Far Eastern Mathematical Journal

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The modelling of finite elastic-plastic deformation in non-isothermal case

L. V. Kovtanjuk

2004, issue 1, P. 110–120

Abstract

The closed system of equation of finite elastic-plastic deformation mathematical model, when deforming is carried out in requirements of temperature changing, is obtained. In the basis of model The differential definitions for reversible and irreversible strains (equation of transport) are put. Sequential usage of non-equilibrium thermodynamics has allowed to construct mathematical model of deforming process, which is free from the problems of “select” of an objective derivative in definition of rate of irreversible strains tensor.

Keywords: finite elastic-plastic deformations, thermoelasticity

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References

[1] G. I. Bykovcev, A. V. Shitikov, “Konechnye deformacii uprugoplasticheskix sred”, DAN, 311:1 (1990), 59–62. [2] V. P. Myasnikov, “Uravneniya dvizheniya uprugoplasticheskix materialov pri bol'shix deformaciyax”, Vestnik DVO RAN, 1996, № 4, 8–14. [3] A. A. Burenin, G. I. Bykovcev, L. V. Kovtanyuk, “Ob odnoj prostoj modeli dlya uprugoplasticheskoj sredy pri konechnyx deformaciyax”, DAN, 347:2 (1996), 199–201. [4] V. I. Levitas, Bol'shie uprugoplasticheskie deformacii materialov pri vysokom davlenii, Nauk. dumka, Kiev, 1987, 232 s.

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