Abstract
Hot Isostatic Pressing (HIP) of powders was modeled by Arzt, Ashby and Easterling (AAE model) and hot-isostatic diagrams were constructed based on several mechanisms: plastic yielding, power-law creep, diffusional densification, which can also include grain growth and pore separation. AAE model matches power-law creep solution and elastic solution to obtain an important coefficient. In this paper, a modified way to derive the densification rate equation during the stage of the power-law creep is proposed. The HIP diagrams constructed using AAE model, the modified model and the model introduced by Gampala et. al., are applied to HIPing of Ti-6A1-4V powders. The modified approach provided slower densification during initial stage of consolidation in comparison with other models. These approaches converge when full density is being achieved. Comparison with experiment is discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. Arzt, M. F. Ashby and K. E. Easterling,Metall. Trans. 14A, 211 (1983).
A. S. Helle, K. E. Easterling and M. F. Ashby,Acta metall. 33, 2163 (1985).
David P. Delo and Henry R. Piehler,Advances in Powder Metallurgy & Paniculate Materials-1995, Proceedings of the 1995 International Conference on Powder Metallurgy and Particulate Materials, V2, Part 5, p. 113, Compiled by Marsha Phillips and John Porter, MPIF 1995, Seattle, WA (1995).
B. W. Choi, Y. G. Denget al., Acta metall. mater. 38, 2225 (1990).
5. B. W. Choi, J. Marschallet al., Acta metall. mater. 38, 2245 (1990).
L. T. Kuhn and R. M. McMeeking,Int. J. Meck Sci. 34, 563 (1992).
J. Kevin McCoy,Metall. Trans. 16A, 1903 (1985).
E. K. H. Li and P. D. Funkenbusch,Metall. Trans. 24A, 1345 (1993).
S. V. Nair and J. K. Tien,Metall. Trans. 18A, 97 (1987).
S. V. Nair, B. C. Hendrix and J. K. Tien,Acta metall. 34, 1599 (1986).
E. K. H. Li and P. D. Funkenbusch,Acta metall. 37, 1645 (1989).
David P. DeLo,Ph.D. Thesis, Carnegie Mellon University, Pittsburgh, PA (1996).
S. P. Timoshenko and J. N. Goodier,Theory of Elasticity, p. 409, McGrawHill, New York, NY (1970).
R. Gampala, D. M. Elzey and H. N. G. Wadley,Acta metall. mater. 44, 1479 (1996).
D. M. Elzey and H. N. G. Wadley,Acta metall. mater. 41, 2297 (1993).
J. Warren, L. M. Hsiung and H. N. G. Wadley,Acta metall. mater. 43, 2773 (1995).
C. H. Hamilton, A. K. Gosh and M. W. Mahoney,Advanced Processing Methods for Titanium Alloys, (eds., D. F. Hasson and C. H. Hamilton), pp. 129–144, TMS-AIME, Warrendale, Pa (1982).
Harold J. Frost, Michael F Ashby,Deformation-Mechanism Maps, p. 44, Pegamon Press Inc., Maxwell House, Fairview Park, Elmsford, New York 10523, USA (1982).
J. Warren,Scripta Materialia 34, 897 (1996).
S. Indrakanti, V. Nesterenko (unpublished).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Liu, Y., Nesterenko, V.F. & Indrakanti, S.S. Modified Arzt-Ashby-easterling model for powder consolidation. Metals and Materials 4, 336–344 (1998). https://doi.org/10.1007/BF03187788
Issue Date:
DOI: https://doi.org/10.1007/BF03187788