The existence of an optimal solution in problems of determining the shape of an elastic line

DOI10.1016/0021-8928(85)90134-0zbMath0598.73093OpenAlexW2028757221MaRDI QIDQ1080284

L. V. Petukhov, E. A. Nikolaeva

Publication date: 1985

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(85)90134-0

zbMATH Keywords

optimal solutionfive sets of different boundary conditionsgeneralized optimal controlmeasurable optimal controlstrain energy minimization of maximization

Mathematics Subject Classification ID

Optimization problems in solid mechanics (74P99) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (1)

Vibration analysis of non-linear 6-parameter prestressed shells

Cites Work

• Theory of small deformations of prestressed thin shells
• Variational principles of the nonlinear theory of elasticity. Case of superposition of a small deformation on a finite deformation
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