A continuum model for dielectric elastomers is proposed on the basis of a micromorphic theory of electroelasticity. A biaxial microstretch deformation is considered to describe macrostretch and electric polarization due to applied mechanical loads and electric fields. A statistical isotropic condition is exploited to express the dependence of strain tensors on microstretch, and the equilibrium balance laws are given for micro- and macrodeformation and the electric potential. A one-dimensional problem is formulated to model a layer of dielectric elastomer subject to electric potential and mechanical traction. Some numerical results are obtained, which show consistence with the expected electroelastic physical behavior of such structures.
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Romeo, M. A microstretch continuum approach to model dielectric elastomers. Z. Angew. Math. Phys. 71, 44 (2020). https://doi.org/10.1007/s00033-020-1266-0
Mathematics Subject Classification
- Biaxial microstretch
- Dielectric elastomers