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Numerical methods and programming, 2017, Volume 18, Issue 4, Pages 359–370 (Mi vmp885)  

A method for solving inverse problems of inelastic deformation of thin-walled panels

K. S. Bormotin

Komsomolsk-on-Amur State Technical University
Abstract: A mathematical model for inverse problems of forming thin-walled panels is described. The model takes into account the plastic and creep deformations and allows one to describe various technological processes. An iterative method for solving inverse problems of forming is proposed. Its convergence is proved under the conditions dependent on the parameters of processes. The numerical solutions of inverse problems obtained by the finite element method are in good agreement with the conditions of convergence.
Keywords: inverse forming problems, plasticity, creep, elasticity, variational inequalities, sufficient uniqueness conditions, iterative methods, finite element method.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60038
Received: 18.08.2017
Document Type: Article
UDC: 517.97; 539.376; 539.214; 539.3
Language: Russian
Citation: K. S. Bormotin, “A method for solving inverse problems of inelastic deformation of thin-walled panels”, Num. Meth. Prog., 18:4 (2017), 359–370
Citation in format AMSBIB
\Bibitem{Bor17}
\by K.~S.~Bormotin
\paper A method for solving inverse problems of inelastic deformation of thin-walled panels
\jour Num. Meth. Prog.
\yr 2017
\vol 18
\issue 4
\pages 359--370
\mathnet{http://mi.mathnet.ru/vmp885}
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  • https://www.mathnet.ru/eng/vmp/v18/i4/p359
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