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Asymptotic Analysis of Interface Problems in Piezoelectric Composite Materials

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Smart Materials

Abstract

The present work is directed to the analysis of interface corner and crack configurations which occur in smart materials. It delivers a new technique for solving the corresponding piezoelectric boundary value problems by asymptotic eigenfunction expansions in connection with the conventional finite element method. This approach represents the extension to coupled electromechanical material behaviour of a method which was introduced in former times for geometrical and physical linear and non-linear solid mechanics [4,5].

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References

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  4. M. Scherzer: Physikalisch und geometrisch nichtlineare Problemstellungen der Festkörper- und Bruchmechanik an Interface-Konfigurationen. Habilitationsschrift, Technische Universität Bergakademie Freiberg 1999.

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  5. M. Scherzer and A. Meyer: Zur Berechnung von Spannungs- und Deformations-feldern an Interface-Ecken im nichtlinearen Deformationsbereich auf Parallelrechnern. Preprint-Reihe des Chemnitzer Sonderforschungsbereiches 393, Nr.: 9603, TU Chemnitz-Zwickau, Fakultät für Mathematik, SFB 393, 1996.

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© 2001 Springer-Verlag Berlin Heidelberg

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Scherzer, M., Kuna, M. (2001). Asymptotic Analysis of Interface Problems in Piezoelectric Composite Materials. In: Hoffmann, KH. (eds) Smart Materials. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56855-8_11

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  • DOI: https://doi.org/10.1007/978-3-642-56855-8_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63233-4

  • Online ISBN: 978-3-642-56855-8

  • eBook Packages: Springer Book Archive

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