Mathematical Model of Anisotropic Elastoplastic Material

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The work considers some techniques for defining the stress state during computer modelling of metal-forming processes. A mathematical model of anisotropic elastoplastic material has been developed and an algorithm of computing the stress-strain behavior according to this model has been described.

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127-133

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February 2016

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© 2016 Trans Tech Publications Ltd. All Rights Reserved

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[1] Yu.I. Rybin, A.I. Rudskoy, A.M. Zolotov, Mathematical modelling and designing of metal forming processes, Nauka, Moscow, 2004. (in Russ. ).

Google Scholar

[2] F. Dunne, N. Petrinic, Introduction to computational plasticity, Oxford University Press, Oxford, (2005).

Google Scholar

[3] F.V. Grechnikov, Deformation of Anisotropic Materials: Intensification Reserves, Mashinostroenie, Moscow, 1998. (in Russ. ).

Google Scholar

[4] V.V. Sokolovsky, Plasticity theory, Vysshaya Shkola, Moscow, 1969. (in Russ. ).

Google Scholar

[5] D.Q. Wang, Numerical integration for anisotropic plasticity. Dissertation Thesis, Wyoming, (1995).

Google Scholar

[6] J.D. Hambrecht, Elastic-plastic return algorithms for sheet metal forming simulations and spring back analysis. Dissertation Thesis, Ohio, (1993).

Google Scholar

[7] R. Hill, Mathematical theory of plasticity, Oxford University Press, Oxford, (1998).

Google Scholar

[9] F. Barlat, Constitutive modelling for metals, in: D. Banabic (Ed. ), Advanced methods in material forming, Springer, Berlin, 2007, pp.1-18.

Google Scholar

[10] D. Banabic, S. Soare, About the mechanical data required to describe the anisotropy of thin sheets to correctly predict the earing of deep-drawn cups, International Journal of Material Forming. 1 (2008) 285-288.

DOI: 10.1007/s12289-008-0348-x

Google Scholar

[11] J. Majak, S. Toompalu, M. Pohlak, Material parameters identification by use of hybrid GA, Journal of Achievements in Materials and Manufacturing Engineering. 27 (2008) 63-66.

Google Scholar

[12] Yu.M. Aryshensky, F.V. Grechnikov, Theory and calculation of plastic forming of anisotropic materials, Metallurgiya, Moscow, 1990. (in Russ. ).

Google Scholar

[13] Yu.M. Aryshensky, Theory of sheet metal forming of anisotropic materials, Saratov University, Saratov, 1973. (in Russ. ).

Google Scholar

[14] M.V. Storozhev, E.A. Popov, Metal forming theory, Mashinostroyeniye, Moscow, 1977. (in Russ. ).

Google Scholar

[15] D.D. Ivlev, G.I. Bykovtsev, Theory of plastic work-hardening body, Nauka, Moscow, 1971. (in Russ. ).

Google Scholar

[16] E.S. Neto, D. Peric, D.R.J. Owen, Computational methods for plasticity: theory and applications, John Wiley & Sons Ltd, London, (2008).

Google Scholar

[17] D.R.J. Owen, E. Hinton, Finite elements in plasticity: theory and practice, Pineridge Press Limited, London, (1980).

Google Scholar

[18] E.A. Volkov, Numerical methods, Nauka, Moscow, 1987. (in Russ. ).

Google Scholar