Leugering G, Nazarov SA, Slutskij AS (2014)
Publication Type: Journal article
Publication year: 2014
Publisher: Wiley-VCH Verlag
Book Volume: 94
Pages Range: 529--550
Volume: 94
Issue: 6
Journal Issue: 6
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.
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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