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Mathematical Modeling of Inverse Problems of Forming Taking into Account the Incomplete Reversibility of Creep Strain

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Abstract

Functionals of direct and inverse problems of forming structural components are 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 components is proposed. Numerical solutions of these problems are obtained using a finite-element method.

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Authors and Affiliations

  1. Komsomolsk-on-Amur State Technical University, Komsomolsk-on-Amur, 681013, Russia

    K. S. Bormotin & N. A. Taranukha

  2. Institute of Engineering and Metallurgy, Far East Branch, Russian Academy of Sciences, Komsomolsk-on-Amur, 681005, Russia

    K. S. Bormotin

Authors
  1. K. S. Bormotin
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  2. N. A. Taranukha
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Correspondence to K. S. Bormotin.

Additional information

Original Russian Text © K.S. Bormotin, N.A. Taranukha.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 59, No. 1, pp. 161–170, January–February, 2018.

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Bormotin, K.S., Taranukha, N.A. Mathematical Modeling of Inverse Problems of Forming Taking into Account the Incomplete Reversibility of Creep Strain. J Appl Mech Tech Phy 59, 138–145 (2018). https://doi.org/10.1134/S0021894418010170

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  • DOI: https://doi.org/10.1134/S0021894418010170

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