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Korn Inequality for a Thin Periodic Corrugated Beam. / Leugering, G.; Nazarov, S. A.; Slutskii, A. S.

In: Journal of Mathematical Sciences, Vol. 226, No. 4, 2017, p. 375-387.

Research output: Contribution to journal › Article › peer-review

Harvard

Leugering, G, Nazarov, SA & Slutskii, AS 2017, 'Korn Inequality for a Thin Periodic Corrugated Beam', Journal of Mathematical Sciences, vol. 226, no. 4, pp. 375-387. https://doi.org/10.1007/s10958-017-3540-z

APA

Leugering, G., Nazarov, S. A., & Slutskii, A. S. (2017). Korn Inequality for a Thin Periodic Corrugated Beam. Journal of Mathematical Sciences, 226(4), 375-387. https://doi.org/10.1007/s10958-017-3540-z

Vancouver

Leugering G, Nazarov SA, Slutskii AS. Korn Inequality for a Thin Periodic Corrugated Beam. Journal of Mathematical Sciences. 2017;226(4):375-387. https://doi.org/10.1007/s10958-017-3540-z

Author

Leugering, G. ; Nazarov, S. A. ; Slutskii, A. S. / Korn Inequality for a Thin Periodic Corrugated Beam. In: Journal of Mathematical Sciences. 2017 ; Vol. 226, No. 4. pp. 375-387.

BibTeX

@article{4839695e724d478c9e3f4b08b78a1b2d,
title = "Korn Inequality for a Thin Periodic Corrugated Beam",
abstract = "We obtain the asymptotically exact weighted Korn inequality for a thin (of thickness δh) periodically corrugated (with step δ) beam clamped at its ends. The constant in the inequality is independent of both small parameters δ and h, but the distribution of weighted factors under longitudinal and transverse displacements essentially differs from the optimal one in the case of a straight beam.",
author = "G. Leugering and Nazarov, {S. A.} and Slutskii, {A. S.}",
year = "2017",
doi = "10.1007/s10958-017-3540-z",
language = "English",
volume = "226",
pages = "375--387",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Korn Inequality for a Thin Periodic Corrugated Beam

AU - Leugering, G.

AU - Nazarov, S. A.

AU - Slutskii, A. S.

PY - 2017

Y1 - 2017

N2 - We obtain the asymptotically exact weighted Korn inequality for a thin (of thickness δh) periodically corrugated (with step δ) beam clamped at its ends. The constant in the inequality is independent of both small parameters δ and h, but the distribution of weighted factors under longitudinal and transverse displacements essentially differs from the optimal one in the case of a straight beam.

AB - We obtain the asymptotically exact weighted Korn inequality for a thin (of thickness δh) periodically corrugated (with step δ) beam clamped at its ends. The constant in the inequality is independent of both small parameters δ and h, but the distribution of weighted factors under longitudinal and transverse displacements essentially differs from the optimal one in the case of a straight beam.

UR - http://www.scopus.com/inward/record.url?scp=85029589380&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=31054681

U2 - 10.1007/s10958-017-3540-z

DO - 10.1007/s10958-017-3540-z

M3 - Article

VL - 226

SP - 375

EP - 387

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 35187747