Numerical modelling of the Portevin-Le Chatelier effect

Authors

  • Matthieu Mazière Centre des Matériaux Mines Paris, Paristech CNRS UMR 7633, BP 87, F-91003 Evry
  • Jacques Besson Centre des Matériaux Mines Paris, Paristech CNRS UMR 7633, BP 87, F-91003 Evry
  • Samuel Forest Centre des Matériaux Mines Paris, Paristech CNRS UMR 7633, BP 87, F-91003 Evry
  • Benoit Tanguy Centre des Matériaux Mines Paris, Paristech CNRS UMR 7633, BP 87, F-91003 Evry
  • Hervé Chalons Turbomeca, F-64511 Bordes
  • François Vogel Turbomeca, F-64511 Bordes

Keywords:

Portevin-Le Chatelier effect (PLC), strain ageing, Nickel based superalloys, stability

Abstract

The model proposed by MacCormick (1989) describing dynamic strain aging is used for a nickel based superalloy. The model is presented for small deformations, and an analytical homogeneous solution is calculated for simple tension. Parameters for the nickelbased superalloy at 500 °C are obtained from tensile tests at constant strain rates. A linear perturbation analysis is performed to evaluate the critical strain (i.e. when serrations begin). The convergence toward this critical value of two numerical integration schemes of material law is studied for the simulation of a plate in tension.

Downloads

Download data is not yet available.

References

Benallal A., Berstad T., Clausen A., Hopperstad O., “ Dynamic strain aging and related instabilities

: experimental, theoretical and numerical aspects”, Eur. J. Mech., vol. 25, p. 397-424,

Besson J., Foerch R., “ Large scale object–oriented finite element code design”, Comp. Meth.

Appl. Mech. Engng, vol. 142, p. 165-187, 1997.

Bhanu Sankara Rao K., Kalluri S., Halford G., McGaw M. A., “ Serrated flow and deformation

substructure at room temperature in Inconel 718 superalloy during strain controlled

fatigue”, Scripta Metallurgica et Materialia, vol. 32, p. 493-498, 1995.

Drucker D., “ Some implications of work hardening and ideal plasticity”, Quaterly of Applied

Mathematics, vol. 7, p. 411-418, 1950.

Dybiec H., Chaturvedi M., “ Serrated yielding in Inconel 718”, Archives of metallurgy, vol. 36,

p. 341-352, 1991.

Fournier L., Delafosse D., Magnin T., “ Oxidation induced intergranular cracking and Portevin -

Le Chatelier effect in nickel base superalloy 718”, Mat. Sci. and Eng., vol. 316, p. 166-173,

Fressengeas C., Beaudoin A., Lebyodkin M., Kubin L., Estrin Y., “ Dynamic strain aging : A

coupled dislocation-Solute dynamic model”, Mat. Sci. and Eng., vol. 51, p. 226-230, 2005.

Girardin G., Delafosse D., “ Measurement of the satured dislocation pinning force in hydrogenated

nickel and nickel base alloys”, Scripta Materialia, vol. 51, p. 1177-1181, 2004.

Graff S., Forest S., Strudel J.-L., Prioul C., Pilvin P., Béchade J.-L., “ Strain localization phenomena

associated with static and dynamic strain ageing in notched specimen:experiments

and finite element simulations”, Mat. Sci. and Eng., vol. 387, p. 181-185, 2004.

Graff S., Forest S., Strudel J.-L., Prioul C., Pilvin P., Béchade J.-L., “ Finite element simulations

of dynamic strain ageing effects at V-notches and crack tips”, Scripta Materialia, vol. 52,

p. 1181-1186, 2005.

Hill R., “ A general theory of uniqueness and stability in elastic-plastic solids”, J. Mech. Phys.

Solids, vol. 6, p. 236-249, 1958.

Kok S., Bharathi M., Beaudoin A., Fressengeas C., Ananthakrishna G., Kubin L., Lebyodkin

M., “ Spatial coupling in jerky flow using polycrystal plasticity”, Acta materialia, vol. 51,

p. 3651-3662, 2003.

Kubin L., Estrin Y., “ The Portevin Le Chatelier effect in deformation with constant stress rate”,

Acta Metall., vol. 33, p. 397-407, 1985.

Le Chatelier A., “ Influence du temps et de la température sur les essais au choc”, Revue de

métallurgie, vol. 6, p. 914-917, 1909.

Le Chatelier F., Portevin A., “ Sur le phénomène observé lors de l’essai de traction d’alliages

en cours de transformation”, C. R. Acad. Sci. Paris, vol. 176, p. 507-510, 1923.

MacCormick P., “ Theory of flow localisation due to dynamic strain ageing”, Acta Metall., vol.

, p. 3061-3067, 1989.

Mesarovic S., “ Dynamic strain aging and plastic instabilities”, J. Mech. Phys. Solids, vol. 43,

n 5, p. 671-700, 1995.

Neuhäuser H., Patterns, Defects and Material Instabilities, Kluwer Academic Publishers, chapter

Plastic instabilities and the deformation of metals, p. 241-276, 1990.

Rizzi E., Hähner P., “ On the Portevin-Le Chatelier effect : theoretical and numerical results”,

Int. J. Plasticity, vol. 20, p. 121-165, 2004.

Tsukahara H., Iung T., “ Piobert-Lüders and Portevin - Le Chatelier instabilities. Finite element

modelling with ABAQUS”, J. Phys. IV, vol. 9, p. 157-164, 1999.

Zbib H., Aifantis E., “ On the localization and postlocalization behavior of plastic deformation.

III. On the structure and velocity of the Portevin - Le Chatelier bands”, Res Mechanica,

vol. 23, p. 293-305, 1988.

Zhang S., Mccormick P., Estrin Y., “ The morphology of Portevin- Le Chatelier bands : finite

element simulation for Al-Mg-Si”, Acta Mater., vol. 49, p. 1087-1094, 2001.

Downloads

Published

2008-07-09

How to Cite

Mazière, M. ., Besson, J. ., Forest, S. ., Tanguy, B. ., Chalons, H. ., & Vogel, F. (2008). Numerical modelling of the Portevin-Le Chatelier effect. European Journal of Computational Mechanics, 17(5-7), 761–772. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/1841

Issue

Section

Original Article