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Effect of nanosized asperities at the surface of a nanohole. / Grekov, M.A.; Вакаева, Александра Борисовна.

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering. National Technical University of Athens (NTUA), 2016. стр. 7875-7885.

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Grekov, MA & Вакаева, АБ 2016, Effect of nanosized asperities at the surface of a nanohole. в Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering. National Technical University of Athens (NTUA), стр. 7875-7885. <http://www.eccomas.org/cvdata/cntr1/spc7/dtos/img/mdia/eccomas-2016-vol-4(1).pdf>

APA

Grekov, M. A., & Вакаева, А. Б. (2016). Effect of nanosized asperities at the surface of a nanohole. в Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (стр. 7875-7885). National Technical University of Athens (NTUA). http://www.eccomas.org/cvdata/cntr1/spc7/dtos/img/mdia/eccomas-2016-vol-4(1).pdf

Vancouver

Grekov MA, Вакаева АБ. Effect of nanosized asperities at the surface of a nanohole. в Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering. National Technical University of Athens (NTUA). 2016. стр. 7875-7885

Author

Grekov, M.A. ; Вакаева, Александра Борисовна. / Effect of nanosized asperities at the surface of a nanohole. Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering. National Technical University of Athens (NTUA), 2016. стр. 7875-7885

BibTeX

@inproceedings{a6b3bde0dac4477f8e59ed8071c1c4b7,
title = "Effect of nanosized asperities at the surface of a nanohole",
abstract = "The two-dimensional problem on a curvilinear nanohole in an infinite elastic body under arbitrary remote loading is solved. The shape of the hole is assumed to be weakly deviated from the circular one and the complementary surface stresses are acting at the boundary. The boundary conditions are formulated according to the generalized Laplace – Young law. The study is based on Gurtin – Murdoch surface elasticity model. Using Goursat – Kolosov complex potentials and the boundary perturbation technique, the solution of the problem is reduced to a singular integro-differential equation for any-order approximation. The algorithm of solving this integral equation is constructed in the form of a power series. Solutions of the integral equation and corresponding complex potentials are obtained for zero-order and firstorder approximations. The size effect in the form of the dependence of the stress distribution at the surface on the size of the hole is demonstrated.",
keywords = "Nanosized Asperities, Nanohole, Surface Stress, Perturbation Method, IntegralEquation, Stress Concentration.",
author = "M.A. Grekov and Вакаева, {Александра Борисовна}",
year = "2016",
language = "English",
pages = "7875--7885",
booktitle = "Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering",
publisher = "National Technical University of Athens (NTUA)",
address = "Greece",

}

RIS

TY - GEN

T1 - Effect of nanosized asperities at the surface of a nanohole

AU - Grekov, M.A.

AU - Вакаева, Александра Борисовна

PY - 2016

Y1 - 2016

N2 - The two-dimensional problem on a curvilinear nanohole in an infinite elastic body under arbitrary remote loading is solved. The shape of the hole is assumed to be weakly deviated from the circular one and the complementary surface stresses are acting at the boundary. The boundary conditions are formulated according to the generalized Laplace – Young law. The study is based on Gurtin – Murdoch surface elasticity model. Using Goursat – Kolosov complex potentials and the boundary perturbation technique, the solution of the problem is reduced to a singular integro-differential equation for any-order approximation. The algorithm of solving this integral equation is constructed in the form of a power series. Solutions of the integral equation and corresponding complex potentials are obtained for zero-order and firstorder approximations. The size effect in the form of the dependence of the stress distribution at the surface on the size of the hole is demonstrated.

AB - The two-dimensional problem on a curvilinear nanohole in an infinite elastic body under arbitrary remote loading is solved. The shape of the hole is assumed to be weakly deviated from the circular one and the complementary surface stresses are acting at the boundary. The boundary conditions are formulated according to the generalized Laplace – Young law. The study is based on Gurtin – Murdoch surface elasticity model. Using Goursat – Kolosov complex potentials and the boundary perturbation technique, the solution of the problem is reduced to a singular integro-differential equation for any-order approximation. The algorithm of solving this integral equation is constructed in the form of a power series. Solutions of the integral equation and corresponding complex potentials are obtained for zero-order and firstorder approximations. The size effect in the form of the dependence of the stress distribution at the surface on the size of the hole is demonstrated.

KW - Nanosized Asperities

KW - Nanohole

KW - Surface Stress

KW - Perturbation Method

KW - IntegralEquation

KW - Stress Concentration.

M3 - Conference contribution

SP - 7875

EP - 7885

BT - Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering

PB - National Technical University of Athens (NTUA)

ER -

ID: 7596129