Standard

Semirigid inclusions in elastic bodies : Mechanical interplay and optimal control. / Khludnev, Alexander; Popova, Tatiana.

In: Computers and Mathematics with Applications, Vol. 77, No. 1, 01.01.2019, p. 253-262.

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

Harvard

Khludnev, A & Popova, T 2019, 'Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control', Computers and Mathematics with Applications, vol. 77, no. 1, pp. 253-262. https://doi.org/10.1016/j.camwa.2018.09.030

APA

Khludnev, A., & Popova, T. (2019). Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control. Computers and Mathematics with Applications, 77(1), 253-262. https://doi.org/10.1016/j.camwa.2018.09.030

Vancouver

Khludnev A, Popova T. Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control. Computers and Mathematics with Applications. 2019 Jan 1;77(1):253-262. doi: 10.1016/j.camwa.2018.09.030

Author

Khludnev, Alexander ; Popova, Tatiana. / Semirigid inclusions in elastic bodies : Mechanical interplay and optimal control. In: Computers and Mathematics with Applications. 2019 ; Vol. 77, No. 1. pp. 253-262.

BibTeX

@article{4807a831ef2d4014befcdf52581d2d0e,
title = "Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control",
abstract = "The paper concerns an analysis of an equilibrium problem for 2D elastic body with two semirigid inclusions. It is assumed that inclusions have a joint point, and we investigate a junction problem for these inclusions. The existence of solutions is proved, and different equivalent formulations of the problem are proposed. We investigate a convergence to infinity of a rigidity parameter of the semirigid inclusion. It is proved that in the limit, we obtain an equilibrium problem for the elastic body with a rigid inclusion and a semirigid one. A parameter identification problem is investigated. In particular, the existence of a solution to a suitable optimal control problem is proved.",
keywords = "Crack, Junction conditions, Non-penetration, Optimal control problem, Semirigid inclusion, Variational inequality, SHAPE, THIN RIGID INCLUSIONS, JUNCTION, CRACKS",
author = "Alexander Khludnev and Tatiana Popova",
year = "2019",
month = jan,
day = "1",
doi = "10.1016/j.camwa.2018.09.030",
language = "English",
volume = "77",
pages = "253--262",
journal = "Computers and Mathematics with Applications",
issn = "0898-1221",
publisher = "Elsevier Ltd",
number = "1",

}

RIS

TY - JOUR

T1 - Semirigid inclusions in elastic bodies

T2 - Mechanical interplay and optimal control

AU - Khludnev, Alexander

AU - Popova, Tatiana

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The paper concerns an analysis of an equilibrium problem for 2D elastic body with two semirigid inclusions. It is assumed that inclusions have a joint point, and we investigate a junction problem for these inclusions. The existence of solutions is proved, and different equivalent formulations of the problem are proposed. We investigate a convergence to infinity of a rigidity parameter of the semirigid inclusion. It is proved that in the limit, we obtain an equilibrium problem for the elastic body with a rigid inclusion and a semirigid one. A parameter identification problem is investigated. In particular, the existence of a solution to a suitable optimal control problem is proved.

AB - The paper concerns an analysis of an equilibrium problem for 2D elastic body with two semirigid inclusions. It is assumed that inclusions have a joint point, and we investigate a junction problem for these inclusions. The existence of solutions is proved, and different equivalent formulations of the problem are proposed. We investigate a convergence to infinity of a rigidity parameter of the semirigid inclusion. It is proved that in the limit, we obtain an equilibrium problem for the elastic body with a rigid inclusion and a semirigid one. A parameter identification problem is investigated. In particular, the existence of a solution to a suitable optimal control problem is proved.

KW - Crack

KW - Junction conditions

KW - Non-penetration

KW - Optimal control problem

KW - Semirigid inclusion

KW - Variational inequality

KW - SHAPE

KW - THIN RIGID INCLUSIONS

KW - JUNCTION

KW - CRACKS

UR - http://www.scopus.com/inward/record.url?scp=85054428870&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2018.09.030

DO - 10.1016/j.camwa.2018.09.030

M3 - Article

AN - SCOPUS:85054428870

VL - 77

SP - 253

EP - 262

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 1

ER -

ID: 17035482