Optimal size of a rigid thin stiffener reinforcing an elastic plate on the outer edge Full article
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ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
ISSN: 0044-2267 |
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| Output data | Year: 2017, Volume: 97, Number: 9, Pages: 1120-1127 Pages count : 8 DOI: 10.1002/zamm.201600291 | ||||
| Tags | 49J20; 49J40; 74G55; 74R10; crack; non-linear boundary conditions; nonpenetration; optimal control problem; Variational inequality | ||||
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Abstract:
The mathematical models describing equilibrium of cracked elastic plates with rigid thin stiffeners on the outer boundary are studied. On the crack faces the boundary conditions are specified in the form of inequalities which describe the mutual nonpenetration of the crack faces. We analyze the dependence of solutions on the length of the thin rigid stiffener reinforcing the cracked Kirchhoff-Love plate on the outer edge. The existence is proved of the solution to the optimal control problem. For this problem the cost functional is defined by an arbitrary continuous functional, while the length parameter of the thin rigid stiffener is chosen as a control function. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Cite:
Lazarev N.P.
, Rudoy E.M.
Optimal size of a rigid thin stiffener reinforcing an elastic plate on the outer edge
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2017. V.97. N9. P.1120-1127. DOI: 10.1002/zamm.201600291 WOS Scopus РИНЦ OpenAlex
Optimal size of a rigid thin stiffener reinforcing an elastic plate on the outer edge
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2017. V.97. N9. P.1120-1127. DOI: 10.1002/zamm.201600291 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000407481300010 |
| Scopus: | 2-s2.0-85018797118 |
| Elibrary: | 31025866 |
| OpenAlex: | W2607293902 |