On a variational problem with unknown boundaries and the determination of optimal shapes of elastic bodies

DOI10.1016/0021-8928(76)90092-7zbMath0336.49009OpenAlexW1663112850WikidataQ115441338 ScholiaQ115441338MaRDI QIDQ1230230

Nikolay Banichuk

Publication date: 1975

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(76)90092-7

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to mechanics of deformable solids (74-00) Variational principles of physics (49S05)

Related Items (7)

On the problem of reinforcement of the hole outline in a plate by a momentless elastic rod ⋮ Instability of optimal equilibria in the minimum mass design of uniform shallow arches ⋮ Determination of the shapes of doubly-connected bar sections of maximum torsional stiffness ⋮ Asymptotic models for optimizing the contour of multiply-connected cross-section of an elastic bar in torsion ⋮ Optimality conditions in the problem of seeking the hole shapes in elastic bodies ⋮ Structural shape optimization - A survey ⋮ Numerical study of a relaxed variational problem from optimal design

Cites Work

• Torsional rigidity, principal frequency, electrostatic capacity and symmetrization
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a variational problem with unknown boundaries and the determination of optimal shapes of elastic bodies