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Rigidity Parameter Identification for Thin Inclusions Located Inside Elastic Bodies. / Khludnev, Alexander.

In: Journal of Optimization Theory and Applications, Vol. 172, No. 1, 01.01.2017, p. 281-297.

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

Harvard

Khludnev, A 2017, 'Rigidity Parameter Identification for Thin Inclusions Located Inside Elastic Bodies', Journal of Optimization Theory and Applications, vol. 172, no. 1, pp. 281-297. https://doi.org/10.1007/s10957-016-1025-8

APA

Khludnev, A. (2017). Rigidity Parameter Identification for Thin Inclusions Located Inside Elastic Bodies. Journal of Optimization Theory and Applications, 172(1), 281-297. https://doi.org/10.1007/s10957-016-1025-8

Vancouver

Khludnev A. Rigidity Parameter Identification for Thin Inclusions Located Inside Elastic Bodies. Journal of Optimization Theory and Applications. 2017 Jan 1;172(1):281-297. doi: 10.1007/s10957-016-1025-8

Author

Khludnev, Alexander. / Rigidity Parameter Identification for Thin Inclusions Located Inside Elastic Bodies. In: Journal of Optimization Theory and Applications. 2017 ; Vol. 172, No. 1. pp. 281-297.

BibTeX

@article{757fab68280f4e1790fefe36c8b993ed,
title = "Rigidity Parameter Identification for Thin Inclusions Located Inside Elastic Bodies",
abstract = "The paper is concerned with an identification of a rigidity parameter for thin inclusions located inside elastic bodies. It is assumed that inclusions cross an external boundary of the elastic body. In addition to this, a delamination of the inclusions is assumed thus providing a crack between inclusions and the elastic body. To exclude a mutual penetration between crack faces, inequality-type boundary conditions are imposed. We consider elastic inclusions as well as rigid and rigid-elastic inclusions. To find a solution of the problem formulated, we solve an optimal control problem. A cost functional characterizes a displacement of the external part of the inclusion, and a rigidity parameter serves as a control function. We prove a solution existence of the problems formulated.",
keywords = "Crack, Elastic body, Non-penetration condition, Optimal control, Rigid inclusion, Thin inclusion",
author = "Alexander Khludnev",
note = "Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media New York.",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/s10957-016-1025-8",
language = "English",
volume = "172",
pages = "281--297",
journal = "Journal of Optimization Theory and Applications",
issn = "0022-3239",
publisher = "Springer New York",
number = "1",

}

RIS

TY - JOUR

T1 - Rigidity Parameter Identification for Thin Inclusions Located Inside Elastic Bodies

AU - Khludnev, Alexander

N1 - Publisher Copyright: © 2016, Springer Science+Business Media New York.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The paper is concerned with an identification of a rigidity parameter for thin inclusions located inside elastic bodies. It is assumed that inclusions cross an external boundary of the elastic body. In addition to this, a delamination of the inclusions is assumed thus providing a crack between inclusions and the elastic body. To exclude a mutual penetration between crack faces, inequality-type boundary conditions are imposed. We consider elastic inclusions as well as rigid and rigid-elastic inclusions. To find a solution of the problem formulated, we solve an optimal control problem. A cost functional characterizes a displacement of the external part of the inclusion, and a rigidity parameter serves as a control function. We prove a solution existence of the problems formulated.

AB - The paper is concerned with an identification of a rigidity parameter for thin inclusions located inside elastic bodies. It is assumed that inclusions cross an external boundary of the elastic body. In addition to this, a delamination of the inclusions is assumed thus providing a crack between inclusions and the elastic body. To exclude a mutual penetration between crack faces, inequality-type boundary conditions are imposed. We consider elastic inclusions as well as rigid and rigid-elastic inclusions. To find a solution of the problem formulated, we solve an optimal control problem. A cost functional characterizes a displacement of the external part of the inclusion, and a rigidity parameter serves as a control function. We prove a solution existence of the problems formulated.

KW - Crack

KW - Elastic body

KW - Non-penetration condition

KW - Optimal control

KW - Rigid inclusion

KW - Thin inclusion

UR - http://www.scopus.com/inward/record.url?scp=84992317217&partnerID=8YFLogxK

U2 - 10.1007/s10957-016-1025-8

DO - 10.1007/s10957-016-1025-8

M3 - Article

AN - SCOPUS:84992317217

VL - 172

SP - 281

EP - 297

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

SN - 0022-3239

IS - 1

ER -

ID: 9053346