Hostname: page-component-76fb5796d-dfsvx Total loading time: 0 Render date: 2024-04-26T17:56:18.751Z Has data issue: false hasContentIssue false

Thermodynamic Driving Forces for Martensitic Phase Transformations in Shape-Memory Alloys

Published online by Cambridge University Press:  01 February 2011

C. Jannetti
Affiliation:
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
J.L. Bassani
Affiliation:
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
S. Turteltaub
Affiliation:
Department of Aerospace Engineering, Delft University of Technology, Kluyverweg 1, 2629 HS Delft, The Netherlands
Get access

Abstract

A macroscopic constitutive model for the martensitic phase transformations in single-crystal shape-memory alloys (SMAs) is developed in the framework of irreversible thermodynamics with internal variables. Central to the model is the notion that the rate of progression of structural rearrangements on the microscale depends on the stress state through the thermodynamic forces conjugate to the rearrangements. These thermodynamic forces, i.e. the driving forces for the phase transitions, are shown to have an important contribution that arises from changes in the effective elastic response of the SMA, which in turn depend upon the state of transformation. This contribution is shown to have a significant effect on the overall macroscopic stress-strain response.

Type
Research Article
Copyright
Copyright © Materials Research Society 2005

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. Rice, J.R., J. Mech. Phys. Solids, 19, 433 (1971).Google Scholar
2. Anand, L., Gurtin, M.E., J. Mech. Phys. Solids, 51, 1015 (2003).Google Scholar
3. Thamburaja, P., Anand, L., J. Mech. Phys. Solids, 49, 709 (2001).Google Scholar
4. Lee, E.H., J. Appl. Mech. 36, 1 (1969).Google Scholar
5. Hane, K.F., Shield, T.W., Acta mater., 47, 2603 (1999).Google Scholar
6. James, R.D., Hane, K.F., Acta mater., 48, 197 (2000).Google Scholar
7. Willis, J.R., Advances in App. Mechanics, 21, 1 (1981).Google Scholar
8. Ponte-Castañeda, P., Suquet, P., Advances in App. Mechanics, 34, 171 (1998).Google Scholar
9. Reuss, A., Z. angew. Math. Mech. 19, 49 (1929).Google Scholar
10. Hill, R., J. Mech. Phys., 14, 95 (1966).Google Scholar
11. Bassani, J.L.. Advances in App. Mechanics, 30, 191 (1994).Google Scholar
12. Gall, K., Sehitoglu, H., Chumlyakov, Y.I., Kireeva, I.V., Acta mater., 47, 1203 (1999).Google Scholar