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Magnetostriction (cf. "electrostriction) is a property of "ferromagnetic materials that causes them to change their shape or dimensions during the process of "magnetization. The variation of materials' magnetization due to the applied "magnetic field changes the magnetostrictive strain until reaching its saturation value, "λ. The effect was first identified in 1842 by "James Joule when observing a sample of "iron.[1]

This effect causes energy loss due to frictional heating in susceptible ferromagnetic cores. The effect is also responsible for the low-pitched humming sound that can be heard coming from transformers, where oscillating AC currents produce a changing magnetic field.[2]



Internally, ferromagnetic materials have a structure that is divided into "domains, each of which is a region of uniform magnetic polarization. When a magnetic field is applied, the boundaries between the domains shift and the domains rotate; both of these effects cause a change in the material's dimensions. The reason that a change in the magnetic domains of a material results in a change in the materials dimensions is a consequence of "magnetocrystalline anisotropy, that it takes more energy to magnetize a crystalline material in one direction than another. If a magnetic field is applied to the material at an angle to an easy axis of magnetization, the material will tend to rearrange its structure so that an easy axis is aligned with the field to minimize the "free energy of the system. Since different crystal directions are associated with different lengths this effect induces a "strain in the material.[3]

The reciprocal effect, the change of the magnetic susceptibility (response to an applied field) of a material when subjected to a mechanical stress, is called the "Villari effect. Two other effects are thus related to magnetostriction: the "Matteucci effect is the creation of a helical anisotropy of the susceptibility of a magnetostrictive material when subjected to a "torque and the "Wiedemann effect is the twisting of these materials when a helical magnetic field is applied to them.

The Villari reversal is the change in sign of the magnetostriction of "iron from positive to negative when exposed to magnetic fields of approximately 40 kA/m.

On magnetization, a magnetic material undergoes changes in volume which are small: of the order 10−6.

Magnetostrictive hysteresis loop[edit]

Magnetostrictive hysteresis loop of Mn-Zn ferrite for power applications measured by semiconductor strain gauges

Like "flux density, the magnetostriction also exhibit "hysteresis versus strength of magnetizing field. The shape of this hysteresis loop (called "dragonfly loop") can be reproduced using the "Jiles-Atherton model.[4]

Magnetostrictive materials[edit]

Cut-away of a transducer comprising: magnetostrictive material (inside), magnetising coil, and magnetic enclosure completing the magnetic circuit (outside)

Magnetostrictive materials can convert magnetic energy into "kinetic energy, or the reverse, and are used to build "actuators and "sensors. The property can be quantified by the magnetostrictive coefficient, Λ, which may be positive or negative and is defined as the fractional change in length as the magnetization of the material increases from zero to the "saturation value. The effect is responsible for the familiar ""electric hum" (""About this sound Listen ) which can be heard near "transformers and high power electrical devices.

Cobalt exhibits the largest room-temperature magnetostriction of a pure element at 60 microstrains. Among alloys, the highest known magnetostriction is exhibited by "Terfenol-D, (Ter for "terbium, Fe for "iron, NOL for "Naval Ordnance Laboratory, and D for "dysprosium). Terfenol-D, "Tbx"Dy1−x"Fe2, exhibits about 2,000 microstrains in a field of 160 kA/m (2 kOe) at room temperature and is the most commonly used engineering magnetostrictive material.[5] "Galfenol is a newer such material.

