Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki (Jun 2008)

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

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

DOI
https://doi.org/10.14498/vsgtu634
Journal volume & issue
Vol. 2(17)
pp. 143 – 151

Abstract

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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.