Geodesic
Stability by Lyapunov of solutions in endochronic plasticity theory without fluidity surface in flat tension conditions
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 143-151

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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. 
@article{VSGTU_2008_2_a15,
     author = {V. P. Radchenko and G. A. Pavlova and S. V. Gorbunov},
     title = {Stability by {Lyapunov} of solutions in endochronic plasticity theory without  fluidity surface in flat tension conditions},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {143--151},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a15/}
}
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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. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 143-151. http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a15/