ON CRACK PROPAGATIONS IN ELASTIC BODIES WITH THIN INCLUSIONS Full article
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Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304 |
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| Output data | Year: 2017, Volume: 14, Pages: 586-599 Pages count : 14 DOI: 10.17377/semi.2017.14.050 | ||||
| Tags | THIN ELASTIC INCLUSION, TIMOSHENKO BEAM, SEMIRIGID INCLUSION, CRACK, DELAMINATION, NON-PENETRATION BOUNDARY CONDITION, OPTIMAL CONTROL | ||||
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Abstract:
The paper concerns an analysis of a crack propagation phenomena for an elastic body with thin inclusions and cracks. In the frame of free boundary approach, we investigate a dependence of the solutions on a rigidity parameter of the inclusion. A passage to the limit is justified as the parameter goes to infinity. Derivatives of the energy functionals are found with respect to the crack length for the models considered with different rigidity parameters. The Griffith criterion is used to describe a crack propagation. In so doing, an optimal control problem is investigated with a rigidity parameter being a control function. A cost functional coincides with a derivative of the energy functional with respect to the crack length. A solution existence is proved.
Cite:
Khludnev A.M.
, Popova T.S.
ON CRACK PROPAGATIONS IN ELASTIC BODIES WITH THIN INCLUSIONS
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2017. V.14. P.586-599. DOI: 10.17377/semi.2017.14.050 WOS Scopus РИНЦ OpenAlex
ON CRACK PROPAGATIONS IN ELASTIC BODIES WITH THIN INCLUSIONS
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2017. V.14. P.586-599. DOI: 10.17377/semi.2017.14.050 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Apr 10, 2017 |
| Accepted: | Jul 5, 2017 |
Identifiers:
| Web of science: | WOS:000407792200050 |
| Scopus: | 2-s2.0-85042740604 |
| Elibrary: | 54806766 |
| OpenAlex: | W2953239679 |