Multiscale modeling of electro-mechanically coupled materials: homogenization procedure and computation of overall moduli

In: Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials : Proceedings of the IUTAM conference on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials, held in Freiberg, Germany, September 1-4, 2009 / Kuna, Meinhard; Ricoeur, Andreas (Hrsg.)
1. Aufl. , Berlin: Springer Netherlands (2011) (IUTAM Bookseries ; 24)
ISBN: 978-90-481-9886-3, 978-90-481-9887-0
Buchaufsatz / Kapitel / Fach: Bauwissenschaften
In this contribution, a meso-macro transition procedure for electro-mechanically coupled materials is presented. The utilized mesoscopic material model will be introduced and implemented into an FE2-homogenization approach. The resulting two-scale formulation is capable to compute macroscopic boundary value problems under consideration of attached heterogeneous representative volume elements at each macroscopic point. The presented direct homogenization procedure also allows for the efficient computation of effective electro-mechanical material parameters.