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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2008, Issue 2(17), Pages 143–151
DOI: https://doi.org/10.14498/vsgtu634 (Mi vsgtu634) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mechanics of Solids

Stability by Lyapunov of solutions in endochronic plasticity theory without fluidity surface in flat tension conditions

V. P. Radchenko, G. A. Pavlova, S. V. Gorbunov

Samara State Technical University
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu634
Abstract: The variant of endochronic theory of high-temperature plasticity without fluidity surface for a collapsing material is studied. Stability by Lyapunov of solutions in flat tension conditions is investigated. The limiting surface of steady deformation is constructed. It is shown that transition through this surface correlates with divergence of numerical iterative calculation procedure. Calculation examples are quoted.
Keywords: high-temperature plasticity, damage of material, the endochronic theory, Lyapunov stability of solutions, a limiting surface, divergence of iterative procedure.
Original article submitted 05/VII/2008
revision submitted – 12/X/2008
Bibliographic databases:
Document Type: Article
UDC: 539.376+539.4+517.9
MSC: 74Cxx, 74G55
Language: Russian
Citation: V. P. Radchenko, G. A. Pavlova, S. V. Gorbunov, “Stability by Lyapunov of solutions in endochronic plasticity theory without fluidity surface in flat tension conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(17) (2008), 143–151
Citation in format AMSBIB
\Bibitem{RadPavGor08}
\by V.~P.~Radchenko, G.~A.~Pavlova, S.~V.~Gorbunov
\paper Stability by Lyapunov of solutions in endochronic plasticity theory without fluidity surface in flat tension conditions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2008
\vol 2(17)
\pages 143--151
\mathnet{http://mi.mathnet.ru/vsgtu634}
\crossref{https://doi.org/10.14498/vsgtu634}
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  • https://www.mathnet.ru/eng/vsgtu/v117/p143
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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