Abstract
An optimal control problem is studied for the elliptic system of equations describing the equilibrium of the Kirchhoff-Love plate with an delaminated thin rigid inclusion. It is required to minimize the mean-square integral deviation of the bending moment from a function defined on the exterior boundary. The shape of the inclusion is chosen as the control function. The solvability of this problem is established.
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Original Russian Text © V.V. Shcherbakov, 2013, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2013, Vol. XVI, No. 4, pp. 142–151.
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Shcherbakov, V.V. Existence of an optimal shape of the thin rigid inclusions in the Kirchhoff-Love plate. J. Appl. Ind. Math. 8, 97–105 (2014). https://doi.org/10.1134/S1990478914010116
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DOI: https://doi.org/10.1134/S1990478914010116