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The noise produced by power transformers and electrical machines is harmful and its reduction is the hot subject in continuous research. Such systems are likely to be in resonance and become more vociferous, and the resonance may be mechanical or magnetic forces. The interaction between deformation due to magnetostriction and mechanical resonance of a structure made up of laminated steel sheets is investigated in this paper. The resonance phenomena are generally studied and analyzed by considering that frequency and spatial distribution of electromagnetic forces coincide with natural frequency and modes shapes of the corresponding structure. It is observed that magnetostriction may induce a resonance without the need to combine these two conditions. Two closed sheets structures of frame shape and ring shape consisting of cold-rolled grain-oriented (GO) and non-grain oriented (NO) electrical steels are used to confirm this assumption. Finite element (FE) calculations and measurements are made and compared with vibration displacements. Results of mechanical resonance induced by the magnetostrictive strain from ferromagnetic materials are shown, as well as the corresponding vibration spectrums. CONTENT: This paper presents a complete study on magnetostriction induced resonance from mechanical study to resonance detection. In Section II, the studied structure is described. In Section III, a comparison between Maxwell stresses and magnetostrictive strains is introduced and results of simulation are discussed. In Section IV, a complete study of mechanical properties of structure is presented and comparison between experimental and modeling results is described. In Section V, the summary of mechanical resonance due to magnetostriction is detailed. CONCLUSION: This paper has demonstrated that magnetostriction deformation can be implicated in mechanical resonance of a laminated structure and should be considered at the design stage for cold-rolled GO and NO electrical materials or any magnetostrictive materials grade.References: [1] K. Fonteyn, A. Belahcen, R. Kouhia, et al, “FEM for directly coupled magneto-mechanical phenomena in electrical machines,” IEEE Trans. Magn., vol. 46, no. 8, pp. 2923-2926, Aug. 2010. [2] U. Aydin, et al., “Magneto-mechanical modeling of electrical steel sheets,” J. Magn. Magn. Mater., vol. 439, pp. 82-90, Oct. 2017. [3] M. Liu, et al., “Reduction of power transformer core noise generation due to magnetostriction-induced deformations using fully coupled finite element modeling optimization procedures,” IEEE Trans. Magn., vol. 53, no. 8, Aug. 2017, Art. no. 8400511. [4] S. Somkun, A. J. Moses, and P. I. Anderson, “Mechanical resonance in nonoriented electrical steels induced by magnetostriction under PWM voltage excitation,” IEEE Trans. Magn., vol. 44, no. 11, pp. 4062-4065, Nov. 2008.

MMM 2020

Study of Mechanical Resonance Induced by Magnetostriction in Closed Structures Based on Fe-Si

The 65th Annual Conference on Magnetism and Magnetic Materials (MMM 2020) was held in a virtual form. The COVID-19 pandemic, with its associated uncertainty about international travel and the ability to gather in large groups, meant that the Steering Committee decided to cancel the face-to-face meeting that had been planned in Palm Beach, Florida November 2-6, 2020.

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poster

Praseodymium Iron Boron (PrFeB) thin film has recently attracted considerable attention for the potential magnetic property, which can alternate for currently NdFeB magnetic materials. The super low spin-reorientation temperature (about 4.2 K), huge uniaxial magnetocrystalline anisotropy (Ku), large coercivity (Hc), high saturation magnetization (Ms), and large energy products (BHmax) are the great properties that make PrFeB become a promising candidate in application of magnetic recording media nowadays. It is known that there is the body-centered tetragonal (BCT) structure of Pr2Fe14B phase mainly existing in PrFeB thin films to strengthen perpendicular magnetic anisotropy (PMA). The small lattice mismatch (δ) between Pr2Fe14B (00l) texture with [100] direction and BCC(110) texture underlayer with [110] and [001] directions makes the easy axis [001] perpendicular to the film plane. In this study, the Pr-Fe-B films with PMA were fabricated without underlayer on biased substrate by Pr25Fe65B10 alloy target. The substrate temperature was kept at 650oC and the bias was adjusted from -150 V to +100 V during sputtering hard magnetic Pr-Fe-B films. Then, Si3N4 cover layer was deposited at room temperature (RT). The deposited films were characterized for structural and magnetic properties by employing appropriate techniques. Effect of the substrate bias voltage on physical properties of thin film was systematically investigated. From our results, the squareness of the Pr-Fe-B film was enhanced significantly, because an epitaxial growth was initiated from applying substrate bias continuously through the Pr-Fe-B magnetic layer with the range of voltage from -50 to +50 V. Applying positive substrate bias changed atomic mobility, the Pr, Fe, and B atoms may diffuse chaotically in the magnetic layer. Consequently, an epitaxial barrier of the Pr-Fe-B alloy was broken among the elements in the magnetic layer, affected the deposition rates, improved the magnetic performance, and epitaxial growth of Pr-Fe-B thin films.

