3.Ferromagnetic Shape Memory Alloys (FSMAs)
Sponsorship: Prior; Helsinki University of Technology (subcontract on grant from TEKES, Finnish Technology Foundation), Lord Corporation, Boeing Corporation (subcontract on DARPA grant), Midé Technologies, Office of Naval Research, ACX Corp. (subcontract on NASA grant).
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Shape-memory alloys show a martensitic transformation characterized by significant dimensional changes. They compete with piezoelectric and magnetostrictive materials in many smart-material and actuator applications. Shape memory materials can exhibit large strains but are typically activated by a temperature change. This mode of actuation is inefficient and has strict frequency limitations.
We have demonstrated that certain shape memory materials
that are also ferromagnetic can show very large dimensional changes under
the application of a magnetic field. These strains occur within the low-temperature
(martensitic) phase. This effect was first observed in the low-termperature,
tetragonal (martensitic) phase (Fg. 3.1b) of the Heusler intermetallic
Ni2MnGa (Fig. 3.1a), where strains of 0.19% were produced in
fields of 0.8 Tesla at 265K (see Fig. 3.2). These large field-induced strains
(comparable to those observed in Terfenol-D) are associated with the motion
of twin boundaries in the martensitic phase under the driving force of
the change in Zeeman energy, M.H, across the twin boundaries.
![]() Fig. 3.1 a) Heulser structure of Ni2MnGa. ![]() Fig. 3.1 b) Tetragonal phase of the same composition, stable below a martensitic transformation temperature of about 0oC.
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![]() Fig. 3.2 Strain versus field for martesnitic single crystal Ni2MnGa at -8oC. The strain is measured along [001] with the field applied along [001] and [110]. Adapted from Ullakko et al., 1996. |
The potential for capturing strains approaching the 6.6%
c-axis
contraction associated with the transformed phase was advanced with the
observation shown below. We were able to isolate a lone twin boundary in
a single-crystal bar of Ni-Mn-Ga (Fig. 3.3). The off-stoichiometry composition
was chosen (Murray et al., 1998) so that the material is martensitic at
room temperature. In addition to observing the lone twin boundary and its
associated 6% shear strain, we were able to move the twin boundary in an
applied field of about 4 kOe.
Fig. 3.3 Left, a 26 mm long crystal of Ni-Mn-Ga alloy at room temperature in zero field. Right, the same sample after application of a field of order 4 kOe by a permanent magnet. The metallic sample exhibits a 5o kink at the twin boundary.
The observation in Fig. 3.3 allowed us to confirm empiracally the prevailing notions that the twin boundaries occur along what had been {101} and {011} planes in the pareent phase ({211} planes in martensite), hence the c axis changes direction by about 86 degrees across the twin boundary, and the preferred direction of magnetization is along the tetragonal caxis.
In order to get the crystals to strain extensionally rather than in the manner shown in Fig. 3.3, samples were cut so that the twin boundaries lie at about 45o to the sample axis. Fig.. 3.4 is a selection of frames from a high-speed (1200 frames/sec) video of the motion of twin boundaries in such a sample measuring 6 mm by 6 mm by 20 mm. The initial state of the sample is nearly a single-variant state with vertical c axis established by a static vertical stress of about 1.6 MPa. As the horizontal field (orthogonal to the stress axis) is increased to about 5 kOe, new, dark-shaded twins are seen to nucleate and grow, causing the sample height to increase by 6%. These new variants have their c axis and preferred direction of magnetization horizontal.
Fig. 3.4 Selected frames from a high-speed video of magnetic-field-induced twin boundary motion in an off-stoichiometry Ni-Mn-Ga crystal at room temperature. The sample is under a static vertical stress of 1.6 MPa and the horizontal field increases from about zero to 5 kOe over about 100 seconds in real time.
Measurement of DC field-induced strain on a single crystal of martensitic Ni-Mn-Ga at room temparature showed a 6% strain if the sample was stressed orthogonal to the field direction by about 1.5 MPa (Murray et al. 2000). These quasistatic field-induced strain curves showed a hysteresis of about 1500 Oe.
A system was made to allow AC actuation under stress (Fig.
3.5). The bias stress is applied by a spring (horizontal in this
figure); the stress is adjusted by compressing the spring toward the sample.
A specially designed field coil and laminated core provided a field of
up to 7 kOe (vertical in this figure.
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Fig. 3.5 Left, picture of Ni-Mn-Ga sample in AC test system that applies a horizontally directed dynamic stress to the sample while a vertically directed AC field is varied. The sample measures about 15 mm in length. Right, video of the motion of the sample taken at 2 Hz with peak magnetic field strength of 5 kOe.
| The actuation shown
in Fig. 3.5 has been digitally collected and analyzed for a different sample
than that shown in the video. Typical results are shown in Fig. 3.6. Note
that the field induced strain increases with increasing bias stress, maximizing
near 1.4 MPa. For larger stresses, the field-induced strain decreases,
being blocked for stresses of 2 to 3 MPa. The theoretical blocking stress
is a function of the anisotropy energy, saturation magnetization and applied
field as described by O'Handley (1998) and Murray et al. (2000).
Fig. 3.6 Field-induced strain taken at room temperature
in the apparatus of Fig. 3.5 under different average stresses at 1 Hz drive
(2 Hz actuation). This particular sample only strained by about 3.1% at
optimal stress bias of about 1.4 MPa.
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Data like that in Fig. 3.6 have been taken up to actuation frequencies of several hundred Hz. The limitation in these cases is not the material but the impedance match between the power supply and the drive coils.
The impact of this discovery of large magnetic-field-induced strains in FSMAs can be appreciated by the fact that the energy density in the material exceeds that in Terfenold-D, being of order 10 kJ/m3 so far. Further, power output we have already achieved in these materials far exceeds that of electric motors and is comparable to that of an internal combustion engine.
Some relevant FSMA publications:
"Large Magnetic-field-induced Strains in Ni2MnGa Single Crystals," R.C. O'Handley, K. Ullakko, J.K. Huang, and C. Kantner, Appl.
"Field-induced strain under load in Ni-Mn-Ga magnetic shape memory materials," S.J. Murray, M. Farinelli, C. Kantner, J.K. Huang,
M.Allen, MRS Conf. Proc. Vol 604 279-284 (2000)."Phenomenology of Giant Magnetic-Field induced Strain in Ferromagnetic Shape Memory Materials", R. C. O'Handley, S. J. Murray, M. Marioni, H.
New York., 2001).