Equilibrium problem for elastic plate with thin rigid inclusion crossing an external boundary

DOI10.1007/s00033-021-01553-3zbMath1470.35351OpenAlexW3162102775MaRDI QIDQ2031393

Irina Fankina, Alexandr Mikhailovich Khludnev

Publication date: 9 June 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01553-3

zbMATH Keywords

inverse problemvariational inequalityfree boundary problemcrackelastic platethin rigid inclusion

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Brittle fracture (74R10) Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65) Inverse problems in equilibrium solid mechanics (74G75) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with mechanics of deformable solids (35Q74) Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators (35J88)

Related Items (7)

Optimal control of loads for an equilibrium problem describing a point contact of an elastic body with a sharp-shaped stiffener ⋮ An equilibrium problem for a Kirchhoff-Love plate, contacting an obstacle by top and bottom edges ⋮ Optimal control of the crack angle in the equilibrium problem for a Timoshenko plate with elastic inclusion ⋮ EQUILIBRIUM PROBLEM FOR A TIMOSHENKO PLATE CONTACTING BY THE SIDE AND FACE SURFACES ⋮ Elasticity tensor identification in elastic body with thin inclusions: non-coercive case ⋮ Noncoercive problems for elastic bodies with thin elastic inclusions ⋮ Three-dimensional Signorini-type problem for composite bodies contacting with sharp edges of rigid inclusions

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