Strengthen the Magnetic Properties of Pr-Fe-B Thin Films by Biased Substrate

We report on magnetoresistance studies in La0.67Sr0.33MnO3 (LSMO) thin film on LaAlO3 by strain engineering at the interface. For this we investigate the magnetization and transport properties of compressively strained ferromagnetic LSMO films. We patterned Hall bars of the LSMO films and measure the longitudinal resistance in a 4-probe configuration applying a dc current bias. We systematically characterize the magnetic anisotropy of the thin films by varying temperature, applied magnetic field and the angle between current and field. The temperature and angular dependence of the longitudinal magnetoresistance for an in plane magnetic configuration explicitly shows three distinctly different magnetic phases. We observe a fourfold symmetry in the angular dependence of the magnetoresistance, for the temperature range between 10 to 125 K, indicating a biaxial anisotropy in the plane parallel to the (110) and (1-10) directions of thin film. Increasing the temperature further shows the presence of a second magnetic phase between 125 K to 250 K characterized by a twofold in-plane angle dependent magnetoresistance signal. We postulate that the fourfold symmetry is driven by magneto crystalline anisotropy whereas the twofold symmetry arises due to conventional anisotropic magnetoresistance. On increasing the temperature further, the thin film transit to a paramagnetic insulating phase. We show that the temperature variation of the angular dependence of the magnetoresistance is an important approach to study the different anisotropy induced in such strained thin oxide films and can complement torque based magnetometry studies.

Temperature dependence of the anisotropic magnetoresistance of compressively strained thin films of La2/3Sr1/3MnO3 on LaAlO3

The effect of high tensile strain and low dimensionality on the magnetic and electronic properties of CaMnO3 ultrathin films, epitaxially grown on SrTiO3 substrates, are theoretically analyzed (Fig. 1). By means of ab initio calculations, we find that, both, the high strain produced by the substrate and the presence of the free surface contribute to the stabilization of an in-plane ferromagnetic coupling, giving rise to a non-zero net magnetic moment in the ultrathin films. Remarkably, the FM component of the magnetic structure is stabilized, not as a consequence of a direct electron doping, as it happens when substituting the divalent Ca by trivalent elements or in the presence of O vacancies, as reported in the past, but rather because of a self-doping charge redistribution due to, both, the strain and the absence of apical oxygens. A deeper analysis of this charge redistribution can be obtained from the partial densities of states (pDOS) depicted in Fig. 2, where we separate the contributions of different MnO2 planes. From the total density of states projected onto each layer, we can see that the oxygens located at the surface are the ones which loose part of their charge, and this charge is redistributed in the Mn atoms located in inner layers, and begin to occupy the dx2-y2 orbitals. The self-doping electrons of this eg states, allow the presence of the FM double exchange and the AAF magnetic structure with more FM pairs becomes more stable. As it can also be seen from Fig.2, coupled with this change in the magnetic order we find an insulator-metal transition triggered by the quantum confinement and the tensile epitaxial strain.

