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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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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
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
Linking options:
https://www.mathnet.ru/eng/vsgtu634 https://www.mathnet.ru/eng/vsgtu/v117/p143
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