A Contact Problem for a Plate and a Beam in Presence of Adhesion

DOI10.1134/S1990478919020030zbMath1438.74108OpenAlexW2951995276MaRDI QIDQ4973175

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Publication date: 2 December 2019

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

Full work available at URL: https://doi.org/10.1134/s1990478919020030

zbMATH Keywords

beamoptimal controlvariational inequalityminimization problemcontactplatedefectnonpenetration conditionadhesionthin obstacle

Mathematics Subject Classification ID

Variational inequalities (49J40) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Brittle fracture (74R10) Plates (74K20)

Related Items (4)

Asymptotic justification of the models of thin inclusions in an elastic body in the antiplane shear problem ⋮ Optimal control of loads for an equilibrium problem describing a point contact of an elastic body with a sharp-shaped stiffener ⋮ Energy derivative for a construction consisting of a Timoshenko plate and a thin beam ⋮ Equilibrium problems for elastic plate with thin rigid inclusion and free edge

Cites Work

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• Differentiation of energy functional with respect to delamination's length in problem of contact between plate and beam
• On modeling elastic bodies with defects
• The two-obstacle problem for the biharmonic operator
• Unilateral contact problem for two plates with a rigid inclusion in the lower plate
• Optimal regularity of lower dimensional obstacle problems
• A rigid inclusion in the contact problem for elastic plates
• Further regularity for the signorini problem
• On modeling thin inclusions in elastic bodies with a damage parameter
• On Contact Between a Thin Obstacle and a Plate Containing a Thin Inclusion

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