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Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 935–949 (Mi semr967)  

Differentical equations, dynamical systems and optimal control

Differentiation of energy functional with respect to delamination's length in problem of contact between plate and beam

A. I. Furtsev

Lavrentyev Institute of Hydrodynamics of the Russian Academy of Sciences, pr. Lavrentyeva, 15, 630090, Novosibirsk, Russia

Abstract: The paper considers a model which describes a contact between an elastic plate and an elastic beam. In this model, there may be a delamination, i. e. the displacements of the plate and the beam may not coincide on a part of beam's midline. The purposes of the research are to prove the differentiability of the energy functional with respect to the delamination's length and to find the explicit formula for the corresponding derivative.

Keywords: contact problem, plate, beam, delamination, unilateral constraints, shape sensitivity analysis, energy release rate, energy functional derivative.

Funding Agency Grant Number
Russian Science Foundation 17Ц71Ц10171


DOI: https://doi.org/10.17377/semi.2018.15.080

Full text: PDF file (185 kB)
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Bibliographic databases:

Document Type: Article
UDC: 539.3,517.958
MSC: 35Q74,74G65,74M15
Received May 5, 2018, published August 22, 2018

Citation: A. I. Furtsev, “Differentiation of energy functional with respect to delamination's length in problem of contact between plate and beam”, Sib. Èlektron. Mat. Izv., 15 (2018), 935–949

Citation in format AMSBIB
\Bibitem{Fur18}
\by A.~I.~Furtsev
\paper Differentiation of energy functional with respect to delamination's length in problem of contact between plate and beam
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 935--949
\mathnet{http://mi.mathnet.ru/semr967}
\crossref{https://doi.org/10.17377/semi.2018.15.080}


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