Strain induced magnetic transition in CaMnO3 ultrathin films

Soft magnetic materials have been studied extensively in the recent years due to their applications in micro-transformers, micro-inductors, spin dependent memories etc. The unique features of these materials are the high frequency operability and high magnetic anisotropy. High uniaxial anisotropy is one of the most important properties for these materials. There are many methods to achieve high anisotropy field (Hk) which include sputtering with presence of magnetic field, exchange bias and oblique angle sputtering without the presence of the magnetic field, etc. There are multiple ways to increase the ferromagnetic resonance frequency which is proportional to coercivity Hk and magnetic saturation Ms. The ferromagnetic resonance depends on softness of the magnetic material to the applied field. With a highly soft magnetic material, one can operate the devices made out of these films at giga hertz regions without loss of efficiency. of the magnetic films is also highly desirable for many applications, such as power conversion and radio frequency (RF) devices operating at high frequencies. This work focuses on analyzing different growth conditions of thin films of CoZrTaB and the resulting magnetic and electrical properties of the films. Thin films are grown by oblique-angle sputtering method, where the sputtering gun forms an angle with respect to the sample substrate normal, ranging from 0 to 75 degrees. External magnetic field normally applied in order to form magnetic anisotropy is not used during film sputtering process. Using vibrating sample magnetometer, it was observed that films resulting from small oblique angles have no clear magnetic anisotropy developed; whereas in samples deposited at large angles close to 60 degree, there is clear magnetic anisotropy observed. Scanning electron microscopy imaging of the cross-section views of such film suggests the formation of tilted columns, which is likely to be the reason for magnetic anisotropy. Resistivity of the films was measured systematically and found to increase as the magnitude of oblique angle during sputtering increased.References: 1. M. Yamaguchi, K. H. Kim and S. Ikedaa, J. Magn. Magn. Mater. 304 (2), 208-213 (2006). 2. H. Wu, D. S. Gardner, W. Xu and H. B. Yu, IEEE Trans. Magn. 48 (11), 4123-4126 (2012). 3. H. Wu, D. S. Gardner, S. R. Zhao, H. Huang and H. B. Yu, J. Appl. Phys. 115 (17) (2014).

Magnetic Anisotropy and Electrical Property Of CoZrTaB Thin Films Deposited by Oblique Sputtering

Epitaxial films of Mn5Ge3/Ge<111> are interesting as a potential source of highly spin polarized electrons directly into Ge. Moreover, the high out-of-plane anisotropy of Mn5Ge3 opens up prospect for combining spintronics with data storage. The ferromagnetic Mn5Ge3 compound crystallizes in the hexagonal D88 structure; Mn atoms occupy two magnetically and structurally nonequivalent positions: 4d (MnI) and 6g (MnII). The Curie temperature of 296 K can be increased up to 445 K by doping with carbon [1]. Recent 55Mn NMR studies have shown that the magnetocrystalline anisotropy in Mn5Ge3 originates from the unquenched orbital moment of Mn in both crystallographic positions [2]. Furthermore, the 55Mn NMR study in Mn5Ge3C0.2/Ge(111) film has shown that carbon enters interstitially occupying the 2(b) octahedral voids and reduces the magnetic moment of the MnII atoms in the corners of a host octahedron [3]. To achieve further understanding of the role that carbon plays in this system, we carried out a systematic FMR and 55Mn NMR study on a series of epitaxial 30 nm thick Mn5Ge3Cx/Ge(111) films with the nominal carbon content x varying between 0 and 0.8. The FMR experiment shows that the uniaxial anisotropy constant Ku measured at 4.2 K systematically drops from 5,69x106 erg/cm3 to 8,06x105 erg/cm3 for the nominal concentration of x ≈ 0.6. The 55Mn NMR shows that in the concentration range up to x=0.5 the MnII atoms are found in two distinctly different magnetic states, identified as MnII (no carbon nearest neighbor) and MnII_C (one carbon nn). With increasing carbon concentration the NMR signal intensity is systematically transferred from MnII to MnII_C, and at x=0.5 no MnII NMR signal is observed anymore. On the other hand, no second satellite line is observed in the vicinity of the MnII signal in the entire concentration range, even though there are two available 2(b) positions around the MnII atoms. These two observations implicate that carbon does not enter statistically in the 2(b) voids, but shows a strong preference towards ordering, occupying every second 2(b) void along the hexagonal c-direction. This sets the limit for the uptake of the carbon atoms in the Mn5Ge3 lattice to x=0.5.References: [1] M. Gajdzik et al., J. Magn. Magn. Mater., Vol. 221 p. 248 (2000) [2] R. Kalvig et al., Phys. Rev. B, Vol. 97 p. 174428 (2018) [3] R. Kalvig et al., Phys. Rev. B, Vol. 101 p. 094401 (2020)

