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Effect of interfacial stresses in an elastic body with a nanoinclusion. / Vakaeva , A.B.; Grekov M.A.

In: AIP Conference Proceedings, Vol. 1959, 070036, 02.05.2018, p. 070036-1-- 070036-5.

Research output: Contribution to journal › Article › peer-review

Harvard

Vakaeva , AB & Grekov M.A. 2018, 'Effect of interfacial stresses in an elastic body with a nanoinclusion', AIP Conference Proceedings, vol. 1959, 070036, pp. 070036-1-- 070036-5. https://doi.org/10.1063/1.5034711

APA

Vakaeva , A. B., & Grekov M.A. (2018). Effect of interfacial stresses in an elastic body with a nanoinclusion. AIP Conference Proceedings, 1959, 070036-1-- 070036-5. [070036]. https://doi.org/10.1063/1.5034711

Vancouver

Vakaeva AB, Grekov M.A. Effect of interfacial stresses in an elastic body with a nanoinclusion. AIP Conference Proceedings. 2018 May 2;1959:070036-1-- 070036-5. 070036. https://doi.org/10.1063/1.5034711

Author

Vakaeva , A.B. ; Grekov M.A. / Effect of interfacial stresses in an elastic body with a nanoinclusion. In: AIP Conference Proceedings. 2018 ; Vol. 1959. pp. 070036-1-- 070036-5.

BibTeX

@article{45742a3145544925ba1c798fcac15dcb,
title = "Effect of interfacial stresses in an elastic body with a nanoinclusion",
abstract = "The 2-D problem of an infinite elastic solid with a nanoinclusion of a different from circular shape is solved. The interfacial stresses are acting at the interface. Contact of the inclusion with the matrix satisfies the ideal conditions of cohesion. The generalized Laplace –Young law defines conditions at the interface. To solve the problem, Gurtin–Murdoch surface elasticity model, Goursat–Kolosov complex potentials and the boundary perturbation method are used. The problem is reduced to the solution of two independent Riemann–Hilbert{\textquoteright}s boundary problems. For the circular inclusion, hypersingular integral equation in an unknown interfacial stress is derived. The algorithm of solving this equation is constructed. The influence of the interfacial stress and the dimension of the circular inclusion on the stress distribution and stress concentration at the interface are analyzed",
author = "A.B. Vakaeva and {Grekov M.A.}",
note = "Funding Information: The work was supported by the Russian Foundation for Basic Research under the grant 18-01-00468.",
year = "2018",
month = may,
day = "2",
doi = "10.1063/1.5034711",
language = "English",
volume = "1959",
pages = "070036--1---- 070036--5",
journal = "AIP Conference Proceedings",
issn = "0094-243X",
publisher = "American Institute of Physics",

}

RIS

TY - JOUR

T1 - Effect of interfacial stresses in an elastic body with a nanoinclusion

AU - Vakaeva , A.B.

AU - Grekov M.A., null

N1 - Funding Information: The work was supported by the Russian Foundation for Basic Research under the grant 18-01-00468.

PY - 2018/5/2

Y1 - 2018/5/2

N2 - The 2-D problem of an infinite elastic solid with a nanoinclusion of a different from circular shape is solved. The interfacial stresses are acting at the interface. Contact of the inclusion with the matrix satisfies the ideal conditions of cohesion. The generalized Laplace –Young law defines conditions at the interface. To solve the problem, Gurtin–Murdoch surface elasticity model, Goursat–Kolosov complex potentials and the boundary perturbation method are used. The problem is reduced to the solution of two independent Riemann–Hilbert’s boundary problems. For the circular inclusion, hypersingular integral equation in an unknown interfacial stress is derived. The algorithm of solving this equation is constructed. The influence of the interfacial stress and the dimension of the circular inclusion on the stress distribution and stress concentration at the interface are analyzed

AB - The 2-D problem of an infinite elastic solid with a nanoinclusion of a different from circular shape is solved. The interfacial stresses are acting at the interface. Contact of the inclusion with the matrix satisfies the ideal conditions of cohesion. The generalized Laplace –Young law defines conditions at the interface. To solve the problem, Gurtin–Murdoch surface elasticity model, Goursat–Kolosov complex potentials and the boundary perturbation method are used. The problem is reduced to the solution of two independent Riemann–Hilbert’s boundary problems. For the circular inclusion, hypersingular integral equation in an unknown interfacial stress is derived. The algorithm of solving this equation is constructed. The influence of the interfacial stress and the dimension of the circular inclusion on the stress distribution and stress concentration at the interface are analyzed

UR - http://www.scopus.com/inward/record.url?scp=85047210196&partnerID=8YFLogxK

UR - https://proxy.library.spbu.ru:3693/item.asp?id=35523165

U2 - 10.1063/1.5034711

DO - 10.1063/1.5034711

M3 - Article

VL - 1959

SP - 070036-1-- 070036-5

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

M1 - 070036

ER -

ID: 35962063