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

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Computer Methods in Mechanics

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 1))

Abstract

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.

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Authors and Affiliations

  1. Institute for Mechanics, Faculty of Engineering Sciences, Department of Civil Engineering, University of Duisburg-Essen, Universitätsstraße 15, 45141, Essen, Germany

    Jörg Schröder & Marc-André Keip

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  1. Jörg Schröder
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  2. Marc-André Keip
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Editors and Affiliations

  1. Inst. Building Engineering, University of Zielona Góra, ul. Z. Szafrana 1, 65-516, Zielona Góra, Poland

    Mieczysław Kuczma

  2. Rue Diderot 4, 13469, Berlin, Germany

    Krzysztof Wilmanski

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Schröder, J., Keip, MA. (2010). A Framework for the Two-Scale Homogenization of Electro-Mechanically Coupled Boundary Value Problems. In: Kuczma, M., Wilmanski, K. (eds) Computer Methods in Mechanics. Advanced Structured Materials, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05241-5_16

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