Ordered occupancy of interstitial voids in Mn5Ge3 lattice by the carbon dopant

TiO2 crystallizes in three different structures such as anatase, brookite and rutile [1-3]. In addition, Magneli phase is a titanium sub oxide (TinO2n-1, 4 ≤ n ≤ 10) have been explored as a promising candidate because of their high electrical conductivity, chemical inertness and corrosion resistance [4]. Among the Magneli phase compounds, Ti4O7 is important for its high electrical conductivity. In general, Ti4O7 is synthesised by thermal reduction of TiO2 [5]. These Magneli phases can easily accommodate oxygen deficiency through anionic vacancies, which leads to the partial reduction of Ti4+ to Ti3+. This Ti3+ gives local ferromagnetism in the material through hopping of the single 3d electron [6]. In this work, ion irradiation is used as a unique tool for the material modification depending upon the projectile ion, energy and the nature of the target. Ion irradiation has been found to amorphize, recrystallise and induce crystalline to crystalline phase transition or defects in various materials. In our earlier studies, we have used 500 keV Ar2+ ions to irradiate on the TiO2 thin films grown on Si substrate by e-beam evaporation technique and subsequently annealed under O2 environment at 500 C [7-8]. However, we have observed phase transformation from anatase to brookite through amorphisation and room temperature ferromagnetism (RTFM) in the films attribute to oxygen vacancies [7-8]. Hence, in the present study we have explored the role of 500 keV Ar2+ ion irradiation on the structural and magnetic properties of TiO2 thin films annealed under Ar at 900 C. The annealed films show Ti4O7 phase which transform to anatase phase upon irradiation with fluence 1 × 1014 ions.cm-2 as observed from the glancing angle x-ray diffraction (GAXRD). Further, irradiation with fluence 5 × 1016 ions.cm-2 recrystallizes to Ti4O7 phase. Raman spectroscopic studies also support the changes in phase. AFM show small change of surface morphology upon ion irradiation with roughness, 0.060, 0.062, 0.079 nm and grain size, 28, 28, 29 nm for the pristine film, films irradiated with ion fluenece 1 × 1014 and 5 × 1016 ions.cm-2, respectively. The origin of RTFM is coined with the oxygen vacancies concentration in the films.References: [1] C. Rath, P. Mohanty, A.C. Pandey, N. C. Mishra, J. Phys, D: Appl. Phys 47 315001 (2009). [2] P. Mohanty, V. P. Singh, N. C. Mishra, S. Ojha, D. Kanjilal, C. Rath, J. Phys, D: Appl. Phys 47 315001 (2014). [3] B. Bharati, N. C. Mishra, A. S. K. Sinha, C. Rath, Materials Research Bulletin 123 110710 (2020). [4] P. Geng, J. Su, C. Miles, C. Comninellis, G. Chen, Electrochimica Acta 153 316–324. (2015) [5] G. Wang, Y. Liu, J. Ye, W. Qiu, Journal of Alloys and Compounds 704 18 (2017). [6] M. Parras, A. Varela, R. C. Gil, K. Boulahya, A Hernando, J. M. G. Calbet, J. Phys. Chem. Lett. 4 2171 (2013). [7] B. Bharati, N. C. Mishra, D. Kanjilal, C. Rath, Applied Surface Science 428 723 (2018). [8] B. Bharati, N. C. Mishra, C. Rath, Applied Surface Science 455 717 (2018).

Evolution of Structural and Magnetic Properties of Ar2+ Ion Irradiated TiO2 Thin Films Annealed under Argon Atmosphere

