finite deformation under electro-mechanical coupling loading. Explicit expressions for the critical conditions of electro-mechanical bifurcation are derived by using a simplified mathematical method. The post-bifurcation path is comprehensively investigated by specifying the material model as ideal dielectric elastomer. In the post-bifurcation analysis, we analytically establish conditions for the phase coexistence of steady propagation and analyze the physical implications. We demonstrate a global instability under force or voltage control and a localized instability under volume or charge control. Cylindrical tube experiments have been carried out under electro-mechanical coupling loading to verify the theoretical predictions. Good agreements on the critical conditions as well as the post-bifurcation path are obtained. This work characterizes the bifurcation mechanism of rubber-like materials under complex coupling loading. |
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Keywords: | Dielectric elastomer Post-bifurcation analysis Electro-mechanical coupling Finite deformation Stability analysis |
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