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Korn Inequality for a Thin Periodic Corrugated Beam. / Leugering, G.; Nazarov, S. A.; Slutskii, A. S.
в: Journal of Mathematical Sciences, Том 226, № 4, 2017, стр. 375-387.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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