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Parameter identification problems for thin inclusions in elastic bodies. / Khludnev, A. M.; Popova, T. S.

In: Journal of Physics: Conference Series, Vol. 894, No. 1, 012101, 22.10.2017.

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

Harvard

Khludnev, AM & Popova, TS 2017, 'Parameter identification problems for thin inclusions in elastic bodies', Journal of Physics: Conference Series, vol. 894, no. 1, 012101. https://doi.org/10.1088/1742-6596/894/1/012101

APA

Khludnev, A. M., & Popova, T. S. (2017). Parameter identification problems for thin inclusions in elastic bodies. Journal of Physics: Conference Series, 894(1), [012101]. https://doi.org/10.1088/1742-6596/894/1/012101

Vancouver

Khludnev AM, Popova TS. Parameter identification problems for thin inclusions in elastic bodies. Journal of Physics: Conference Series. 2017 Oct 22;894(1):012101. doi: 10.1088/1742-6596/894/1/012101

Author

Khludnev, A. M. ; Popova, T. S. / Parameter identification problems for thin inclusions in elastic bodies. In: Journal of Physics: Conference Series. 2017 ; Vol. 894, No. 1.

BibTeX

@article{ece994ff514b41649682694a0ee66c4e,
title = "Parameter identification problems for thin inclusions in elastic bodies",
abstract = "The paper concerns an identification of rigidity parameters for thin inclusions located inside elastic bodies. A delamination of the inclusions is assumed thus providing a crack between inclusions and the elastic matrix. Inequality type boundary conditions are imposed at the crack faces to exclude a mutual penetration. We consider elastic as well as rigid inclusions and solve an optimal control problem for finding a rigidity parameter minimizing a suitable cost functional. The cost functional characterizes a displacement of the inclusion, and a rigidity parameter serves as a control function. We prove a solution existence of the problems formulated.",
keywords = "JUNCTION PROBLEM, BOUNDARY, BODY",
author = "Khludnev, {A. M.} and Popova, {T. S.}",
year = "2017",
month = oct,
day = "22",
doi = "10.1088/1742-6596/894/1/012101",
language = "English",
volume = "894",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - Parameter identification problems for thin inclusions in elastic bodies

AU - Khludnev, A. M.

AU - Popova, T. S.

PY - 2017/10/22

Y1 - 2017/10/22

N2 - The paper concerns an identification of rigidity parameters for thin inclusions located inside elastic bodies. A delamination of the inclusions is assumed thus providing a crack between inclusions and the elastic matrix. Inequality type boundary conditions are imposed at the crack faces to exclude a mutual penetration. We consider elastic as well as rigid inclusions and solve an optimal control problem for finding a rigidity parameter minimizing a suitable cost functional. The cost functional characterizes a displacement of the inclusion, and a rigidity parameter serves as a control function. We prove a solution existence of the problems formulated.

AB - The paper concerns an identification of rigidity parameters for thin inclusions located inside elastic bodies. A delamination of the inclusions is assumed thus providing a crack between inclusions and the elastic matrix. Inequality type boundary conditions are imposed at the crack faces to exclude a mutual penetration. We consider elastic as well as rigid inclusions and solve an optimal control problem for finding a rigidity parameter minimizing a suitable cost functional. The cost functional characterizes a displacement of the inclusion, and a rigidity parameter serves as a control function. We prove a solution existence of the problems formulated.

KW - JUNCTION PROBLEM

KW - BOUNDARY

KW - BODY

UR - http://www.scopus.com/inward/record.url?scp=85033223357&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/894/1/012101

DO - 10.1088/1742-6596/894/1/012101

M3 - Article

AN - SCOPUS:85033223357

VL - 894

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012101

ER -

ID: 9720874