The rare earth nitride (REN) series is a promising candidate for spintronics applications. It is the only epitaxy-compatible series of intrinsic ferromagnetic semiconductors, with members possessing complementary and contrasting magnetic properties.1 It is established that REN properties display high sensitivity to native defects, mainly the nitrogen vacancies (VN). VN form at the level of a few percent or less during thin film growth even in the most nearly stoichiometric films. The vacancies act as dopants and introduce n-type conductivity. The literature reports on more VN-induced effects in the REN such as the enhanced Curie temperature in GdN (from 50K to 70K) due to the formation of magnetic polarons at VN sites, and superconductivity below 4K in heavily VN-doped ferromagnetic semiconducting SmN thin films 2,3 Here, we show that the rate of N2 flow during growth and thin film properties are intimately linked, suggesting that the growth stoichiometry is key for understanding the structural, transport, and magnetic properties of the REN. X-ray diffraction, magnetic, Hall-effect, and transport measurements are carried out on a series of polycrystalline REN (GdN, SmN, and DyN) thin films. We show remarkable changes to the properties of the films: SmN film resistivity can be controlled over six orders of magnitude by less than one order of magnitude change of the N2/RE growth ratio. Hall-effect measurements correlate this increase in resistivity to a drop in the VN concentration. We also observe the signature of a secondary structural phase of GdN associated with N-deficient regions that develops as the N2 pressure decreases during the growth and has a smaller lattice parameter than stoichiometric GdN. We also observe an enhanced TC (up to 90 K) for the films grown with the lowest N2/Gd ratio.References: 1F. Natali et al, Prog. Mater. Sci. 58, 1316 (2013). 2F. Natali, et al, Phys. Rev. B 87, 035202 (2013). 3E. M. Anton et al, Phys. Rev. B 94, 024106 (2016).

Effect of the N2/RE Ratio During Growth on the Properties of Rare Earth Nitrides

Abstract – Cutting is a necessary manufacturing technique when using silicon steel to produce electrical devices. Different cutting methods have different effects on the internal structure and magnetic properties of electrical steel sheets[1]. Laser cutting will produce thermal stress during processing, while mechanical cutting will produce plastic deformation near the cutting edge, which both lead to deterioration in the magnetic properties of the material. Therefore, studying the effect of different cutting techniques on magnetic properties is of great significance to accurately simulate and predict the iron losses of electrical equipment. The existing research methods cut the same sample into the different number of strips along the rolling direction, and these methods conclude that the cutting has a certain influence on the magnetic properties of the electrical steel sheet. But they cannot systematically compare the differences in magnetic properties and degraded range of the three cutting methods[2]. In this paper, the influence of cutting methods, such as wire cutting, laser cutting, and shear cutting on the local magnetic properties of the silicon steel sheet is studied and analyzed. The magnetic properties measurement system is shown in Fig. 1. A mobile B-H composite sensor is designed to sense the distribution of local magnetic properties near the cutting edges. The results show that different cutting methods have different effects on the spatial distribution of magnetic flux and the corresponding B-H curves. With the increase of the distance from the cutting edge, the degree of magnetic degradation decreases gradually. Two mathematical models used to simulate the cutting edge effect by the finite element simulation can also better describe the magnetization curve of the electrical steel sheet damage trend, thus providing a model basis for the application of electrical equipment under actual working conditions.References: [1] G. Loisos, A. J,Moses,Journal of Materials Processing Tech., vol. 161, p. 151-155(2005) [2] A. Saleem, N. Alatawneh, R. R. Chromik and D. A. Lowther, IEEE Transactions on Magnetics., vol. 52, no. 5, p. 1-4(2016)

Magnetic Properties Measurement and Simulation of Electrical Steel Sheet under Cutting Influence

