Residual Stresses due to High Temperature Annealing. Mathematical Model and Calculations

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Abstract:

The mathematical model is developed for description of thermomechanical processes at cooling during high temperature annealing with the known initial temperature distribution (the temperature of holding) and stresses (acquired stresses at the final of a holding). It is taken into account the thermal sensitivity and material hardening at elasto-plastic solid deforming. The methodology based on the finite element method is proposed for solving thermomechanics problems of wide range. The suitable software is developed. At the final stage of annealing a cylindrical solid it is investigated residual stresses being formed on the cooling stage.

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Materials Science Forum (Volumes 524-525)

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355-360

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September 2006

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© 2006 Trans Tech Publications Ltd. All Rights Reserved

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[1] K. Washizu: Variational methods in elasticity and plasticity (Pergamon Press, Oxford New York Toronto Sydney Paris Frankfurt 1982).

Google Scholar

[2] E.M. Morozov, H.P. Nikishkov, T.A. Chernysh: Analytical and numeral methods of solving of boundary problems of plasticity and viscoplasticity (Sverdlovsk, Ural. Sci. Center, Academy of Sciences of USSR (1986), pp.87-94 (in Russian).

Google Scholar

[3] O.R. Hachkevych, V.S. Mykhailyshyn: Mathem. Methods and Physico-Mechan. Fields Vol. 47, No 3 (2004), pp.186-198 (in Ukrainian).

Google Scholar

[4] O. Hachkevych, V. Mykhailyshyn: Engineering Science No 9 (87) (2004), pp.129-135 (in Ukrainian).

Google Scholar

[5] H. Ziegler: Quart. Appl. Math. Vol. 17 (1959), pp.55-65.

Google Scholar

[6] D. H Allen, W.E. Haisler: Comput. & Struct. Vol 13, No 1 (1981), pp.129-135.

Google Scholar

[7] S.F. Budz, B.D. Drobenko, V.S. Mykhailyshyn: Computer modeling of thermoelastoplasic behaviour of the mechanical system (Academy of Sci. of Ukraine, Institute for Applied Problems of Mechanics and Mathematics, Ukraine 1992) (in Russian).

Google Scholar

[8] Heating engineering reference book (Under red. V.N. Jurenev, P.D. Lebedev, Energija, Russia 1976) (in Russian).

Google Scholar