Problems of controlling by the right-hand sides of elliptical systems and their application to control of the stress-strain state in shells

DOI10.1016/0021-8928(82)90147-2zbMath0535.73075OpenAlexW2089658840MaRDI QIDQ791356

Yu. I. Rubezhanskij, V. G. Litvinov

Publication date: 1983

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90147-2

zbMATH Keywords

approximationreflexive Banach spaceexistence theoremshell of revolutiontarget functioncontrolling elliptical systemscontrolling the stress-strain statefinite-dimensional problemfunction of maximumset of admissible controls is not convexstrength constraintsstresses or displacements are minimized

Mathematics Subject Classification ID

Shells (74K25) Variational methods for elliptic systems (35J50) Membranes (74K15) Optimization problems in solid mechanics (74P99) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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• Complementary methods in the problems of the state of stress in shells of revolution
• Some inverse problems for flexible plates
• Methods of duality theory in problems of optimal loading of thin plates
• Stability of shells of revolution and Ritz-Galerkin methods
• On the solvability op general problems for an elastic closed cylindrical shell in a nonlinear formulation

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