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Asymptotic analysis of 3-D thin piezoelectric rods. / Leugering, G.; Nazarov, S.A.; Slutskij, A.S.

In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, No. 6, 2014, p. 529-550.

Research output: Contribution to journal › Article

Harvard

Leugering, G, Nazarov, SA & Slutskij, AS 2014, 'Asymptotic analysis of 3-D thin piezoelectric rods', ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, no. 6, pp. 529-550. https://doi.org/10.1002/zamm.201100169

APA

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

Vancouver

Leugering G, Nazarov SA, Slutskij AS. Asymptotic analysis of 3-D thin piezoelectric rods. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2014;(6):529-550. https://doi.org/10.1002/zamm.201100169

Author

Leugering, G. ; Nazarov, S.A. ; Slutskij, A.S. / Asymptotic analysis of 3-D thin piezoelectric rods. In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2014 ; No. 6. pp. 529-550.

BibTeX

@article{cea8a22c3e774b478d17f77763bb2694,
title = "Asymptotic analysis of 3-D thin piezoelectric rods",
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. The authors 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, they provide an explicit form. {\textcopyright} 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.",
author = "G. Leugering and S.A. Nazarov and A.S. Slutskij",
year = "2014",
doi = "10.1002/zamm.201100169",
language = "English",
pages = "529--550",
journal = "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik",
issn = "0044-2267",
publisher = "Wiley-Blackwell",
number = "6",

}

RIS

TY - JOUR

T1 - Asymptotic analysis of 3-D thin piezoelectric rods

AU - Leugering, G.

AU - Nazarov, S.A.

AU - Slutskij, A.S.

PY - 2014

Y1 - 2014

N2 - 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. The authors 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, they provide an explicit form. © 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

AB - 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. The authors 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, they provide an explicit form. © 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

U2 - 10.1002/zamm.201100169

DO - 10.1002/zamm.201100169

M3 - Article

SP - 529

EP - 550

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 6

ER -

ID: 7063534