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IssuesArchive of Issues2003-2pp.90-100

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R. A. Vasin, F. U. Enikeev, A. A. Kruglov, and R. V. Safiullin, "On the identification of constitutive relations by the results of technological experiments," Mech. Solids. 38 (2), 90-100 (2003)
Year 2003 Volume 38 Number 2 Pages 90-100
Title On the identification of constitutive relations by the results of technological experiments
Author(s) R. A. Vasin (Moscow)
F. U. Enikeev (Ufa)
A. A. Kruglov (Ufa)
R. V. Safiullin (Ufa)
Abstract A general technique is proposed to construct a solution of inverse problems of the identification of constitutive relations on the basis of the results of technological experiments. The basic distinctive feature of this technique is that it involves the development of simplified mathematical models of technological forming processes. These models are utilized for determining material constants on the basis of the results of experiments that are performed directly on the technological equipment. The proposes technique is implemented for the case of superplastic forming of cylindrical and spherical shells from sheet blanks of titanium alloy VT6s (an analogue of Ti-6Al-4V).
References
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2.  O. M. Smirnov, Superplastic Metal Forming [in Russian], Mashinostroenie, Moscow, 1979.
3.  N. E. Paton and Ch. Hamilton (Editors), Superplastic Forming of Structural Alloys [Russian translation], Metallurgiya, Moscow, 1985.
4.  G. B. Stroganov, I. I. Novikov, V. V. Boitsov, and V. F. Pirshikov, Utilization of Superplasticity in Metal Forming [in Russian], Mashinostroenie, Moscow, 1989.
5.  S. P. Timoshenko and S. Woinovsky-Krieger, Plates and Shells [Russian translation], Nauka, Moscow, 1966.
6.  V. I. Feodos'ev, Strength of Materials [in Russian], Nauka, Moscow, 1986.
7.  A. A. Kruglov, "Monitoring superplastic forming of sheet blanks," Kuznechno-Shtampovochnoe Proizvodstvo, No. 2, pp. 22-23, 1993.
8.  R. V. Safiullin, F. U. Enikeev, and M. Kh. Mukhametrakhimov, "A technique for determining the rate sensitivity parameter for thin sheet materials by the results of test forming at constant pressure," Zavodskaya Laboratoriya. Diagnostika Materialov, No. 12, pp. 41-46, 1999.
9.  R. V. Safiullin, F. U. Enikeev, and R. Ya. Lutfullin, "A technique for determining the degree of deformation in the process of superplastic forming of thin sheet materials," Kuznechno-Shtampovochnoe Proizvodstvo, No. 4, pp. 8-10, 1994.
10.  R. V. Safiullin and F. U. Enikeev, "Determination of thinning characteristics during sheet forming processes," in A. K. Ghosh and T. R. Bieler (Editors), Superplasticity and Superplastic Forming 1995. Warrendake, pp. 213-217, The Minerals, Metals and Materials Society, Penn, 1995.
11.  F. Jovane, "An approximate analysis of superplastic forming of a thin circular diaphragm: theory and experiments," Intern. J. Mech. Sci., Vol. 10, No. 5, pp. 403-427, 1968.
12.  O. A. Kaibyshev, Superplasticity of Industrial Alloys [in Russian], Metallurgiya, Moscow, 1984.
13.  R. A. Vasin, F. U. Enikeev, and R. V. Safiullin, "Mathematical modeling of superplastic forming of a long rectangular box section," Materials Science Forum, Vol. 304-306, pp. 765-770, 1999.
14.  F. U. Enikeev and V. K. Berdin, "Determination of the time history of the pressure in the process of pneumatic superplastic forming of a circular membrane," Problemy Prochnosti, No. 11, pp. 71-75, 1993.
15.  F. U. Enikeev, "An analytical model for superplastic bulge forming of domes," Materials Science Forum, Vol. 170-172, pp. 681-686, 1994.
16.  F. U. Enikeev, "Design of an optimal pressure supply law for superplastic forming of a circular membrane," Problemy Mashinostroeniya i Nadezhnost' Mashin, No. 1, pp. 64-68, 1995.
17.  F. U. Enikeev and A. A. Kruglov, "An analysis of the superplastic forming a thin circular diaphragm," Intern. J. Mech. Sci., Vol. 37, No. 5, pp. 473-483, 1995.
Received 07 July 2000
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