First-order and second-order sensitivity analyses for a body with a thin rigid inclusion Full article
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Mathematical Methods in the Applied Sciences
ISSN: 0170-4214 |
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| Output data | Year: 2016, Volume: 39, Number: 17, Pages: 4994-5006 Pages count : 13 DOI: 10.1002/mma.3332 | ||||
| Tags | material derivative; shape optimization problem; shape sensitivity analysis; thin rigid inclusion | ||||
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Abstract:
The paper deals with the two-dimensional problem of the elastic equilibrium of a body containing a thin rigid inclusion. The rigid inclusion is considered to be soldered into elastic medium. The volume forces act on the body; at the external boundary the body is fixed. The first and second variations of the solution with respect to the shape of the domain are calculated. As an illustrative application of the results, the optimal shape design problem is considered. The necessary and sufficient conditions for local optimality are written. Copyright © 2014 John Wiley & Sons, Ltd. Copyright © 2014 John Wiley & Sons, Ltd.
Cite:
Rudoy E.M.
First-order and second-order sensitivity analyses for a body with a thin rigid inclusion
Mathematical Methods in the Applied Sciences. 2016. V.39. N17. P.4994-5006. DOI: 10.1002/mma.3332 WOS Scopus РИНЦ OpenAlex
First-order and second-order sensitivity analyses for a body with a thin rigid inclusion
Mathematical Methods in the Applied Sciences. 2016. V.39. N17. P.4994-5006. DOI: 10.1002/mma.3332 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000388309100006 |
| Scopus: | 2-s2.0-84995582926 |
| Elibrary: | 27584338 |
| OpenAlex: | W1977119911 |