A multilayer film coating with slightly curved boundary

Результат исследований: Научные публикации в периодических изданияхстатья

20 Цитирования (Scopus)

Выдержка

Surface irregularity is often a source of stress concentrations. They can be reduced by proper matching of dissimilar surface layers. In this connection, a 2-D model of an isotropic multilayer film-substrate composite with rough surface is considered, in order to examine an influence of physical and geometrical properties of the components on the stress state of a boundary. Using the complex variable representations and boundary perturbation technique, the problem is reduced to the set of Fredholm integral equations of the second kind for an arbitrary shape of the boundary. The solution is given in terms of Fourier series for the periodic shape. In the case of a bilayer film coating, numerical results obtained with the use of the first-order approximation demonstrate effects of the boundary shape, thickness and elastic properties of the layers and the substrate on the stress state of a rough surface.
Язык оригиналаанглийский
Страницы (с-по)61-74
ЖурналInternational Journal of Engineering Science
Том89
DOI
СостояниеОпубликовано - 2015

Отпечаток

Curved Boundary
Multilayer films
Coating
Multilayer
Coatings
Rough Surface
Substrate
Perturbation techniques
Stress Concentration
Perturbation Technique
Fourier series
Elastic Properties
Complex Variables
Fredholm Integral Equation
Irregularity
Substrates
Integral equations
Stress concentration
Composite
First-order

Предметные области Scopus

  • Математика (все)

Цитировать

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A multilayer film coating with slightly curved boundary. / Grekov, M.A.; Kostyrko, S.A.

В: International Journal of Engineering Science, Том 89, 2015, стр. 61-74.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

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AU - Grekov, M.A.

AU - Kostyrko, S.A.

PY - 2015

Y1 - 2015

N2 - Surface irregularity is often a source of stress concentrations. They can be reduced by proper matching of dissimilar surface layers. In this connection, a 2-D model of an isotropic multilayer film-substrate composite with rough surface is considered, in order to examine an influence of physical and geometrical properties of the components on the stress state of a boundary. Using the complex variable representations and boundary perturbation technique, the problem is reduced to the set of Fredholm integral equations of the second kind for an arbitrary shape of the boundary. The solution is given in terms of Fourier series for the periodic shape. In the case of a bilayer film coating, numerical results obtained with the use of the first-order approximation demonstrate effects of the boundary shape, thickness and elastic properties of the layers and the substrate on the stress state of a rough surface.

AB - Surface irregularity is often a source of stress concentrations. They can be reduced by proper matching of dissimilar surface layers. In this connection, a 2-D model of an isotropic multilayer film-substrate composite with rough surface is considered, in order to examine an influence of physical and geometrical properties of the components on the stress state of a boundary. Using the complex variable representations and boundary perturbation technique, the problem is reduced to the set of Fredholm integral equations of the second kind for an arbitrary shape of the boundary. The solution is given in terms of Fourier series for the periodic shape. In the case of a bilayer film coating, numerical results obtained with the use of the first-order approximation demonstrate effects of the boundary shape, thickness and elastic properties of the layers and the substrate on the stress state of a rough surface.

KW - Multilayer film coating

KW - Rough surface

KW - Stress concentration

U2 - 10.1016/j.ijengsci.2014.12.001

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JF - International Journal of Engineering Science

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