Some recent nondestructive testing methods have been developed to detect very small variations in the magnetic field surrounding a massive ferromagnetic structure, such as a tank or pipe [1]. In particular, the detection of sinking in buried pipelines becomes possible [2]. The sinking is characterized by local plastic deformation and the creation of long range residual stresses. These two elements are known to have a considerable influence on the magnetic behavior [3,4,5]. One of the keys to detection is the substantial modification of the remanent magnetization of the material. The study material is a two-phase ferrito-pearlitic steel. Strips are subjected to an incremental tensile plastic deformation interspersed with elastic unloading. The magnetic behavior is carried out along the tensile direction at different levels of applied stress after deformation. The figure below shows the typical evolution of the remanent magnetization. The figure highlights: (i) that the remanent magnetization increases with the applied stress to a maximum value then decreases; (ii) that the plastic strain at zero stress considerably reduces the remanent magnetization in a highly non-linear manner; (iii) that the behavior of the deformed material seems to be able to be obtained by a simple translation in the stress space of the behavior at the undeformed state. These results join some former results [6] and the interpretation of the effect of plastic deformations by Hubert & Lazreg [7]. Following this work, a magneto-elastic two-phase modeling of the magnetization is proposed. Plasticity is introduced as an internal stress state inherent with the plastic deformation of the two-phase material (so-called kinematic hardening). The associated mechanical state being multiaxial, an equivalent uniaxial state can be calculated, requiring the use of a new material coefficient making it possible to consider the effect of the pearlitic phase on the average behavior of the medium. It is shown that the translation in the stress space predicted by the model is consistent with the experimental values.References: [1] international patent CA2998095A1 [2] E. A. Fnaiech, M.Munschy, S. Corbineau, M. Marzin, P. Rohart, S. Takillah, “Large stand-off magnetometry (LSM) for buried pipeline inspection: Influence of dent depth on residual magnetic signal “, Pipeline Technology Conference, Berlin (2020) [3] R.M. Bozorth, Ferromagnetism, Wiley-IEEE press, (1993) [4] J.M. Makar, B.K. Tanner, J. Magn. Magn. Mater. 184, p.193 (1998) [5] O. Hubert, M. Clavel, I. Guillot, E. Hug, Jal Phys. IV, 9, p.207 (1999) [6] V.E. Iordache, E. Hug, N. Buiron, Mater. Sci. Eng. A 359, p.62 (2003) [7] O. Hubert, S. Lazreg, Journal of Magnetism and Magnetic Materials, 424 2, p.421 (2017)

Effect of plastic straining on the remanent magnetization of ferrite-pearlitic steel: experimental and modeling aspects

Magnetic flux leakage (MFL) is a widely used non-destructive method for the detection of defects and abnormalities in magnetic structures such as oil and gas steel tubes for health and condition monitoring [1]. MFL involves the application of a magnetizing field in close proximity to the inspected magnetic medium and measuring the resulting leakage magnetic fields from defects, which are key for the detection and characterization of defects. To understand the correlation between the measured fields and physical defects dimensions, leakage fields are conventionally modeled for simple defect shapes (such as rectangles [2] or cylinders [3,4]) using magnetic charge sheets representing the inner surfaces of the defect. This approach assumes uniform magnetic charges through the defect and ignores nonlinear saturation effects in the corners which makes characterization and sizing of defects from measured field distributions difficult and inaccurate. Frequency domain analysis of leakage fields in MFL provide an alternative and less explored method for characterization of defects. The spectrum of the leakage magnetic fields in MFL was recently derived for rectangular defects based on magnetic charge sheets [5,6]. This approach revealed spectral features that potentially enable more accurate sizing of defects from measured MFL signals compared to direct analysis of spatial field distributions. In this work the Fourier transforms of the leakage magnetic fields from rectangular and tilted two-dimensional defects are analytically derived using scalar magnetic potential theory and superposition [7,8]. This approach does not assume uniform magnetic charges through the defect surfaces. The scalar magnetic potential approach yielded closer agreement to more detailed finite-element calculations and published measurements, and used to assess the sensitivity and feasibility of the spectral sizing method for different defect geometries.References: [1] D. E. Bray and R. K. Stanley, Nondestructive Evaluation, Part IV: Magnetic Flux Leakage Techniques in Nondestructive Evaluation, Florida: CRC Press (1997). [2] N. Zatsepin and V. Shcherbinin, Defektoskopiya 5, 50 (1966). [3] C. Mandache and L. Clapham, J. Phys. D: Appl. Phys. 36, 2427 (2003). [4] S. M. Dutta, F. H. Ghorbel, and R. K. Stanley, IEEE Trans. Magn. 45, 1959 (2009). [5] Li E, Kang Y, Tang J, Wu J, and Yan X, IEEE Trans. Magn. 54, 1 (2018). [6] M. M. Aziz, R. Abdulla, and M. Al-Dujaili, IEEE Mag. Lett. 10, 2102404 (2019). [7] M. M. Aziz, A. Edress, and C. D. Wright, IEEE Trans. Magn. 52, 3300712 (2016). [8] D. A. Lindholm, IEEE Trans. Magn. 12, 710 (1976). 

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Study of Mechanical Resonance Induced by Magnetostriction in Closed Structures Based on Fe-Si

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