English

On rate-dependent dissipation effects in electro-elasticity

Classical Physics 2015-02-10 v1

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 E=Ee+Ev\mathbb{E} = \mathbb{E}_e + \mathbb{E}_v and multiplicative decomposition of the deformation gradient F=FeFv\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.

Keywords

Cite

@article{arxiv.1502.02479,
  title  = {On rate-dependent dissipation effects in electro-elasticity},
  author = {Prashant Saxena and Duc Khoi Vu and Paul Steinmann},
  journal= {arXiv preprint arXiv:1502.02479},
  year   = {2015}
}
R2 v1 2026-06-22T08:25:26.529Z