Energy derivative for a construction consisting of a Timoshenko plate and a thin beam

DOI10.25587/svfu.2021.28.91.005OpenAlexW4324121431MaRDI QIDQ6117336

Alekseĭ Igor'evich Furtsev

Publication date: 20 March 2024

Published in: Журнал «Математические заметки СВФУ» (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.25587/svfu.2021.28.91.005

zbMATH Keywords

beamunilateral constraintsvariational inequalityminimization problemcontact problemenergy release rateTimoshenko plateshape sensitivity analysisnon-penetration conditionthin obstacleenergy functional derivative

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Partial differential equations (35-XX)

Cites Work

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• 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
• Two dimensional variational problems with thin obstacles
• Regularity of the solutions of variational inequalities
• Mathematical and numerical simulation of equilibrium of an elastic body reinforced by a thin elastic inclusion
• Differentiation of energy functional with respect to delamination's length in problem of contact between plate and beam
• New monotonicity formulas and the optimal regularity in the Signorini problem with variable coefficients
• Optimal control of parameters for elastic body with thin inclusions
• The unilateral contact problem for a Timoshenko plate and a thin elastic obstacle
• On the coincidence set in variational inequalities
• Optimal regularity of lower dimensional obstacle problems
• An estimate of the derivatives of the solutions of variational inequalities on the boundary of the domain
• Crack on the boundary of a thin elastic inclusion inside an elastic body
• Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition
• On delaminated thin Timoshenko inclusions inside elastic bodies
• Regularity of solutions of variational inequalities
• The structure of the free boundary for lower dimensional obstacle problems
• Further regularity for the signorini problem
• A Contact Problem for a Plate and a Beam in Presence of Adhesion
• ON JUNCTION PROBLEM FOR ELASTIC TIMOSHENKO INCLUSION AND SEMI–RIGID INCLUSION
• Singular path-independent energy integrals for elastic bodies with Euler–Bernoulli inclusions