Standard

FLEXURAL RIGIDITY OF MULTILAYER PLATES. / Morozov, N. F.; Tovstik, P. E.; Tovstik, T. P.

In: Mechanics of Solids, Vol. 55, No. 5, 09.2020, p. 607-611.

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

Harvard

Morozov, NF, Tovstik, PE & Tovstik, TP 2020, 'FLEXURAL RIGIDITY OF MULTILAYER PLATES', Mechanics of Solids, vol. 55, no. 5, pp. 607-611. https://doi.org/10.3103/S002565442005012X

APA

Morozov, N. F., Tovstik, P. E., & Tovstik, T. P. (2020). FLEXURAL RIGIDITY OF MULTILAYER PLATES. Mechanics of Solids, 55(5), 607-611. https://doi.org/10.3103/S002565442005012X

Vancouver

Morozov NF, Tovstik PE, Tovstik TP. FLEXURAL RIGIDITY OF MULTILAYER PLATES. Mechanics of Solids. 2020 Sep;55(5):607-611. https://doi.org/10.3103/S002565442005012X

Author

Morozov, N. F. ; Tovstik, P. E. ; Tovstik, T. P. / FLEXURAL RIGIDITY OF MULTILAYER PLATES. In: Mechanics of Solids. 2020 ; Vol. 55, No. 5. pp. 607-611.

BibTeX

@article{68978bbf2cf449158176e1969dc4857c,
title = "FLEXURAL RIGIDITY OF MULTILAYER PLATES",
abstract = "Abstract—: The flexural rigidity of a thin elastic multilayer plate with transversely isotropic layers is considered. If the rigidity of the layers is very different, the classical model based on the hypothesis of a straight normal is not applicable and the effect of lateral shear must be taken into account. Two models for taking into account the effect of transverse shear for a multilayer plate are compared. The first of them, based on the distribution of tangential deformations over the thickness of the plate, was proposed in the work of E. I. Grigolyuk and G. M. Kulikov in 1988. The second model uses an asymptotic expansion of the solution of three-dimensional equations of elasticity theory in powers of a small thin-walled parameter. The errors of the models are estimated by comparison with the exact solution of the three-dimensional test problem.",
keywords = "multilayer plate, transverse shear rigidity models",
author = "Morozov, {N. F.} and Tovstik, {P. E.} and Tovstik, {T. P.}",
note = "Publisher Copyright: {\textcopyright} 2020, Allerton Press, Inc. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2020",
month = sep,
doi = "10.3103/S002565442005012X",
language = "English",
volume = "55",
pages = "607--611",
journal = "Mechanics of Solids",
issn = "0025-6544",
publisher = "Allerton Press, Inc.",
number = "5",

}

RIS

TY - JOUR

T1 - FLEXURAL RIGIDITY OF MULTILAYER PLATES

AU - Morozov, N. F.

AU - Tovstik, P. E.

AU - Tovstik, T. P.

N1 - Publisher Copyright: © 2020, Allerton Press, Inc. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2020/9

Y1 - 2020/9

N2 - Abstract—: The flexural rigidity of a thin elastic multilayer plate with transversely isotropic layers is considered. If the rigidity of the layers is very different, the classical model based on the hypothesis of a straight normal is not applicable and the effect of lateral shear must be taken into account. Two models for taking into account the effect of transverse shear for a multilayer plate are compared. The first of them, based on the distribution of tangential deformations over the thickness of the plate, was proposed in the work of E. I. Grigolyuk and G. M. Kulikov in 1988. The second model uses an asymptotic expansion of the solution of three-dimensional equations of elasticity theory in powers of a small thin-walled parameter. The errors of the models are estimated by comparison with the exact solution of the three-dimensional test problem.

AB - Abstract—: The flexural rigidity of a thin elastic multilayer plate with transversely isotropic layers is considered. If the rigidity of the layers is very different, the classical model based on the hypothesis of a straight normal is not applicable and the effect of lateral shear must be taken into account. Two models for taking into account the effect of transverse shear for a multilayer plate are compared. The first of them, based on the distribution of tangential deformations over the thickness of the plate, was proposed in the work of E. I. Grigolyuk and G. M. Kulikov in 1988. The second model uses an asymptotic expansion of the solution of three-dimensional equations of elasticity theory in powers of a small thin-walled parameter. The errors of the models are estimated by comparison with the exact solution of the three-dimensional test problem.

KW - multilayer plate

KW - transverse shear rigidity models

UR - http://www.scopus.com/inward/record.url?scp=85102222428&partnerID=8YFLogxK

U2 - 10.3103/S002565442005012X

DO - 10.3103/S002565442005012X

M3 - Article

AN - SCOPUS:85102222428

VL - 55

SP - 607

EP - 611

JO - Mechanics of Solids

JF - Mechanics of Solids

SN - 0025-6544

IS - 5

ER -

ID: 76383692