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Inverse problem for elastic body with thin elastic inclusion. / Khludnev, Alexander M.

In: Journal of Inverse and Ill-Posed Problems, Vol. 28, No. 2, 01.01.2019, p. 195-209.

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

Harvard

Khludnev, AM 2019, 'Inverse problem for elastic body with thin elastic inclusion', Journal of Inverse and Ill-Posed Problems, vol. 28, no. 2, pp. 195-209. https://doi.org/10.1515/jiip-2019-0075

APA

Khludnev, A. M. (2019). Inverse problem for elastic body with thin elastic inclusion. Journal of Inverse and Ill-Posed Problems, 28(2), 195-209. https://doi.org/10.1515/jiip-2019-0075

Vancouver

Khludnev AM. Inverse problem for elastic body with thin elastic inclusion. Journal of Inverse and Ill-Posed Problems. 2019 Jan 1;28(2):195-209. doi: 10.1515/jiip-2019-0075

Author

Khludnev, Alexander M. / Inverse problem for elastic body with thin elastic inclusion. In: Journal of Inverse and Ill-Posed Problems. 2019 ; Vol. 28, No. 2. pp. 195-209.

BibTeX

@article{61c7c6fa2c3d4c55872daad2585a1865,
title = "Inverse problem for elastic body with thin elastic inclusion",
abstract = "An inverse problem for an elastic body with a thin elastic inclusion is investigated. It is assumed that the inclusion crosses the external boundary of the elastic body. A connection between the inclusion and the elastic body is characterized by the damage parameter. We study a dependence of the solutions on the damage parameter. In particular, passages to infinity and to zero of the damage parameter are investigated. Limit models are analyzed. Assuming that the damage and rigidity parameters of the model are unknown, inverse problems are formulated. Sufficient conditions for the inverse problems to have solutions are found. Estimates concerning solutions of the inverse problem are established.",
keywords = "crack, damage parameter, Inverse problem, nonlinear boundary conditions, thin inclusion, variational inequality, TIMOSHENKO, CRACK, SHAPE SENSITIVITY-ANALYSIS, FRACTURE, BODIES, BOUNDARY, PARAMETER-IDENTIFICATION, PLATE",
author = "Khludnev, {Alexander M.}",
year = "2019",
month = jan,
day = "1",
doi = "10.1515/jiip-2019-0075",
language = "English",
volume = "28",
pages = "195--209",
journal = "Journal of Inverse and Ill-Posed Problems",
issn = "0928-0219",
publisher = "Walter de Gruyter GmbH",
number = "2",

}

RIS

TY - JOUR

T1 - Inverse problem for elastic body with thin elastic inclusion

AU - Khludnev, Alexander M.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - An inverse problem for an elastic body with a thin elastic inclusion is investigated. It is assumed that the inclusion crosses the external boundary of the elastic body. A connection between the inclusion and the elastic body is characterized by the damage parameter. We study a dependence of the solutions on the damage parameter. In particular, passages to infinity and to zero of the damage parameter are investigated. Limit models are analyzed. Assuming that the damage and rigidity parameters of the model are unknown, inverse problems are formulated. Sufficient conditions for the inverse problems to have solutions are found. Estimates concerning solutions of the inverse problem are established.

AB - An inverse problem for an elastic body with a thin elastic inclusion is investigated. It is assumed that the inclusion crosses the external boundary of the elastic body. A connection between the inclusion and the elastic body is characterized by the damage parameter. We study a dependence of the solutions on the damage parameter. In particular, passages to infinity and to zero of the damage parameter are investigated. Limit models are analyzed. Assuming that the damage and rigidity parameters of the model are unknown, inverse problems are formulated. Sufficient conditions for the inverse problems to have solutions are found. Estimates concerning solutions of the inverse problem are established.

KW - crack

KW - damage parameter

KW - Inverse problem

KW - nonlinear boundary conditions

KW - thin inclusion

KW - variational inequality

KW - TIMOSHENKO

KW - CRACK

KW - SHAPE SENSITIVITY-ANALYSIS

KW - FRACTURE

KW - BODIES

KW - BOUNDARY

KW - PARAMETER-IDENTIFICATION

KW - PLATE

UR - http://www.scopus.com/inward/record.url?scp=85075719943&partnerID=8YFLogxK

U2 - 10.1515/jiip-2019-0075

DO - 10.1515/jiip-2019-0075

M3 - Article

AN - SCOPUS:85075719943

VL - 28

SP - 195

EP - 209

JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

SN - 0928-0219

IS - 2

ER -

ID: 22500582