Standard

Shape derivative of the energy functional for the bending of elastic plates with thin defects. / Shcherbakov, V. V.

в: Journal of Physics: Conference Series, Том 894, № 1, 012084, 22.10.2017.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Shcherbakov, VV 2017, 'Shape derivative of the energy functional for the bending of elastic plates with thin defects', Journal of Physics: Conference Series, Том. 894, № 1, 012084. https://doi.org/10.1088/1742-6596/894/1/012084

APA

Vancouver

Shcherbakov VV. Shape derivative of the energy functional for the bending of elastic plates with thin defects. Journal of Physics: Conference Series. 2017 окт. 22;894(1):012084. doi: 10.1088/1742-6596/894/1/012084

Author

Shcherbakov, V. V. / Shape derivative of the energy functional for the bending of elastic plates with thin defects. в: Journal of Physics: Conference Series. 2017 ; Том 894, № 1.

BibTeX

@article{9feec6b62d4c4d0ca026a591d8a4c4c5,
title = "Shape derivative of the energy functional for the bending of elastic plates with thin defects",
abstract = "The paper deals with an equilibrium problem for a homogeneous isotropic elastic plate with a thin rigid inclusion and interfacial crack. We provide an explicit formula for the first shape derivative of the energy functional in the direction of a given vector field by means of a volume integral. For specific examples of the vector field, we derive some representations of the formula in terms of path-independent contour integrals.",
keywords = "RIGID INCLUSION, INTEGRALS, CRACK",
author = "Shcherbakov, {V. V.}",
year = "2017",
month = oct,
day = "22",
doi = "10.1088/1742-6596/894/1/012084",
language = "English",
volume = "894",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - Shape derivative of the energy functional for the bending of elastic plates with thin defects

AU - Shcherbakov, V. V.

PY - 2017/10/22

Y1 - 2017/10/22

N2 - The paper deals with an equilibrium problem for a homogeneous isotropic elastic plate with a thin rigid inclusion and interfacial crack. We provide an explicit formula for the first shape derivative of the energy functional in the direction of a given vector field by means of a volume integral. For specific examples of the vector field, we derive some representations of the formula in terms of path-independent contour integrals.

AB - The paper deals with an equilibrium problem for a homogeneous isotropic elastic plate with a thin rigid inclusion and interfacial crack. We provide an explicit formula for the first shape derivative of the energy functional in the direction of a given vector field by means of a volume integral. For specific examples of the vector field, we derive some representations of the formula in terms of path-independent contour integrals.

KW - RIGID INCLUSION

KW - INTEGRALS

KW - CRACK

UR - http://www.scopus.com/inward/record.url?scp=85033232271&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/894/1/012084

DO - 10.1088/1742-6596/894/1/012084

M3 - Article

AN - SCOPUS:85033232271

VL - 894

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012084

ER -

ID: 9700124