Application of the cyclic plasticity hardening law to metal forming
Krzysztof Muszka
, Konrad Perzyński, Łukasz Madej
AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland.
DOI:
https://doi.org/10.7494/cmms.2008.4.0255
Abstract:
Creation of a robust numerical model of the low cyclic plastic deformation is essential for predicting inhomogeneities occurring during strain path change. Application of such model to simulate various simple plastometric tests (three point bending or tension/compression) is the main subject of the present work. To take this effect into account, a nonlinear isotropic/kinematic hardening material model is considered and all the results are compared with those obtained for the conventional isotropic hardening model. Observed differences in strain and stress distribution are discussed in details. Finally, based on this analysis, conclusions regarding the possibility to apply investigated tests in identification of the material model parameters through the inverse analysis are drawn.
Cite as:
Muszka, K., Perzyński, K., Madej, Ł., (2008). Application of the cyclic plasticity hardening law to metal forming. Computer Methods in Materials Science, 8(4), 165 – 170. https://doi.org/10.7494/cmms.2008.4.0255
Article (PDF):
Keywords:
Cyclic hardening, Bauschinger effect, Finite element method
References:
Armstrong, P.J., Frederick, C.O., 1966, A mathematical representation of the multiaxial Bauschinger effect, C.E.G.B. Report RD/B/N 731.
Bochniak, W., Korbel, A., 2003, KOBO type forming forging of metals under complex conditions of the process, J. Mat. Proc. Techn., 134, 120-134.
Chaboche, J.L., Dang-Van, K., Cordier, G., 1979, Modelization of the strain memory effect on the cyclic hardening of 316 stainless steel, SMIRT-5, Division L., Berlin.
Davenport, S.B., Higginson, R.L., 2000, Strain path effects under hot working: an introduction, J. Mat. Proc. Techn., 98, 267-291.
Doghri, I., 1993, Fully implicit integration and consistent tangent modulus in elasto-plasticity, Int. J. Numer. Methods Eng., 36, 3915-3932.
Korbel, A., Bochniak, W., 1995, The structure based design of metal forming operations, J. Mat. Proc. Tech., 53, 229-237.
Lemaitre, J., Chaboche, J.L., 1990, Mechanics of Solid Materials, Cambridge University Press.
Madej, L., Hodgson, P.D., Pietrzyk, M., 2007, The validation of a multi scale rheological model of discontinuous phenomena during metal rolling, Comput. Mater. Sci., 41, 236-241.
Madej, L., Weglarczyk, S., Grosman, F., 2009, Numerical modeling of bulk metal forming processes with induced strain path change, Computer Methods in Material Science, 9, 234-240.
Mroz, Z., 1967, On the description of anisotropic workhardening, J. Mech. Phys. Solids, 53, 163-175.
Pietrzyk, M., Madej, L., Szeliga, D., Kuziak, R., Pidvysotskyy, V., Paul, H., Wajda, W., 2006, Rheological Models of Metallic Materials, Polish Metallurgy at the Beginning of XXI Century, eds., Świątkowski K., Komitet Metalurgii PAN, Kraków, 325-346.
Ziegler, H., 1959, A modification of Prager's hardening rule, Quart. Appl. Math., 17, 55–65.