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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2012 Volume 15, Number 2, Pages 33–42 (Mi sjim723)

This article is cited in 4 papers

Inverse optimal control problems in creep theory

K. S. Bormotin

Komsomolsk-on-Amur State Technical University, Komsomolsk-on-Amur, Russia

Abstract: We formulate inverse problems of the theory of quasi-static creep in the form of a variational principle and optimal control with constraints on the displacements and stresses and give necessary optimality conditions. In solving specific examples, we find a continuous function of optimal load that depends on two parameters. We construct and numerically implement the method for determining the parameters from given conditions of the problem.

Keywords: inverse creep problem, damagedness, variational principles, multiobjective optimization problem, optimal control.

UDC: 539.376+517.97

Received: 02.08.2011


 English version:
Journal of Applied and Industrial Mathematics, 2012, 6:4, 421–430

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© Steklov Math. Inst. of RAS, 2026