descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1977 English Publisher:Elsevier BVJournal:International Journal of Solids and Structures, volume 13, pages 725-733 (issn: 0020-7683,

Authors: Bhushan Lal Karihaloo; Nikolay Banichuk;

doi: 10.1016/0020-7683(77)90109-3

On the solution of optimization problems with singularities

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Abstract

Abstract We derive a complete set of necessary optimality conditions for a class of variational problems whose extremal solutions are associated with singularities. The use of these conditions is illustrated by two examples involving the optimization of the shapes of elastic bodies with stiffness and stability constraints.

Related Organizations

University of Newcastle Australia
Australia
Institute for Problems in Mechanics
Russian Federation
Department of Energy, Engineering, Mechanics and Control Processes
Russian Federation
Russian Academy of Sciences
Russian Federation

Keywords

Necessary Conditions, Optimization Problems, Singularities, Optimality conditions for problems involving ordinary differential equations

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