Standard

On the asymptotic nature of approximate models of beams, plates, and shells. / Tovstik, P. E.

в: Vestnik St. Petersburg University: Mathematics, Том 40, № 3, 09.2007, стр. 188-192.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Tovstik, PE 2007, 'On the asymptotic nature of approximate models of beams, plates, and shells', Vestnik St. Petersburg University: Mathematics, Том. 40, № 3, стр. 188-192. https://doi.org/10.3103/S1063454107030041

APA

Tovstik, P. E. (2007). On the asymptotic nature of approximate models of beams, plates, and shells. Vestnik St. Petersburg University: Mathematics, 40(3), 188-192. https://doi.org/10.3103/S1063454107030041

Vancouver

Tovstik PE. On the asymptotic nature of approximate models of beams, plates, and shells. Vestnik St. Petersburg University: Mathematics. 2007 Сент.;40(3):188-192. https://doi.org/10.3103/S1063454107030041

Author

Tovstik, P. E. / On the asymptotic nature of approximate models of beams, plates, and shells. в: Vestnik St. Petersburg University: Mathematics. 2007 ; Том 40, № 3. стр. 188-192.

BibTeX

@article{55c1a6a928f64e019ff450c79b31db63,
title = "On the asymptotic nature of approximate models of beams, plates, and shells",
abstract = "By using test examples, results obtained for the approximate models of beams, plates, and shells based on the Bernoulli-Kirchhoff-Love and Timoshenko-Reissner kinematical hypotheses are compared with asymptotic solutions to the 3D equations of elasticity theory for narrow areas. Static and free vibration problems for bodies made of linearly elastic orthotropic materials are studied. The main attention is paid to the cases in which the material stiffness in the tangential directions is much larger than that in the transversal direction.",
author = "Tovstik, {P. E.}",
year = "2007",
month = sep,
doi = "10.3103/S1063454107030041",
language = "English",
volume = "40",
pages = "188--192",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - On the asymptotic nature of approximate models of beams, plates, and shells

AU - Tovstik, P. E.

PY - 2007/9

Y1 - 2007/9

N2 - By using test examples, results obtained for the approximate models of beams, plates, and shells based on the Bernoulli-Kirchhoff-Love and Timoshenko-Reissner kinematical hypotheses are compared with asymptotic solutions to the 3D equations of elasticity theory for narrow areas. Static and free vibration problems for bodies made of linearly elastic orthotropic materials are studied. The main attention is paid to the cases in which the material stiffness in the tangential directions is much larger than that in the transversal direction.

AB - By using test examples, results obtained for the approximate models of beams, plates, and shells based on the Bernoulli-Kirchhoff-Love and Timoshenko-Reissner kinematical hypotheses are compared with asymptotic solutions to the 3D equations of elasticity theory for narrow areas. Static and free vibration problems for bodies made of linearly elastic orthotropic materials are studied. The main attention is paid to the cases in which the material stiffness in the tangential directions is much larger than that in the transversal direction.

UR - http://www.scopus.com/inward/record.url?scp=84859713561&partnerID=8YFLogxK

U2 - 10.3103/S1063454107030041

DO - 10.3103/S1063454107030041

M3 - Article

AN - SCOPUS:84859713561

VL - 40

SP - 188

EP - 192

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 3

ER -

ID: 9283678