Existence of an optimal shape of the thin rigid inclusions in the Kirchhoff-Love plate

DOI10.1134/S1990478914010116zbMath1340.74087OpenAlexW1997006392MaRDI QIDQ5502026

Viktor Shcherbakov

Publication date: 14 August 2015

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478914010116

zbMATH Keywords

optimal controlnonlinear boundary conditionscrackKirchhoff-Love platethin rigid inclusion

Mathematics Subject Classification ID

Variational inequalities (49J40) Brittle fracture (74R10)

Related Items (11)

Optimal control of rigidity parameters of thin inclusions in composite materials ⋮ Existence of an optimal size of a delaminated rigid inclusion embedded in the Kirchhoff-Love plate ⋮ Shape optimization of rigid inclusions for elastic plates with cracks ⋮ Optimal control of the layer size in the problem of equilibrium of elastic bodies with overlapping domains ⋮ A contact problem for an elastic plate with a thin rigid inclusion ⋮ Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate with a crack on the boundary of an elastic inclusion ⋮ Rigidity parameter identification for thin inclusions located inside elastic bodies ⋮ Equilibrium of an elastic body with closely spaced thin inclusions ⋮ Existence of an optimal size of a rigid inclusion for an equilibrium problem of a Timoshenko plate with Signorini-type boundary condition ⋮ Asymptotics of anisotropic weakly curved inclusions in an elastic body ⋮ Fictitious domain method for an equilibrium problem of the Timoshenko-type plate with a crack crossing the external boundary at zero angle

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