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On Timoshenko inclusions in elastic bodies crossing an external boundary. / Khludnev, Alexander; Popova, Tatiana.

Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017. ed. / IE Egorov; SV Popov; PN Vabishchevich; MY Antonov; NP Lazarev; MS Troeva; MS Troeva; AO Ivanova; YM Grigorev. Vol. 1907 American Institute of Physics Inc., 2017. 020007 (AIP Conference Proceedings; Vol. 1907).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Harvard

Khludnev, A & Popova, T 2017, On Timoshenko inclusions in elastic bodies crossing an external boundary. in IE Egorov, SV Popov, PN Vabishchevich, MY Antonov, NP Lazarev, MS Troeva, MS Troeva, AO Ivanova & YM Grigorev (eds), Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017. vol. 1907, 020007, AIP Conference Proceedings, vol. 1907, American Institute of Physics Inc., 8th International Conference on Mathematical Modeling, ICMM 2017, Yakutsk, Russian Federation, 04.07.2017. https://doi.org/10.1063/1.5012618

APA

Khludnev, A., & Popova, T. (2017). On Timoshenko inclusions in elastic bodies crossing an external boundary. In IE. Egorov, SV. Popov, PN. Vabishchevich, MY. Antonov, NP. Lazarev, MS. Troeva, MS. Troeva, AO. Ivanova, & YM. Grigorev (Eds.), Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017 (Vol. 1907). [020007] (AIP Conference Proceedings; Vol. 1907). American Institute of Physics Inc.. https://doi.org/10.1063/1.5012618

Vancouver

Khludnev A, Popova T. On Timoshenko inclusions in elastic bodies crossing an external boundary. In Egorov IE, Popov SV, Vabishchevich PN, Antonov MY, Lazarev NP, Troeva MS, Troeva MS, Ivanova AO, Grigorev YM, editors, Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017. Vol. 1907. American Institute of Physics Inc. 2017. 020007. (AIP Conference Proceedings). doi: 10.1063/1.5012618

Author

Khludnev, Alexander ; Popova, Tatiana. / On Timoshenko inclusions in elastic bodies crossing an external boundary. Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017. editor / IE Egorov ; SV Popov ; PN Vabishchevich ; MY Antonov ; NP Lazarev ; MS Troeva ; MS Troeva ; AO Ivanova ; YM Grigorev. Vol. 1907 American Institute of Physics Inc., 2017. (AIP Conference Proceedings).

BibTeX

@inproceedings{0ff540d62eeb4e04b450304dfc4ed74f,
title = "On Timoshenko inclusions in elastic bodies crossing an external boundary",
abstract = "The talk is concerned with an analysis of equilibrium problems for 2D elastic bodies with a thin Timoshenko inclusion crossing an external boundary at zero angle. The inclusion is assumed to be delaminated, forming a crack between the inclusion and the body. We consider elastic inclusions as well as rigid inclusions. To prevent a mutual penetration between the crack faces, inequality type boundary conditions are imposed at the crack faces. Theorems of existence and uniqueness are established. Passages to limits are investigated as a rigidity parameter of the elastic inclusion goes to infinity.",
author = "Alexander Khludnev and Tatiana Popova",
year = "2017",
month = nov,
day = "14",
doi = "10.1063/1.5012618",
language = "English",
volume = "1907",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "IE Egorov and SV Popov and PN Vabishchevich and MY Antonov and NP Lazarev and MS Troeva and MS Troeva and AO Ivanova and YM Grigorev",
booktitle = "Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017",
note = "8th International Conference on Mathematical Modeling, ICMM 2017 ; Conference date: 04-07-2017 Through 08-07-2017",

}

RIS

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T1 - On Timoshenko inclusions in elastic bodies crossing an external boundary

AU - Khludnev, Alexander

AU - Popova, Tatiana

PY - 2017/11/14

Y1 - 2017/11/14

N2 - The talk is concerned with an analysis of equilibrium problems for 2D elastic bodies with a thin Timoshenko inclusion crossing an external boundary at zero angle. The inclusion is assumed to be delaminated, forming a crack between the inclusion and the body. We consider elastic inclusions as well as rigid inclusions. To prevent a mutual penetration between the crack faces, inequality type boundary conditions are imposed at the crack faces. Theorems of existence and uniqueness are established. Passages to limits are investigated as a rigidity parameter of the elastic inclusion goes to infinity.

AB - The talk is concerned with an analysis of equilibrium problems for 2D elastic bodies with a thin Timoshenko inclusion crossing an external boundary at zero angle. The inclusion is assumed to be delaminated, forming a crack between the inclusion and the body. We consider elastic inclusions as well as rigid inclusions. To prevent a mutual penetration between the crack faces, inequality type boundary conditions are imposed at the crack faces. Theorems of existence and uniqueness are established. Passages to limits are investigated as a rigidity parameter of the elastic inclusion goes to infinity.

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U2 - 10.1063/1.5012618

DO - 10.1063/1.5012618

M3 - Conference contribution

AN - SCOPUS:85036595034

VL - 1907

T3 - AIP Conference Proceedings

BT - Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017

A2 - Egorov, IE

A2 - Popov, SV

A2 - Vabishchevich, PN

A2 - Antonov, MY

A2 - Lazarev, NP

A2 - Troeva, MS

A2 - Troeva, MS

A2 - Ivanova, AO

A2 - Grigorev, YM

PB - American Institute of Physics Inc.

T2 - 8th International Conference on Mathematical Modeling, ICMM 2017

Y2 - 4 July 2017 through 8 July 2017

ER -

ID: 9648209