Hostname: page-component-7b7567c8c-7pwfn Total loading time: 0 Render date: 2026-11-14T01:37:13.880Z Has data issue: false hasContentIssue false
  • English
  • Français

A Superplasticity Theory based on Dynamic Grain Growth

Published online by Cambridge University Press:  10 February 2011

M.J. Mayo and
J.R. Seidensticker
M.J. Mayo
Affiliation:
Dept. Materials Science & Engineering The Pennsylvania State University University Park, PA 16802 mayo@ems.psu.edu; Joseiden@aol.com
J.R. Seidensticker
Affiliation:
Dept. Materials Science & Engineering The Pennsylvania State University University Park, PA 16802 mayo@ems.psu.edu; Joseiden@aol.com
Get access

Abstract

The linear relation between dynamic grain growth rate and strain rate appears to be constant across all superplastic materials—regardless of whether the system examined is metallic or ceramic, and regardless of the stress exponent exhibited during deformation. The simplicity and universality of the dynamic grain growth law suggest it might be useful as a foundation for a theory for superplasticity. One attempt at such a theory is presented. It is argued that stress leads to the development of anisotropic grain shapes that then require recovery through directionally biased grain growth events. Once this mathematical relationship between stress and grain growth rate is developed, it is inserted into the existing dynamic grain growth - strain rate law to arrive at a phenomenological law for superplasticity.

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1 Pearson, C.E., J. Inst. Met. 54 (1934) 111.Google Scholar
2 Packer, C.M. and Sherby, O.D., Trans. ASM 60 (1967) 21.Google Scholar
3 Ball, A. and Hutchison, M.M., Met. Sci. J. 3 (1969) 1.10.1179/msc.1969.3.1.1Google Scholar
4 Gittus, J.H., J. Engineering Materials and Technology (July, 1977) 244.10.1115/1.3443527Google Scholar
5 Mukherjee, A.K., Bieler, T.R., and Chokshi, A.H., Proc. Tenth Risø International Symposium on Metallurgy and Materials Science: Materials Architecture, edited by Hansen, N. et al. Roskilde, Denmark: Risø National Laboratory, Roskilde, Denmark, 1989. p. 207.Google Scholar
6 Badwal, S.P.S. et al. , J. Am. Ceram. Soc. 73 (1990) 2305.Google Scholar
7 Gust, M., Goo, G., Wolfenstine, J., and Mecartney, M.L., J. Am. Ceram. Soc. 76 (1993) 1681.10.1111/j.1151-2916.1993.tb06635.xGoogle Scholar
8 Wakai, F., Sakaguchi, S., and Kato, H., J. Ceram. Soc. Japan 94 (1986) 721.Google Scholar
9 Ma, Y. and Langdon, T. G., Acta Metall. Mater. 42 (1994) 2753.10.1016/0956-7151(94)90216-XGoogle Scholar
10 Nieh, T.G. and Wadsworth, J., Acta Metall. Mater. 38 (1990) 1121.10.1016/0956-7151(90)90185-JGoogle Scholar
11 Nauer, M. and Carry, C., Scripta Metall. Mater. 24 (1990) 1459.10.1016/0956-716X(90)90414-CGoogle Scholar
12 Seidensticker, J.R. and Mayo, M.J., Scripta Materialia 38 (1998) 1091.10.1016/S1359-6462(98)00004-9Google Scholar
13 Seidensticker, J.R. and Mayo, M.J., Acta Materialia 46 (1998) 4883.10.1016/S1359-6454(98)00201-8Google Scholar
14 Wilkinson, D.S. and Caceres, C.H., Acta Metall 32 (1984) 1335.10.1016/0001-6160(84)90079-8Google Scholar
15 Yoshizawa, Y.-I. and Sakuma, T., Supeiplasticity in Advanced Materials: ICSAM '91, edited by Hori, S. et al. Osaka, Japan: Japan Society for Research on Superplasticity, 1991. p. 251.Google Scholar
16 Nix, W.D., Metals Forum 4 (1981) 38–43.Google Scholar
17 Jiang, X-G et al. , Metall. and Mater. Trans. A 27A (1996) 863–872.10.1007/BF02649753Google Scholar
18 Schneibel, J.H. and Hazzledine, P.M., Acta Metall. 30 (1982) 1223–1230.10.1016/0001-6160(82)90018-9Google Scholar