On rate-dependent dissipation effects in electro-elasticity

Prashant Saxena; Duc Khoi Vu; Paul Steinmann

doi:10.1016/j.ijnonlinmec.2014.02.002

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arXiv · 1502.02479

On rate-dependent dissipation effects in electro-elasticity

Prashant Saxena·Duc Khoi Vu·Paul Steinmann

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Abstract

This paper deals with the mathematical modelling of large strain electro-viscoelastic deformations in electro-active polymers. Energy dissipation is assumed to occur due to mechanical viscoelasticity of the polymer as well as due to time-dependent effective polarisation of the material. Additive decomposition of the electric field $\mathbb{E} = \mathbb{E}_e + \mathbb{E}_v$ and multiplicative decomposition of the deformation gradient $\mathbf{F} = \mathbf{F}_e \mathbf{F}_v$ are proposed to model the internal dissipation mechanisms. The theory is illustrated with some numerical examples in the end.

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Prashant Saxena, Duc Khoi Vu, Paul Steinmann. 2015-02-09. On rate-dependent dissipation effects in electro-elasticity. https://doi.org/10.1016/j.ijnonlinmec.2014.02.002

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