Standard

Model of film coating with weakly curved surface. / Vikulina, Yu.I.; Grekov, M.A.; Kostyrko, S.A.

In: Mechanics of Solids, Vol. 45, No. 6, 2010, p. 778-788.

Research output: Contribution to journal › Article

Harvard

Vikulina, YI, Grekov, MA & Kostyrko, SA 2010, 'Model of film coating with weakly curved surface.', Mechanics of Solids, vol. 45, no. 6, pp. 778-788. https://doi.org/10.3103/S0025654410060038

APA

Vikulina, Y. I., Grekov, M. A., & Kostyrko, S. A. (2010). Model of film coating with weakly curved surface. Mechanics of Solids, 45(6), 778-788. https://doi.org/10.3103/S0025654410060038

Vancouver

Vikulina YI, Grekov MA, Kostyrko SA. Model of film coating with weakly curved surface. Mechanics of Solids. 2010;45(6):778-788. https://doi.org/10.3103/S0025654410060038

Author

Vikulina, Yu.I. ; Grekov, M.A. ; Kostyrko, S.A. / Model of film coating with weakly curved surface. In: Mechanics of Solids. 2010 ; Vol. 45, No. 6. pp. 778-788.

BibTeX

@article{6d6058ea240943f59d086f04c749983a,
title = "Model of film coating with weakly curved surface.",
abstract = "We use the perturbation method to construct a solution of the plane problem of elasticity for a film-foundation composite where the film surface is weakly curved. In the case where the film surface has a periodic shape, the problem solution in each approximation is represented in terms of Fourier series with coefficients expressed in terms of quadrature. In the first approximation, we obtain the stresses on the film surface and on the interphase surface in terms of the surface curvature, the film average thickness, and the film-to-foundation Young's modulus ratio.",
keywords = "film coating, curved surface, stress concentration",
author = "Yu.I. Vikulina and M.A. Grekov and S.A. Kostyrko",
year = "2010",
doi = "10.3103/S0025654410060038",
language = "English",
volume = "45",
pages = "778--788",
journal = "Mechanics of Solids",
issn = "0025-6544",
publisher = "Allerton Press, Inc.",
number = "6",

}

RIS

TY - JOUR

T1 - Model of film coating with weakly curved surface.

AU - Vikulina, Yu.I.

AU - Grekov, M.A.

AU - Kostyrko, S.A.

PY - 2010

Y1 - 2010

N2 - We use the perturbation method to construct a solution of the plane problem of elasticity for a film-foundation composite where the film surface is weakly curved. In the case where the film surface has a periodic shape, the problem solution in each approximation is represented in terms of Fourier series with coefficients expressed in terms of quadrature. In the first approximation, we obtain the stresses on the film surface and on the interphase surface in terms of the surface curvature, the film average thickness, and the film-to-foundation Young's modulus ratio.

AB - We use the perturbation method to construct a solution of the plane problem of elasticity for a film-foundation composite where the film surface is weakly curved. In the case where the film surface has a periodic shape, the problem solution in each approximation is represented in terms of Fourier series with coefficients expressed in terms of quadrature. In the first approximation, we obtain the stresses on the film surface and on the interphase surface in terms of the surface curvature, the film average thickness, and the film-to-foundation Young's modulus ratio.

KW - film coating

KW - curved surface

KW - stress concentration

U2 - 10.3103/S0025654410060038

DO - 10.3103/S0025654410060038

M3 - Article

VL - 45

SP - 778

EP - 788

JO - Mechanics of Solids

JF - Mechanics of Solids

SN - 0025-6544

IS - 6

ER -

ID: 5165802