Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control Full article
| Journal |
Computers and Mathematics with Applications
ISSN: 0898-1221 |
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| Output data | Year: 2019, Volume: 77, Number: 1, Pages: 253-262 Pages count : 10 DOI: 10.1016/j.camwa.2018.09.030 | ||||||
| Tags | Semirigid inclusion, Non-penetration, CrackVariational inequality, Junction conditions, Optimal control problem | ||||||
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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.
Cite:
Khludnev A.M.
, Popova T.
Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control
Computers and Mathematics with Applications. 2019. V.77. N1. P.253-262. DOI: 10.1016/j.camwa.2018.09.030 WOS Scopus РИНЦ OpenAlex
Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control
Computers and Mathematics with Applications. 2019. V.77. N1. P.253-262. DOI: 10.1016/j.camwa.2018.09.030 WOS Scopus РИНЦ OpenAlex
Dates:
| Published online: | Oct 8, 2018 |
| Published print: | Jan 1, 2019 |
Identifiers:
| Web of science: | WOS:000456762400018 |
| Scopus: | 2-s2.0-85054428870 |
| Elibrary: | 38613765 |
| OpenAlex: | W2896483177 |