This article is cited in 2 papers

Mathematical modeling of inverse problems of forming taking into account the incomplete reversibility creep strain

K. S. Bormotin^ab, N. A. Taranukha<sup>a

a</sup> Komsomolsk-on-Amur State Technical University, Komsomolsk-on-Amur, 681013, Russia
^b Institute of Engineering and Metallurgy, Far East Branch, Russian Academy of Sciences, Komsomolsk-on-Amur, 681005, Russia

Abstract: Functionals of direct and inverse problems of forming structural elementsare constructed taking into account the theory of incomplete reversibility of deformations. Formulations of these problems are given, and the uniqueness of their solutions is proved. An iterative method for solving inverse problems of forming structural elementsis proposed. Numerical solutions of these problems are obtained using a finite element method.

Keywords: inverse problems of forming, variational inequalities, uniqueness, theory of incomplete reversibility of creep strain, convergence, finite-element method, iterative method.

UDC: 517.97, 539.376

Received: 18.08.2016
Revised: 15.11.2016

DOI: 10.15372/PMTF20180117

 English version: Journal of Applied Mechanics and Technical Physics, 2018, 59:1, 138–145

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