Modeling of Dielectric Elastomers Accounting for Electrostriction by Means of a Multiplicative Decomposition of the Deformation Gradient Tensor

  • Elisabeth StaudiglEmail author
  • Michael Krommer
  • Alexander Humer
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 81)


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.


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Support from the K2 area of the Linz Center of Mechatronics GmbH is gratefully acknowledged. This area is promoted as a K2 project with the project name Austrian Competence Center of Mechatronics - ACCM in the context of Competence Centers for Excellent Technologies (COMET) by BMVIT, BMWFJ and by the country Upper Austria.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Elisabeth Staudigl
    • 1
    Email author
  • Michael Krommer
    • 1
  • Alexander Humer
    • 2
  1. 1.Institute of Mechanics and MechatronicsTU WienViennaAustria
  2. 2.Institute of Technical MechanicsJohannes Kepler University LinzLinzAustria

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