Abstract
The boundary problem in the mechanics of superplasticity is formulated on the basis of a standard superplasticity power law and the Perzyna viscoplasticity model. Methods of identifying these models on the basis of the same input data are proposed.
Similar content being viewed by others
References
Smirnov, O.M., Obrabotka metallov davleniem v sostoyanii sverkhplastichnosti (Pressure Treatment of Metals in a Superplastic State), Moscow: Mashinostroenie, 1979.
Valiev, R.Z. and Aleksandrov, I.V., Ob”emnye nanostrukturnyemetallicheskie materially: poluchenie, struktura i svoistva (Bulky Metal Nanomaterials: Production, Structure, and Properties), Moscow: Akademkniga, 2007.
Zagirov, T.M., Kruglov, A.A., and Enikeev, F.U., Identifying the rheological parameters of superplasticity from test shaping of sheets at constant pressure, Zavod. Lab., Diagn. Mater., 2010, vol. 76, no. 9, pp. 48–56.
Padmanabhan, K.A., Vasin, R.A., and Enikeev, F.U., Superplastic Flow: Phenomenology and Mechanics, Berlin: Springer-Verlag, 2001.
Vasin, R.A. and Enikeev, F.U., Vvedenie v mekhaniku sverkhlatichnosti (Introduction to the Mechanics of Superplasticity), Ufa: Gilem, 1998, part1.
Enikeev, F.U., Determining the threshold stress for superplastic materials, Zavod. Lab., Diagn. Mater., 2002, no. 7, pp. 39–42.
Enikeev, F.U., Mazurskii, M.I., and Munirova, O.S., Accounting of the temperature factor in description of the behavior of superplastic material, Zavod. Lab., 2001, no. 4, pp. 42–53.
Zherebtsov, Yu.V., Zagirov, T.M., Ayupov, I.F., and Enikeev, F.U., Computer simulation of superplastic forming of ultrafine-grained sheet materials, Obrab. Met. Tekhnol. Oborud. Instrum., 2010, no. 2, pp. 3–7.
Vasin, R.A., Enikeev, F.U., Tokuda, M., and Safiullin, R.V., Mathematical modeling of the superplastic forming of a long rectangular sheet, Int. J. Nonlinear Mech., 2003, vol. 35, pp. 799–807.
Akhunova, A.Kh., Dmitriev, S.V., Kruglov, A.A., and Safiullin, R.V., Superplastic forming of sheet billets into an extended wedge matrix, Deform. Razrushenie Mater., 2010, no. 9, pp. 38–41.
Perzyna, P., Fundamental Problems in Viscoplasticity, New York: Academic, 1966.
Chung, D.W. and Cahoon, J.R., Superplasticity in aluminium-silicon eutectic, Met. Sci., 1979, vol. 13, pp. 635–640.
Holt, D.L. and Backofen, W.A., Superplasticity in the Al–33Cu eutectic alloy, ASM Trans. Quart., 1966, vol. 59, pp. 755–768.
Matsuki, K., Minami, K., Tokizawa, M., and Murakami, Y., Superplastic behaviour in nominally single-phase and two-phase Al–Cu alloys, Met. Sci., 1979, vol. 13, pp. 619–626.
Bricknell, R.H. and Bentley, A.P., The activation energy for superplastic flow in Al–6Cu–0.4 Zr, J. Mater. Sci., 1979, vol. 14, pp. 2547–2554.
Safiullin, R.V., Enikeev, F.U., and Mukhametrakhimov, M.M., Determination of the speed sensitivity of thin sheet superplastic materials according to the results of test moldings at the constant pressure, Zavod. Lab., 1999, no. 12, pp. 41–46.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.R. Ganieva, O.P. Tulupova, F.U. Enikeev, A.A. Kruglov, 2017, published in Vestnik Mashinostroeniya, 2017, No. 2, pp. 63–69.
About this article
Cite this article
Ganieva, V.R., Tulupova, O.P., Enikeev, F.U. et al. Modeling of superplastic structural materials. Russ. Engin. Res. 37, 401–407 (2017). https://doi.org/10.3103/S1068798X17050112
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068798X17050112