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Bending stiffness of a multilayered plate. / Tovstik, Petr E.; Tovstik, Tatiana M.

ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. Vol. 2 National Technical University of Athens (NTUA), 2016. p. 3423-3435.

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

Harvard

Tovstik, PE & Tovstik, TM 2016, Bending stiffness of a multilayered plate. in ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. vol. 2, National Technical University of Athens (NTUA), pp. 3423-3435, 7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016, Crete, Greece, 4/06/16. https://doi.org/10.7712/100016.2045.10142

APA

Tovstik, P. E., & Tovstik, T. M. (2016). Bending stiffness of a multilayered plate. In ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering (Vol. 2, pp. 3423-3435). National Technical University of Athens (NTUA). https://doi.org/10.7712/100016.2045.10142

Vancouver

Tovstik PE, Tovstik TM. Bending stiffness of a multilayered plate. In ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. Vol. 2. National Technical University of Athens (NTUA). 2016. p. 3423-3435 https://doi.org/10.7712/100016.2045.10142

Author

Tovstik, Petr E. ; Tovstik, Tatiana M. / Bending stiffness of a multilayered plate. ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. Vol. 2 National Technical University of Athens (NTUA), 2016. pp. 3423-3435

BibTeX

@inproceedings{fed29a62bc124ebc8a7a9390b3d033ba,
title = "Bending stiffness of a multilayered plate",
abstract = "A thin elastic multilayered plate consisting of alternating hard and soft isotropic layers is studied. One of the face planes is subject to a normal pressure and the other face plane is free. A formula for the deflection of an infinite plate under a doubly periodic external force is delivered using asymptotic expansions. This formula is also applied for a rectangular plate with Navier boundary conditions on its edges. The maximal deflection is accepted as a measure of the plate stiffness. The purpose of the present paper is to obtain an expression for the plate deflection and find an optimal distribution of hard and soft layers assuming that their total thicknesses are given. The Monte Carlo method is used for finding the optimal distribution of layers.",
keywords = "Asymptotic methods, Bending stiffness, Monte carlo method, Multilayered plate",
author = "Tovstik, {Petr E.} and Tovstik, {Tatiana M.}",
year = "2016",
doi = "10.7712/100016.2045.10142",
language = "English",
volume = "2",
pages = "3423--3435",
booktitle = "ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering",
publisher = "National Technical University of Athens (NTUA)",
address = "Greece",
note = "7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 ; Conference date: 04-06-2016 Through 09-06-2016",

}

RIS

TY - GEN

T1 - Bending stiffness of a multilayered plate

AU - Tovstik, Petr E.

AU - Tovstik, Tatiana M.

PY - 2016

Y1 - 2016

N2 - A thin elastic multilayered plate consisting of alternating hard and soft isotropic layers is studied. One of the face planes is subject to a normal pressure and the other face plane is free. A formula for the deflection of an infinite plate under a doubly periodic external force is delivered using asymptotic expansions. This formula is also applied for a rectangular plate with Navier boundary conditions on its edges. The maximal deflection is accepted as a measure of the plate stiffness. The purpose of the present paper is to obtain an expression for the plate deflection and find an optimal distribution of hard and soft layers assuming that their total thicknesses are given. The Monte Carlo method is used for finding the optimal distribution of layers.

AB - A thin elastic multilayered plate consisting of alternating hard and soft isotropic layers is studied. One of the face planes is subject to a normal pressure and the other face plane is free. A formula for the deflection of an infinite plate under a doubly periodic external force is delivered using asymptotic expansions. This formula is also applied for a rectangular plate with Navier boundary conditions on its edges. The maximal deflection is accepted as a measure of the plate stiffness. The purpose of the present paper is to obtain an expression for the plate deflection and find an optimal distribution of hard and soft layers assuming that their total thicknesses are given. The Monte Carlo method is used for finding the optimal distribution of layers.

KW - Asymptotic methods

KW - Bending stiffness

KW - Monte carlo method

KW - Multilayered plate

UR - http://www.scopus.com/inward/record.url?scp=84995460767&partnerID=8YFLogxK

U2 - 10.7712/100016.2045.10142

DO - 10.7712/100016.2045.10142

M3 - Conference contribution

AN - SCOPUS:84995460767

VL - 2

SP - 3423

EP - 3435

BT - ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering

PB - National Technical University of Athens (NTUA)

T2 - 7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016

Y2 - 4 June 2016 through 9 June 2016

ER -

ID: 9282253