A Framework for the Two-Scale Homogenization of Electro-Mechanically Coupled Boundary Value Problems

In: Computer methods in mechanics: lectures of the CMM 2009 : Advanced Structured Materials ; 1 / Kuczma, Mieczyslaw (Hrsg.)
Berlin [u.a.]: Springer-Verlag (2010), S. 311-329
ISBN: 978-3-642-05240-8
Buchaufsatz / Kapitel / Fach: Bauwissenschaften
The contribution addresses the derivation of a meso-macro transition procedure for electro-mechanically coupled materials in two and three dimensions. In this two-scale homogenization approach piezoelectric material behavior will be analysed. In this context, a mesoscopic material model will be presented and implemented into an FE2-homogenization approach. The resulting model is able to capture macroscopic boundary value problems taking into account attached heterogeneous representative volume elements at each macroscopic point. The model is also applicable for the calculation of effective electro-mechanical material parameters, which are efficiently computed by means of the proposed direct homogenization procedure.