Inverse problem for elastic body with thin elastic inclusion Full article
| Journal |
Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219 |
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| Output data | Year: 2020, Volume: 28, Number: 2, Pages: 195-209 Pages count : 15 DOI: 10.1515/jiip-2019-0075 | ||||
| Tags | Inverse problem; variational inequality; thin inclusion; damage parameter; nonlinear boundary conditions; crack | ||||
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Abstract:
An inverse problem for an elastic body with a thin elastic inclusion is investigated. It is assumed that the inclusion crosses the external boundary of the elastic body. A connection between the inclusion and the elastic body is characterized by the damage parameter. We study a dependence of the solutions on the damage parameter. In particular, passages to infinity and to zero of the damage parameter are investigated. Limit models are analyzed. Assuming that the damage and rigidity parameters of the model are unknown, inverse problems are formulated. Sufficient conditions for the inverse problems to have solutions are found. Estimates concerning solutions of the inverse problem are established.
Cite:
Khludnev A.M.
Inverse problem for elastic body with thin elastic inclusion
Journal of Inverse and Ill-Posed Problems. 2020. V.28. N2. P.195-209. DOI: 10.1515/jiip-2019-0075 WOS Scopus РИНЦ OpenAlex
Inverse problem for elastic body with thin elastic inclusion
Journal of Inverse and Ill-Posed Problems. 2020. V.28. N2. P.195-209. DOI: 10.1515/jiip-2019-0075 WOS Scopus РИНЦ OpenAlex
Dates:
| Published print: | Apr 1, 2020 |
Identifiers:
| Web of science: | WOS:000544306100004 |
| Scopus: | 2-s2.0-85075719943 |
| Elibrary: | 43209735 |
| OpenAlex: | W2989591248 |