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Thin inclusion in elastic body : Identification of damage parameter. / Khludnev, Alexander.

In: Control and Cybernetics, Vol. 48, No. 1, 01.01.2019, p. 13-29.

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

Harvard

Khludnev, A 2019, 'Thin inclusion in elastic body: Identification of damage parameter', Control and Cybernetics, vol. 48, no. 1, pp. 13-29.

APA

Khludnev, A. (2019). Thin inclusion in elastic body: Identification of damage parameter. Control and Cybernetics, 48(1), 13-29.

Vancouver

Khludnev A. Thin inclusion in elastic body: Identification of damage parameter. Control and Cybernetics. 2019 Jan 1;48(1):13-29.

Author

Khludnev, Alexander. / Thin inclusion in elastic body : Identification of damage parameter. In: Control and Cybernetics. 2019 ; Vol. 48, No. 1. pp. 13-29.

BibTeX

@article{e0b522c610c3440792af3500f42d2ae5,
title = "Thin inclusion in elastic body: Identification of damage parameter",
abstract = "In the paper, we consider an equilibrium problem for a 2D elastic body with a thin elastic inclusion crossing an external boundary. The elastic body has a defect which is characterized by a positive damage parameter. The presence of a defect means that the problem is formulated in a non-smooth domain. Non-linear boundary conditions at the defect faces are imposed to prevent the mutual penetration between the faces. Both variational and differential problem formulations are proposed, and existence of solutions is established. We study an asymptotics of solutions with respect to the damage parameter as well as with respect to a rigidity parameter of the inclusion. Identification problems for finding the damage parameter are investigated. To this end, existence of solutions of optimal control problems is proven.",
keywords = "Damageparameter, Defect, Non-penetration boundary conditions, Optimal control, Thininclusion",
author = "Alexander Khludnev",
year = "2019",
month = jan,
day = "1",
language = "English",
volume = "48",
pages = "13--29",
journal = "Control and Cybernetics",
issn = "0324-8569",
publisher = "Sciendo",
number = "1",

}

RIS

TY - JOUR

T1 - Thin inclusion in elastic body

T2 - Identification of damage parameter

AU - Khludnev, Alexander

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In the paper, we consider an equilibrium problem for a 2D elastic body with a thin elastic inclusion crossing an external boundary. The elastic body has a defect which is characterized by a positive damage parameter. The presence of a defect means that the problem is formulated in a non-smooth domain. Non-linear boundary conditions at the defect faces are imposed to prevent the mutual penetration between the faces. Both variational and differential problem formulations are proposed, and existence of solutions is established. We study an asymptotics of solutions with respect to the damage parameter as well as with respect to a rigidity parameter of the inclusion. Identification problems for finding the damage parameter are investigated. To this end, existence of solutions of optimal control problems is proven.

AB - In the paper, we consider an equilibrium problem for a 2D elastic body with a thin elastic inclusion crossing an external boundary. The elastic body has a defect which is characterized by a positive damage parameter. The presence of a defect means that the problem is formulated in a non-smooth domain. Non-linear boundary conditions at the defect faces are imposed to prevent the mutual penetration between the faces. Both variational and differential problem formulations are proposed, and existence of solutions is established. We study an asymptotics of solutions with respect to the damage parameter as well as with respect to a rigidity parameter of the inclusion. Identification problems for finding the damage parameter are investigated. To this end, existence of solutions of optimal control problems is proven.

KW - Damageparameter

KW - Defect

KW - Non-penetration boundary conditions

KW - Optimal control

KW - Thininclusion

UR - http://www.scopus.com/inward/record.url?scp=85083096051&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85083096051

VL - 48

SP - 13

EP - 29

JO - Control and Cybernetics

JF - Control and Cybernetics

SN - 0324-8569

IS - 1

ER -

ID: 23996353