Another very common magnetostrictive composite is the amorphous alloy "Fe81"Si3.5"B13.5"C2 with its trade name "Metglas 2605SC. Favourable properties of this material are its high saturation-magnetostriction constant, λ, of about 20 microstrains and more, coupled with a low "magnetic-anisotropy field strength, HA, of less than 1 kA/m (to reach "magnetic saturation). "Metglas 2605SC also exhibits a very strong ΔE-effect with reductions in the effective "Young's modulus up to about 80% in bulk. This helps build energy-efficient magnetic "MEMS.["citation needed]

Cobalt "ferrite, CoFe2O4 (CoO·Fe2O3), is also mainly used for its magnetostrictive applications like sensors and actuators thanks to its high saturation magnetostriction (~200 parts per million).[6] Having no "rare-earth elements, it is a good substitute for "Terfenol-D.[7] Moreover, its magnetostrictive properties can be tuned by inducing a magnetic uniaxial anisotropy.[8] This can be done by magnetic annealing,[9] magnetic field assisted compaction,[10] or reaction under uniaxial pressure.[11] This last solution has the advantage of being ultrafast (20 min) thanks to the use of "spark plasma sintering.

In early "sonar transducers, during World War II, "nickel was used as a magnetostrictive material. To alleviate the shortage of nickel, the Japanese navy used an "iron-"aluminium alloy from the "Alperm family.

See also[edit]


  1. ^ Joule, J.P. (1847). "On the Effects of Magnetism upon the Dimensions of Iron and Steel Bars". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. Taylor & Francis. 30, Third Series: 76–87, 225–241. Retrieved 2009-07-19.  Joule observed in this paper that he first reported the measurements in a "conversazione" in Manchester, England, in Joule, James (1842). "On a new class of magnetic forces". Annals of Electricity, Magnetism, and Chemistry. 8: 219–224. 
  2. ^ Questions & answers on everyday scientific phenomena. Sctritonscience.com. Retrieved on 2012-08-11.
  3. ^ James, R. D.; Wuttig, Manfred (12 August 2009). "Magnetostriction of martensite". Philosophical Magazine A. 77 (5): 1273–1299. "doi:10.1080/01418619808214252. 
  4. ^ Szewczyk, R. (2006). "Modelling of the magnetic and magnetostrictive properties of high permeability Mn-Zn ferrites". PRAMANA-Journal of Physics. 67 (6): 1165. "Bibcode:2006Prama..67.1165S. "doi:10.1007/s12043-006-0031-z. 
  5. ^ "Magnetostriction and Magnetostrictive Materials". Active Material Laboratory. "UCLA. Archived from the original on 2006-02-02. 
  6. ^ Olabi, A.G.; Grunwald, A. (January 2008). "Design and application of magnetostrictive materials". Materials & Design. 29 (2): 469–483. "doi:10.1016/j.matdes.2006.12.016. 
  7. ^ Turtelli, R Sato; Kriegisch, M; Atif, M; Grössinger, R (17 June 2014). "Co-ferrite – A material with interesting magnetic properties". IOP Conference Series: Materials Science and Engineering. 60: 012020. "doi:10.1088/1757-899X/60/1/012020. 
  8. ^ Slonczewski, J. C. (15 June 1958). "Origin of Magnetic Anisotropy in Cobalt-Substituted Magnetite". Physical Review. 110 (6): 1341–1348. "doi:10.1103/PhysRev.110.1341. 
  9. ^ Lo, C.C.H.; Ring, A.P.; Snyder, J.E.; Jiles, D.C. (October 2005). "Improvement of magnetomechanical properties of cobalt ferrite by magnetic annealing". IEEE Transactions on Magnetics. 41 (10): 3676–3678. "doi:10.1109/TMAG.2005.854790. 
  10. ^ Wang, Jiquan; Gao, Xuexu; Yuan, Chao; Li, Jiheng; Bao, Xiaoqian (March 2016). "Magnetostriction properties of oriented polycrystalline CoFe 2 O 4". Journal of Magnetism and Magnetic Materials. 401: 662–666. "doi:10.1016/j.jmmm.2015.10.073. 
  11. ^ Aubert, A.; Loyau, V.; Mazaleyrat, F.; LoBue, M. (August 2017). "Uniaxial anisotropy and enhanced magnetostriction of CoFe 2 O 4 induced by reaction under uniaxial pressure with SPS". Journal of the European Ceramic Society. 37 (9): 3101–3105. "doi:10.1016/j.jeurceramsoc.2017.03.036. 

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