DIFFERENTIATION OF THE ENERGY FUNCTIONALS FOR EQUILIBRIUM PROBLEMS OF THE KIRCHHOFF–LOVE PLATES WITH NONPENETRATION CONDITIONS FOR KNOWN CONFIGURATIONS OF PLATE EDGES

DOI10.25587/svfu.2019.18.67.005OpenAlexW3088266214MaRDI QIDQ6197098

Mark Petrovich Grigorev, Nyurgun Lazarev

Publication date: 16 March 2024

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

Full work available at URL: https://doi.org/10.25587/svfu.2019.18.67.005

zbMATH Keywords

variational inequalitycracknonpenetration conditionenergy functional derivative

Mathematics Subject Classification ID

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

Cites Work

• 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
• Thin rigid inclusions with delaminations in elastic plates
• Modelling and control in solid mechanics
• GeneralizedJ-integral and its applications I —Basic theory—
• On derivative of energy functional for elastic bodies with cracks and unilateral conditions
• Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions
• Optimal radius of a rigid cylindrical inclusion in nonhomogeneous plates with a crack
• A variational problem for an elastic body with periodically located cracks
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