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Numerical Simulation of Twin-Twin Interaction in Magnetic Shape-Memory Alloys

Published online by Cambridge University Press:  01 February 2011

Markus Chmielus ,
David Carpenter ,
Alan Geleynse ,
Michael Hagler ,
Rainer Schneider  and
Peter Müllner
Markus Chmielus
Affiliation:
[email protected], Boise State University, Materials Science and Engineering, 1910 University Dr., Boise, ID, 83725, United States
David Carpenter
Affiliation:
[email protected], Boise State University, Materials Science and Engineering, 1910 University Dr., Boise, ID, 83725, United States
Alan Geleynse
Affiliation:
[email protected], Boise State University, Materials Science and Engineering, 1910 University Dr., Boise, ID, 83725, United States
Michael Hagler
Affiliation:
[email protected], Boise State University, Materials Science and Engineering, 1910 University Dr., Boise, ID, 83725, United States
Rainer Schneider
Affiliation:
[email protected], Hahn-Meitner-Institut, Diffraction Group, Dept. SF1, Berlin, 14109, Germany
Peter Müllner
Affiliation:
[email protected], Boise State University, Materials Science and Engineering, 1910 University Dr., Boise, ID, 83725-2075, United States, 208-426-5136, 208-426-2470
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Abstract

Twin boundary motion is the mechanism that drives the plastic deformation in magnetic shape memory alloys (MSMAs), and is largely dependent on the twin microstructure of the MSMA. The twin microstructure is established during the martensitic transformation, and can be influenced through thermo-magneto-mechanical training. For self-accommodated and ineffectively trained martensite, twin thickness and magnetic-field-induced strain (MFIS) are very small. For effectively trained crystals, a single crystallographic domain may comprise the entire sample and MFIS reaches the theoretical limit. In this paper, a numerical simulation is presented describing the twin microstructures and twin boundary motion of self-accommodated martensite using disclinations and disconnections (twinning dislocations). Disclinations are line defects such as dislocations, however with a rotational displacement field. A quadrupole solution was chosen to approximate the defect structure where two quadrupoles represent an elementary twin double layer unit. In the simulation, the twin boundary was inclined to the twinning plane which required the introduction of twinning disconnections, which are line defects with a stress field similar to dislocations. The shear stress - shear strain properties of self-accommodated martensite were analyzed numerically for different initial configurations of the twin boundary (i.e. for different initial positions of the disconnections). The shear stress - shear strain curve was found to be sensitive to the initial configuration of disconnections. If the disconnections are very close to boundaries of hierarchically higher twins – such as is the case for self-accommodated martensite, there is a threshold stress for twin-boundary motion. If the disconnections are spread out along the twin boundary, twinning occurs at much lower stress.

Keywords

magnetic propertiesmicrostructuresimulation
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 1090: Symposium Z – Materials Structures–The Nabarro Legacy , 2008 , 1090-Z05-26
Copyright
Copyright © Materials Research Society 2008

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References

1. Ullakko, K., et al., Appl Phys Lett, 69(13), 1966–1968 (1996).Google Scholar
2. Murray, S.J., et al., Appl Phys Lett, 77(6), 886–888 (2000).Google Scholar
3. Sozinov, A., Likhachev, A.A., Lanska, N., and Ullakko, K., Appl Phys Lett, 80(10), 1746–1748 (2002).Google Scholar
4. Müllner, P., Chernenko, V.A., and Kostorz, G., J Appl Phys, 95(3), 1531–1536 (2004).Google Scholar
5. Müllner, P., Chernenko, V.A., Mukherji, D., and Kostorz, G.. Cyclic magnetic-field-induced deformation and magneto-mechanical fatigue of Ni-Mn-Ga ferromagnetic martensites. in MRS Fall Symposium ‘Materials and Devices for Smart Systems’. 2003, Eds. Furuya, Y., et al. Boston, MA: Materials Research Society, pp. 415–420.Google Scholar
6. Chmielus, M., et al., European Physical Journal, accepted for publication, in press (2008).Google Scholar
7. Liebermann, H.H. and Graham, C.D. Jr, Acta Metallurgica, 25715–720 (1977).Google Scholar
8. Kostorz, G. and Müllner, P., Z Metallkd, 96(7), 703–709 (2005).Google Scholar
9. L'vov, V.A., Zagorodnyuk, S.P., and Chernenko, V.A., Eur Phys J B, 27(1), 55–62 (2002).Google Scholar
10. Hirth, J.P. and Pond, R.C., Acta Mater, 44(12), 4749–4763 (1996).Google Scholar
11. Pond, R.C. and Celotto, S., Int Mater Rev, 48(4), 225–245 (2003).Google Scholar
12. Müllner, P., Z Metallkd, 97(3), 205–216 (2006).Google Scholar
13. Romanov, A. and Vladimirov, V.I., Disclinations in Crystalline Solids, in Dislocations in Solids, Nabarro, F.R.N., Ed., 1992, Elsevier Science Publishers B.V.: Amsterdam. p. 191–402.Google Scholar
14. Ahlers, M., Philos Mag A, 82(6), 1093–1114 (2002).Google Scholar
15. Müllner, P. and Romanov, A.E., Scripta Metall Mater, 31(12), 1657–1662 (1994).Google Scholar
16. Hurtado, J.A., et al., Mat Sci Eng a-Struct, 190(1-2), 1–7 (1995).Google Scholar
17. Romanov, A.E., et al., J Appl Phys, 83(5), 2754–2765 (1998).Google Scholar
18. Romanov, A.E., Pompe, W., and Speck, J.S., J Appl Phys, 79(8), 4037–4049 (1996).Google Scholar
19. Müllner, P. and Romanov, A.E., Acta Mater, 48(9), 2323–2337 (2000).Google Scholar