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E. Hansy-Staudigl, M. Krommer, A. Humer:
"Modeling of Dielectric Elastomers Accounting for Electrostriction by Means of a Multiplicative Decomposition of the Deformation Gradient Tensor";
in: "Analysis and Modelling of Advanced Structures and Smart Systems", H. Altenbach, E. Carrera, G. Kulikov (ed.); Springer, Vienna, 2018, ISBN: 978-981-10-6764-8, 259 - 290.

Nonlinear modeling of inelastic material behavior by a multiplicative decomposition of the deformation gradient tensor is quite common for finite strains. The concept has proven applicable in thermoelasticity, elastoplacticity, as well as for the description of residual stresses arising in growth processes of biological tissues. In the context of advanced materials, the multiplicative decomposition of the deformation gradient tenser has been introduced within the fields of electroelastic elastomers, shape-memory alloys as well as piezoelastic materials. In the present paper we apply this multiplicative approach to the special case of dielectric elastomers in order to account for the electrostrictive effect. Therefore, we seek to include the two main sources of electro-mechanical coupling in dielectric elastomers. These are elastostatic forces acting between the electric charges and electrostriction due to intramolecular forces of the material. In particular we intend to study the significance of electrostriction for the particular case of dielectric elastomers, in the form of a thin layer with two compliant electrodes.

http://dx.doi.org/10.1007/978-981-10-6895-9_12