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Inverse problems for elastic body with closely located thin inclusions. / Khludnev, A. M.

In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 70, No. 5, 134, 01.10.2019.

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

Harvard

Khludnev, AM 2019, 'Inverse problems for elastic body with closely located thin inclusions', Zeitschrift fur Angewandte Mathematik und Physik, vol. 70, no. 5, 134. https://doi.org/10.1007/s00033-019-1179-y

APA

Khludnev, A. M. (2019). Inverse problems for elastic body with closely located thin inclusions. Zeitschrift fur Angewandte Mathematik und Physik, 70(5), [134]. https://doi.org/10.1007/s00033-019-1179-y

Vancouver

Khludnev AM. Inverse problems for elastic body with closely located thin inclusions. Zeitschrift fur Angewandte Mathematik und Physik. 2019 Oct 1;70(5):134. doi: 10.1007/s00033-019-1179-y

Author

Khludnev, A. M. / Inverse problems for elastic body with closely located thin inclusions. In: Zeitschrift fur Angewandte Mathematik und Physik. 2019 ; Vol. 70, No. 5.

BibTeX

@article{452a861541a34bba91e95df4af349af0,
title = "Inverse problems for elastic body with closely located thin inclusions",
abstract = "We consider an equilibrium problem for a 2D elastic body with two thin closely located elastic inclusions. Inclusions are in a contact with each other which means a presence of a crack between them. Nonlinear boundary conditions of inequality type are imposed at the crack faces providing a mutual non-penetration. Moreover, the inclusions cross the external boundary of the elastic body. The unique solvability of the problem is proved. Passages to limits are investigated as rigidity parameters of the inclusions tend to infinity, and limit models are analyzed. Inverse problems for finding the rigidity parameter and Lam{\'e} parameters of the elastic body are investigated with a boundary measurement of the tip point displacement of the inclusion.",
keywords = "Elastic body, Inverse problem, Lam{\'e} parameters, Rigidity parameter, Thin inclusion, SHAPE SENSITIVITY-ANALYSIS, CONTACT, Lame parameters, BOUNDARY, PARAMETER-IDENTIFICATION, PLATE, CRACKS",
author = "Khludnev, {A. M.}",
note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2019",
month = oct,
day = "1",
doi = "10.1007/s00033-019-1179-y",
language = "English",
volume = "70",
journal = "Zeitschrift fur Angewandte Mathematik und Physik",
issn = "0044-2275",
publisher = "Birkhauser Verlag Basel",
number = "5",

}

RIS

TY - JOUR

T1 - Inverse problems for elastic body with closely located thin inclusions

AU - Khludnev, A. M.

N1 - Publisher Copyright: © 2019, Springer Nature Switzerland AG. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2019/10/1

Y1 - 2019/10/1

N2 - We consider an equilibrium problem for a 2D elastic body with two thin closely located elastic inclusions. Inclusions are in a contact with each other which means a presence of a crack between them. Nonlinear boundary conditions of inequality type are imposed at the crack faces providing a mutual non-penetration. Moreover, the inclusions cross the external boundary of the elastic body. The unique solvability of the problem is proved. Passages to limits are investigated as rigidity parameters of the inclusions tend to infinity, and limit models are analyzed. Inverse problems for finding the rigidity parameter and Lamé parameters of the elastic body are investigated with a boundary measurement of the tip point displacement of the inclusion.

AB - We consider an equilibrium problem for a 2D elastic body with two thin closely located elastic inclusions. Inclusions are in a contact with each other which means a presence of a crack between them. Nonlinear boundary conditions of inequality type are imposed at the crack faces providing a mutual non-penetration. Moreover, the inclusions cross the external boundary of the elastic body. The unique solvability of the problem is proved. Passages to limits are investigated as rigidity parameters of the inclusions tend to infinity, and limit models are analyzed. Inverse problems for finding the rigidity parameter and Lamé parameters of the elastic body are investigated with a boundary measurement of the tip point displacement of the inclusion.

KW - Elastic body

KW - Inverse problem

KW - Lamé parameters

KW - Rigidity parameter

KW - Thin inclusion

KW - SHAPE SENSITIVITY-ANALYSIS

KW - CONTACT

KW - Lame parameters

KW - BOUNDARY

KW - PARAMETER-IDENTIFICATION

KW - PLATE

KW - CRACKS

UR - http://www.scopus.com/inward/record.url?scp=85070939977&partnerID=8YFLogxK

U2 - 10.1007/s00033-019-1179-y

DO - 10.1007/s00033-019-1179-y

M3 - Article

AN - SCOPUS:85070939977

VL - 70

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

SN - 0044-2275

IS - 5

M1 - 134

ER -

ID: 21345243