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Effect of surface stresses in an elastic body with a curvilinear nanohole. / Vakaeva, A.B.; Grekov, M.A.

"Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference. Institute of Electrical and Electronics Engineers Inc., 2015. p. 440-443.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Vakaeva, AB & Grekov, MA 2015, Effect of surface stresses in an elastic body with a curvilinear nanohole. in "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference. Institute of Electrical and Electronics Engineers Inc., pp. 440-443. https://doi.org/10.1109/SCP.2015.7342166

APA

Vakaeva, A. B., & Grekov, M. A. (2015). Effect of surface stresses in an elastic body with a curvilinear nanohole. In "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference (pp. 440-443). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SCP.2015.7342166

Vancouver

Vakaeva AB, Grekov MA. Effect of surface stresses in an elastic body with a curvilinear nanohole. In "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference. Institute of Electrical and Electronics Engineers Inc. 2015. p. 440-443 https://doi.org/10.1109/SCP.2015.7342166

Author

Vakaeva, A.B. ; Grekov, M.A. / Effect of surface stresses in an elastic body with a curvilinear nanohole. "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 440-443

BibTeX

@inproceedings{df593018b3c447b18883ea4f42d8e6ba,
title = "Effect of surface stresses in an elastic body with a curvilinear nanohole",
abstract = "The plane problem for an elastic body containing a curvilinear defect under arbitrary remote loading is considered. The complementary surface stresses are acting at the boundary of the nanohole. It is assumed that a shape of the hole is weakly deviated from the circular one. Conditions at the boundary are formulated according to the generalized Laplace - Young equations. Using Gurtin - Murdoch surface elasticity model and Goursat - Kolosov complex potentials, the solution of the problem is sought by the boundary perturbation technique. For any-order approximation, singular integro-differential equation is derived. The algorithm of solving this equation is constructed. This solution and corresponding complex potentials for computing stresses are obtained for zero-order approximation and the effect of surface stresses is presented.",
author = "A.B. Vakaeva and M.A. Grekov",
year = "2015",
doi = "10.1109/SCP.2015.7342166",
language = "English",
isbn = "9781467376983",
pages = "440--443",
booktitle = "{"}Stability and Control Processes{"} in Memory of V.I. Zubov (SCP), 2015 International Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",

}

RIS

TY - GEN

T1 - Effect of surface stresses in an elastic body with a curvilinear nanohole

AU - Vakaeva, A.B.

AU - Grekov, M.A.

PY - 2015

Y1 - 2015

N2 - The plane problem for an elastic body containing a curvilinear defect under arbitrary remote loading is considered. The complementary surface stresses are acting at the boundary of the nanohole. It is assumed that a shape of the hole is weakly deviated from the circular one. Conditions at the boundary are formulated according to the generalized Laplace - Young equations. Using Gurtin - Murdoch surface elasticity model and Goursat - Kolosov complex potentials, the solution of the problem is sought by the boundary perturbation technique. For any-order approximation, singular integro-differential equation is derived. The algorithm of solving this equation is constructed. This solution and corresponding complex potentials for computing stresses are obtained for zero-order approximation and the effect of surface stresses is presented.

AB - The plane problem for an elastic body containing a curvilinear defect under arbitrary remote loading is considered. The complementary surface stresses are acting at the boundary of the nanohole. It is assumed that a shape of the hole is weakly deviated from the circular one. Conditions at the boundary are formulated according to the generalized Laplace - Young equations. Using Gurtin - Murdoch surface elasticity model and Goursat - Kolosov complex potentials, the solution of the problem is sought by the boundary perturbation technique. For any-order approximation, singular integro-differential equation is derived. The algorithm of solving this equation is constructed. This solution and corresponding complex potentials for computing stresses are obtained for zero-order approximation and the effect of surface stresses is presented.

U2 - 10.1109/SCP.2015.7342166

DO - 10.1109/SCP.2015.7342166

M3 - Conference contribution

SN - 9781467376983

SP - 440

EP - 443

BT - "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

ID: 3985154