The unilateral contact problem for a Timoshenko plate and a thin elastic obstacle

DOI10.33048/semi.2020.17.023zbMath1435.35374OpenAlexW3018294477MaRDI QIDQ2306055

Alekseĭ Igor'evich Furtsev

Publication date: 20 March 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.023

zbMATH Keywords

beamoptimal controlvariational inequalityminimization problemequilibriumcontactTimoshenko platenon-penetration conditionthin obstaclerigidity parameter

Mathematics Subject Classification ID

Variational inequalities (49J40) Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Contact in solid mechanics (74M15) Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

An equilibrium problem for a Kirchhoff-Love plate, contacting an obstacle by top and bottom edges ⋮ Energy derivative for a construction consisting of a Timoshenko plate and a thin beam ⋮ EQUILIBRIUM PROBLEM FOR A TIMOSHENKO PLATE CONTACTING BY THE SIDE AND FACE SURFACES ⋮ Equilibrium problem for an thermoelastic Kirchhoff-Love plate with a nonpenetration condition for known configurations of crack edges

Cites Work

• The variable coefficient thin obstacle problem: Carleman inequalities
• Unilateral contact problem for two inclined elastic bodies
• Unilateral contact problems for two perpendicular elastic structures
• Optimal regularity for the Signorini problem
• Differentiation of energy functional with respect to delamination's length in problem of contact between plate and beam
• Unilateral contact problem for two plates with a rigid inclusion in the lower plate
• New monotonicity formulas and the optimal regularity in the Signorini problem with variable coefficients
• On the coincidence set in variational inequalities
• An estimate of the derivatives of the solutions of variational inequalities on the boundary of the domain
• Regularity of solutions of variational inequalities
• The structure of the free boundary for lower dimensional obstacle problems
• Further regularity for the signorini problem
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