Optimal control of the radius of a rigid circular inclusion in inhomogeneous two-dimensional bodies with cracks

DOI10.1007/s00033-018-0949-2zbMath1395.49004OpenAlexW2797016546WikidataQ129990293 ScholiaQ129990293MaRDI QIDQ721302

Tatiana Semenovna Popova, Graham A. Rogerson, Nyurgun Lazarev

Publication date: 19 July 2018

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

Full work available at URL: http://eprints.keele.ac.uk/4733/1/Zamp-L-P-R-2018-2.pdf

zbMATH Keywords

variational inequalityoptimal control problemnonlinear boundary conditionscrackrigid inclusionnon-penetration

Mathematics Subject Classification ID

Variational inequalities (49J40) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Qualitative behavior of solutions of equilibrium problems in solid mechanics (74G55)

Related Items (8)

Optimal control of the location of the hinge point of rigid inclusions in an equilibrium problemof a Timoshenko plate ⋮ Unnamed Item ⋮ Equilibrium problem for an thermoelastic Kirchhoff-Love plate with a nonpenetration condition for known configurations of crack edges ⋮ Equilibrium problems for Kirchhoff–Love plates with nonpenetration conditions for known configurations of crack edges ⋮ Equilibrium problem for elastic plate with thin rigid inclusion crossing an external boundary ⋮ Optimal location of a thin rigid inclusion for a problem describing equilibrium of a composite Timoshenko plate with a crack ⋮ Fictitious Domain Method for Equilibrium Problems of the Kirchhoff-Love Plates with Nonpenetration Conditions for Known Configurations of Plate Edges ⋮ Non-coercive problems for Kirchhoff-Love plates with thin rigid inclusion

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