Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-24T20:59:01.893Z Has data issue: false hasContentIssue false
  • English
  • Français

Model Tracking of Stress and Temperature Induced Martensitic Transformations for Assessing Superelasticity and Shape Memory Actuation

Published online by Cambridge University Press:  10 February 2011

X. Wu ,
T. J. Pence  and
D. S. Grummon
X. Wu
Affiliation:
Department of Materials Science and Mechanics, Michigan State University, East Lansing, MI 48824–1226
T. J. Pence
Affiliation:
Department of Materials Science and Mechanics, Michigan State University, East Lansing, MI 48824–1226
D. S. Grummon
Affiliation:
Department of Materials Science and Mechanics, Michigan State University, East Lansing, MI 48824–1226
Get access

Abstract

Both austenite/martensite transformations, and martensite/martensite variant reorientation are central to superelasticity and shape memory actuation. Here we discuss a simple model for tracking these transformations that is appropriate for device modeling. The approach is to augment conventional continuum mechanical descriptions with internal variables that track fractional partitioning of the material between austenite and the various martensite variants. A three-species model involving austenite and two complementary martensite variants provides sufficient generality to capture the martensite variant distributions that underlie shape memory, and the strain-accommodation associated with superelasticity. Transformations between all of these species can be tracked on the basis of triggering algorithms that reflect both tran sformation hysteresis and the variation of triggering stress with temperature. The algorithm described here is for temperature-dependent response resolved in a single direction. It requires only the following experimentally determined parameters: the four transformation temperatures Mf, Ms, As, Af, the transformation strain, the Young's modulus, and the transformation latent heat.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 459: Symposium Y – Materials for Smart Systems II , 1996 , 431
Copyright
Copyright © Materials Research Society 1997

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.)

References

REFERENCES

1. Tanaka, K., Res Mechanica 18, p. 251–263 (1986).Google Scholar
2. Liang, C. and Rogers, C.A., J. of Intell. Mater. Syst. and Struct. 1, p. 207–234 (1990).Google Scholar
3. Tobushi, H., Iwanaga, H., Tanaka, K., Hori, T. and Sawada, T., JSME International Journal-ser. 1 35, p. 271–277 (1992).Google Scholar
4. Brinson, L.C., J. Intell. Mater. Syst. and Struct. 4, p. 229–242 (1993).Google Scholar
5. Boyd, J.G. and Lagoudas, D.C., J. Intell. Mater. Syst. and Struct. 5, p. 333–346 (1994).Google Scholar
6. Brinson, L.C. and Huang, M.S., J. Intell. Mater. Syst. and Struct. 7, 108–114 (1996).Google Scholar
7. Pence, T.J., Grummon, D.S. and Ivshin, Y. in Mechanics of Phase Transformations and Shape Memory Alloys, ed. Brinson, L.C. and Moran, B., (ASME AMD vol. 189, 1994), p. 45–58.Google Scholar
8. Hou, L. and Grummon, D.S., Scripta Met. 33, p. 989–995 (1995).Google Scholar
9. Loloee, R., Pence, T.J. and Grummon, D.S. in Proceedings of ICOMAT-95 (J. de Physique IV C8, 1995), p. 545–550.Google Scholar
10. Likhachev, A.A. and Koval, Y.N., Scripta Met. 27, p. 223–227 (1992).Google Scholar
11. Ivshin, Y. and Pence, T.J., Int. J. Engng. Sci. 32, p. 681–704 (1994).Google Scholar
12. Wasilewski, R., Scripta Met. 5, p. 127–130, 131–135 (1971).Google Scholar
13. Duerig, T., Stockel, D. and Keeley, A. in Engineering Aspects of Shape Memory Alloys, (Butterworth-Heinemann, 1990), p. 181–194.Google Scholar
14. Ivshin, Y. and Pence, T.J., J. of Intell. Mater. Syst. and Struct. 5, p. 455–473 (1994).Google Scholar