Computational homogenization of electro-mechanically coupled solids

Associated people

J. Schröder, M.-A. Keip

Abstract

Electro-mechanically coupled solids as piezo- and ferroelectric ceramics are in general polycrystalline materials and possess a heterogeneous micro- and mesostructure. Therefore, the overall macroscopic behavior of a bulk ferroelectric is influenced by the physical and geometrical constitution of the underlying micro- and mesostructure. A bulk macroscopic ferroelectric is generally composed of grains (polycrystalline ferroelectrics) or artificially constructed mesostructures that are composed of at least one piezoelectric phase (piezocomposites). In each case, the overall macroscopic behavior as well as the individual fields on the lower scales are of special interest, since both are important for the functionality of the piezoactive ceramic.
The project deals with the two-scale simulation of electro-mechanically coupled materials by means of the FE^2-method. In this connection, the focus is on the computation of effective material parameters and the analysis of mesoscopic electro-mechanical fields.

References

J. Schröder & M.-A. Keip (2012). Two-scale homogenization of electromechanically coupled boundary value problems -- consistent linearization and applications. Computational Mechanics 50(2):229-244

J. Schröder & M.-A. Keip (2011). Multiscale modeling of electro-mechanically coupled materials: Homogenization procedure and computation of overall moduli. In: M. Kuna, A. Ricoeur (eds.) IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials, IUTAM Bookseries, Vol. 24, pp. 265-276, Springer, Netherlands

J. Schröder & M.-A. Keip (2010). A framework for the two-scale homogenization of electro-mechanically coupled boundary value problems. In: M. Kuczma, K. Wilmanski (eds.) Computer Methods in Mechanics, Advanced Structured Materials, Vol. 1, pp. 311-329, Springer Berlin Heidelberg