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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2008 Issue 2(17), Pages 143–151 (Mi vsgtu634)

This article is cited 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

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.

UDC: 539.376+539.4+517.9

MSC: 74Cxx, 74G55

Original article submitted 05/VII/2008
revision submitted – 12/X/2008

DOI: 10.14498/vsgtu634



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