Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body Full article
| Journal |
Zeitschrift fur Angewandte Mathematik und Physik
ISSN: 0044-2275 |
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| Output data | Year: 2015, Volume: 66, Number: 4, Pages: 1923-1937 Pages count : 15 DOI: 10.1007/s00033-014-0471-0 | ||||
| Tags | Crack; Invariant integrals; Nonpenetration condition; Shape derivative; Thin rigid inclusion; Variational inequality | ||||
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Abstract:
The equilibrium problem of the elastic body with a delaminated thin rigid inclusion is considered. In this case, there is a crack between the rigid inclusion and the elastic body. We suppose that the nonpenetration conditions are prescribed on the crack faces. We study the dependence of the energy of the body on domain variations. The formula for the shape derivative of the energy functional is obtained. Moreover, it is shown that for the special cases of the domain perturbations such derivative can be represented as invariant integrals. © 2014, Springer Basel.
Cite:
Rudoy E.M.
Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body
Zeitschrift fur Angewandte Mathematik und Physik. 2015. V.66. N4. P.1923-1937. DOI: 10.1007/s00033-014-0471-0 WOS Scopus РИНЦ OpenAlex
Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body
Zeitschrift fur Angewandte Mathematik und Physik. 2015. V.66. N4. P.1923-1937. DOI: 10.1007/s00033-014-0471-0 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000359383000037 |
| Scopus: | 2-s2.0-84938969173 |
| Elibrary: | 24049264 |
| OpenAlex: | W1981953985 |