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Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers. / Belyaev, Alexander K.; Morozov, Nikita F.; Tovstik, Petr E.; Tovstik, Tatiana P.

Recent Approaches in the Theory of Plates and Plate-Like Structures. Springer Nature, 2022. p. 27-38 (Advanced Structured Materials; Vol. 151).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Harvard

Belyaev, AK, Morozov, NF, Tovstik, PE & Tovstik, TP 2022, Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers. in Recent Approaches in the Theory of Plates and Plate-Like Structures. Advanced Structured Materials, vol. 151, Springer Nature, pp. 27-38. https://doi.org/10.1007/978-3-030-87185-7_3

APA

Belyaev, A. K., Morozov, N. F., Tovstik, P. E., & Tovstik, T. P. (2022). Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers. In Recent Approaches in the Theory of Plates and Plate-Like Structures (pp. 27-38). (Advanced Structured Materials; Vol. 151). Springer Nature. https://doi.org/10.1007/978-3-030-87185-7_3

Vancouver

Belyaev AK, Morozov NF, Tovstik PE, Tovstik TP. Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers. In Recent Approaches in the Theory of Plates and Plate-Like Structures. Springer Nature. 2022. p. 27-38. (Advanced Structured Materials). https://doi.org/10.1007/978-3-030-87185-7_3

Author

Belyaev, Alexander K. ; Morozov, Nikita F. ; Tovstik, Petr E. ; Tovstik, Tatiana P. / Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers. Recent Approaches in the Theory of Plates and Plate-Like Structures. Springer Nature, 2022. pp. 27-38 (Advanced Structured Materials).

BibTeX

@inbook{dd8604a6dea94bcfac53afb349c12245,
title = "Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers",
abstract = "The bending stiffness of a multilayer plate with alternating soft and hard layers is considered under the assumption that the deformation wavelength is substantially greater than the plate thickness. We discuss the approximate methods for determining the shear compliance required for replacing a multilayer plate with an equivalent single-layer Timoshenko–Reissner plate. A comparison is made with the exact solution of the three-dimensional problem of the theory of elasticity. The dependence of shear compliance on the ratio of Young{\textquoteright}s moduli of layers and on their location is investigated.",
keywords = "Generalized Timoshenko–Reissner model, Long-wave deformation, Multilayer plate, Plate vibrations and buckling, Transverse shear stiffness",
author = "Belyaev, {Alexander K.} and Morozov, {Nikita F.} and Tovstik, {Petr E.} and Tovstik, {Tatiana P.}",
note = "Belyaev A.K., Morozov N.F., Tovstik P.E., Tovstik T.P. (2022) Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers. In: Altenbach H., Bauer S., Eremeyev V.A., Mikhasev G.I., Morozov N.F. (eds) Recent Approaches in the Theory of Plates and Plate-Like Structures. Advanced Structured Materials, vol 151. Springer, Cham. https://proxy.library.spbu.ru:2060/10.1007/978-3-030-87185-7_3",
year = "2022",
doi = "10.1007/978-3-030-87185-7_3",
language = "English",
isbn = "978-3-030-87184-0",
series = "Advanced Structured Materials",
publisher = "Springer Nature",
pages = "27--38",
booktitle = "Recent Approaches in the Theory of Plates and Plate-Like Structures",
address = "Germany",

}

RIS

TY - CHAP

T1 - Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers

AU - Belyaev, Alexander K.

AU - Morozov, Nikita F.

AU - Tovstik, Petr E.

AU - Tovstik, Tatiana P.

N1 - Belyaev A.K., Morozov N.F., Tovstik P.E., Tovstik T.P. (2022) Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers. In: Altenbach H., Bauer S., Eremeyev V.A., Mikhasev G.I., Morozov N.F. (eds) Recent Approaches in the Theory of Plates and Plate-Like Structures. Advanced Structured Materials, vol 151. Springer, Cham. https://proxy.library.spbu.ru:2060/10.1007/978-3-030-87185-7_3

PY - 2022

Y1 - 2022

N2 - The bending stiffness of a multilayer plate with alternating soft and hard layers is considered under the assumption that the deformation wavelength is substantially greater than the plate thickness. We discuss the approximate methods for determining the shear compliance required for replacing a multilayer plate with an equivalent single-layer Timoshenko–Reissner plate. A comparison is made with the exact solution of the three-dimensional problem of the theory of elasticity. The dependence of shear compliance on the ratio of Young’s moduli of layers and on their location is investigated.

AB - The bending stiffness of a multilayer plate with alternating soft and hard layers is considered under the assumption that the deformation wavelength is substantially greater than the plate thickness. We discuss the approximate methods for determining the shear compliance required for replacing a multilayer plate with an equivalent single-layer Timoshenko–Reissner plate. A comparison is made with the exact solution of the three-dimensional problem of the theory of elasticity. The dependence of shear compliance on the ratio of Young’s moduli of layers and on their location is investigated.

KW - Generalized Timoshenko–Reissner model

KW - Long-wave deformation

KW - Multilayer plate

KW - Plate vibrations and buckling

KW - Transverse shear stiffness

UR - http://www.scopus.com/inward/record.url?scp=85122439349&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/b2aa7717-52b2-3fa0-9731-a0b0288b9d0f/

U2 - 10.1007/978-3-030-87185-7_3

DO - 10.1007/978-3-030-87185-7_3

M3 - Chapter

AN - SCOPUS:85122439349

SN - 978-3-030-87184-0

T3 - Advanced Structured Materials

SP - 27

EP - 38

BT - Recent Approaches in the Theory of Plates and Plate-Like Structures

PB - Springer Nature

ER -

ID: 91854824