Asymptotic analysis of 3-D thin piezoelectric rods

Leugering G, Nazarov SA, Slutskij AS (2014)

Publication Type: Journal article

Publication year: 2014

Journal

ZAMM - Zeitschrift für angewandte Mathematik und Mechanik Wiley-VCH Verlag

Publisher: Wiley-VCH Verlag

Book Volume: 94

Pages Range: 529--550

Volume: 94

Issue: 6

Journal Issue: 6

DOI: 10.1002/zamm.201100169

Abstract

We derive an asymptotic one-dimensional model of a thin piezoelectric rod by means of a dimension reduction procedure. The rod is made from a heterogeneous material with a possibly varying cross-section and distorted ends. Asymptotically exact error estimates are derived. Representation formulas for effective moduli are established and, for a concrete piezoelectric material, we provide an explicit form.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials

Involved external institutions

Russian Academy of Sciences / Росси́йская акаде́мия нау́к (RAS) RU Russian Federation (RU)

How to cite

APA:

Leugering, G., Nazarov, S.A., & Slutskij, A.S. (2014). Asymptotic analysis of 3-D thin piezoelectric rods. ZAMM - Zeitschrift für angewandte Mathematik und Mechanik, 94(6), 529--550. https://doi.org/10.1002/zamm.201100169

MLA:

Leugering, Günter, Sergei A. Nazarov, and Andrey S. Slutskij. "Asymptotic analysis of 3-D thin piezoelectric rods." ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 94.6 (2014): 529--550.

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