Engineering Transactions, 47, 2, pp. 135–144, 1999
10.24423/engtrans.624.1999

Problems of Identification of Material Parameters for Different Types of Viscoplastic Constitutive Equations

P. Kłosowski
Technical University of Gdansk
Poland

K. Woźnica
Universite des Sciences eTechnologie de Lille, Eudil
France

In the paper the problem of identification of the material parameters of the elasto-viscoplastic constitutive equations is considered. A method based on the uniaxial tension tests for the Bodner -Partom law and two methods (from the tension and cyclic tests) for the Chaboche laws are presented. The parameters for both models for mild steel are directly calculated from the tension tests. Additionally, the numerical simulation of the cyclic loading tests is used for identification of the Chaboche model parameters. Results of the identification are verified in the viscoplastic analysis of vibrations of circular plates.
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

S.R. BODNER, Review of a unified elasto-viscoplastic theory [In:] Unified Constitutive Equations for Creep and Plasticity, [Ed.] K. Miller, Elsevier Appl. Sci., 1987. 273–301.

S. HUANG, A.S. KHAN, Modeling the mechanical behaviour of 1100-0 aluminium at different strain rates by the Bodner-Partom model, Int. J. of Plasticity, 8, 501–512, 1992.

M.A. ROWLEY, E.A. THORNTON, Constitutive modeling of the visco-plastic response of Hastelloy-X and aluminium alloy 8009, J. Eng. Mat. Tech., 118, 19–27, 1996.

D.W. MARQUARDT, An algorithm for least square estimation of parameters, J. Soc. Indust. Appl. Math., 11, 431–441, 1963.

K.S. CHAN, S.R. BODNER, U.S. LINDHOLM, Phenomenological modelling of hardening and thermal recovery in metals, ASME J. Eng. Mater. Technol., 110, 1–8, 1988.

K. WOŹNICA, P. KŁOSOWSKI, Comportement dynamique des structures elasto-visco-plastiques – Problémes d'identification des parametres matériels de differentes lois constitutives, Mécanique Industrielle et Matériaux, 51, 2, 1998.

J. LEMAITRE, J.L. CHABOCHE, Mechanics of solid materials, Cambridge University Press, Cambridge 1990.

S.R BODNER, Y. PARTOM, Constitutive equations for elastic-viscoplastic strain-hardening materials, ASME, J. Appl. Mech., 42, 385–389, 1975.

P. KŁOSOWSKI, Material parameters identification for viscoplastic constitutive equations, Proc. of XIII Polish Conf. Comp. Methods in Mech., Poznan 1997, 623–630.

M.S. ABDEL-KADER, A.M. ELEICHE, Evaluation of parameters of a modified Chaboche theory with application to Inconel 718, Proc. MECAMAT Becauçon 1988, 519–535.

P. KŁOSOWSKI, Non-linear numerical analysis and experiments on vibrations of elasto-viscoplastic plates and shells, Techn. Univ. of Gdansk, Monographs, 8, 1999.

K. WOŹNICA, P. KŁOSOWSKI, Constitutive laws of viscoplasticity in dynamic response of structures, Eng. Trans. 45, 1, 183–204, 1997.




DOI: 10.24423/engtrans.624.1999