Optimal location of a finite set of rigid inclusions in contact problems for inhomogeneous two-dimensional bodies Full article
| Journal |
Journal of Computational and Applied Mathematics
ISSN: 0377-0427 |
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| Output data | Year: 2022, Volume: 403, Article number : 113710, Pages count : DOI: 10.1016/j.cam.2021.113710 | ||||
| Tags | Location; Non-linear boundary conditions; Optimal control problem; Rigid inclusion; Variational inequality | ||||
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Abstract:
The 2D-model of an elastic body with a finite set of rigid inclusions is considered. We assume that the body can come in frictionless contact on a part of its boundary with a rigid obstacle. On the remaining part of the body's boundary a homogeneous Dirichlet boundary condition is imposed. For a family of corresponding variational problems, we analyze the dependence of their solutions on locations of the rigid inclusions. Continuous dependency of the solutions on location parameters is established. The existence of a solution of the optimal control problem is proven. For this problem, a cost functional is defined by an arbitrary continuous functional on the solution space, while the control is given by location parameters of the rigid inclusions.
Cite:
Lazarev N.
, Rudoy E.
Optimal location of a finite set of rigid inclusions in contact problems for inhomogeneous two-dimensional bodies
Journal of Computational and Applied Mathematics. 2022. V.403. 113710 . DOI: 10.1016/j.cam.2021.113710 WOS Scopus РИНЦ OpenAlex
Optimal location of a finite set of rigid inclusions in contact problems for inhomogeneous two-dimensional bodies
Journal of Computational and Applied Mathematics. 2022. V.403. 113710 . DOI: 10.1016/j.cam.2021.113710 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Oct 11, 2020 |
Identifiers:
| Web of science: | WOS:000710203600004 |
| Scopus: | 2-s2.0-85116246122 |
| Elibrary: | 47509104 |
| OpenAlex: | W3200054975 |