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Large magneto-chemical-elastic coupling in highly magnetostrictive Fe-Ga alloys
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Applied Material Physics.
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Applied Material Physics.
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Applied Material Physics.
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Applied Material Physics.ORCID iD: 0000-0003-2832-3293
2013 (English)In: Applied Physics Letters, ISSN 0003-6951, E-ISSN 1077-3118, Vol. 103, no 23, 231903- p.Article in journal (Refereed) Published
Abstract [en]

The strong softening of the tetragonal shear elastic constant (C') is the main reason for the second magnetostriction peak observed in Fe100-xGax alloys. Here, we study the coupling between chemical order and magnetism with the aim to understand the origin of the elastic softening. We demonstrate that C' strongly depends on the degree of order of Ga atoms in alpha-Fe. The B-2 type ordering proves to have an important role on the elastic softening for x < 19%, whereas the extreme shear lattice softening and the anomalous temperature dependence of C' are found to be due to the strong magnetochemical coupling in the DO3 phase.

Place, publisher, year, edition, pages
2013. Vol. 103, no 23, 231903- p.
Keyword [en]
Chemical order, Degree of order, Elastic softening, Fe-Ga alloy, Shear elastic constants, Temperature dependence
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:kth:diva-140150DOI: 10.1063/1.4838657ISI: 000328634900024Scopus ID: 2-s2.0-84889823587OAI: oai:DiVA.org:kth-140150DiVA: diva2:689113
Funder
Swedish Research CouncilEU, European Research Council, 228074
Note

QC 20140120

Available from: 2014-01-20 Created: 2014-01-17 Last updated: 2017-06-13Bibliographically approved
In thesis
1. The Effect of Long Range Order on Elastic Properties of Alloys
Open this publication in new window or tab >>The Effect of Long Range Order on Elastic Properties of Alloys
2014 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Ab initio alloy theory, formulated within the exact muffin-tin orbitals method in combination with the coherent-potential approximation, is used to determine the effect of long range order on the elastic properties. The lattice parameters and single-crystal elastic constants of Cu3Au are calculated for different partially ordered structures ranging from the fully ordered L12 to the random face centered cubic lattice. Special attention is put on the chemical and magnetic effects and on the interplay between these two degrees of freedom.

For non-magnetic Cu3Au, it was found that the lattice parameters and single-crystal elastic constants follow a clear trend with the degree of chemical order: namely, C11 and C12 decrease slightly, whereas C44 remains nearly constant with increasing disorder. As none of the single-crystal elastic constants were modified significantly due to the long-range-order, the polycrystalline elastic moduli of Cu3Au also keep nearly constant upon ordering. The Debye temperature does not show a strong chemical order dependence either. Using the calculated Debye temperatures, we find that for the entropy change upon order-disorder transition varies between −0.018 kB and 0.022 kB, the upper value being surprisingly close to 0.023 kB observed in experiments.

However, some of the elastic constants of ferromagnetic Ni3Fe, adopting the same crystal lattice as Cu3Au, were affected considerably. For the lattice parameter a, the main effect of magnetism is concentrated in the chemically dis-ordered region, with long-range order parameter S below ∼ 0.6 and the effect gradually disappears with increasing S. In the ferromagnetic state, the lattice parameter is almost constant as a function of the degree of order. Out of the three single-crystal elastic constants, only C11 and C12 are found to be affected by magnetism in the ordered state, however, their combined effect results in a nearly constant bulk modulus as a function of S. C44 changes slightly with S and magnetic state. The tetragonal shear elastic constant C´ , the Young’s modulus E and the shear modulus G increase significantly with the degree of order in the ferromagnetic state, but the effect becomes weak as the system approaches the random regime. Especially the C´ shear elastic constant depends strongly on the magnetic state and the degree of order. As a result, the Zener anisotropy ratio C44/C´ and the Possion’s ratio are strongly affected by the long-range order in the ferromagnetic state. Nevertheless, the actual values for the Pugh ratio and the Cauchy pressure remain far from their critical values, indicating that the ductility of Ni3Fe is not influenced by the chemical/magnetic ordering. Interestingly, the ferromagnetic L12 system possesses ∼5.4% larger elastic Debye temperature than the paramagnetic one, which in turn has similar ΘD as the chemically disordered face centered cubic phase being in either ferro-or paramagnetic state. The implications of the chemical/magnetic order on the mechanical properties and order-disorder transition is discussed.

 

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2014. vi, 42 p.
Keyword
long-range order, elastic constant, alloys, magnetic
National Category
Condensed Matter Physics
Research subject
Industrial Engineering and Management
Identifiers
urn:nbn:se:kth:diva-152529 (URN)978-91-7595-276-5 (ISBN)
Presentation
2014-10-03, konferensrummet, Materialvetenskap, Kungliga Tekniska Högskolan, Brinellvägen 23, Stockholm, 10:00 (English)
Opponent
Supervisors
Note

QC 20140929

Available from: 2014-09-29 Created: 2014-09-26 Last updated: 2014-09-30Bibliographically approved
2. Ab initio prediction of the mechanical properties of alloys
Open this publication in new window or tab >>Ab initio prediction of the mechanical properties of alloys
2015 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

At the time of the 50th anniversary of the Kohn-Sham method, ab initio calculations based on density functional theory have formed an accurate, efficient, and reliable method to work on the properties of engineering materials. In this thesis, we use the exact muffin-tin orbitals method combined with the coherent-potential approximation to study the mechanical properties of high-technology materials. The thesis includes two parts: a study of long-range chemical order effects and a study of alloying effects on the mechanical properties of alloys. In the first part, we concentrate on the impact of chemical ordering on the mechanical properties. The long range order effect on the elastic constants behaves in a very different way for non-magnetic materials and ferromagnetic materials. For a non-magnetic Cu3Au, the long-range order effect on the elastic constants is very small. The Debye temperature does not show a strong chemical order dependence either. For a ferromagnetic material, on the other hand, the long-range chemical order produces considerable influence on C' in the ferromagnetic state, but negligible effect on C' in the paramagnetic state. The lattice parameter, bulk modulus $B$, and shear elastic constant C44 change slightly with the degree of long-rang order for both magnetic states. The Young's modulus E and the shear modulus G increase significantly with the degree of order in the ferromagnetic state, but the effect becomes weak as the system approaches the random regime.In the second part, the alloying effect of Mn/Ni on the lattice parameter, elastic constants, surface energy, and unstable stacking fault energy of bcc Fe is examined. The calculated results show that the lattice parameter of ferrite Fe is slightly altered upon Ni/Mn alloying the trend of which can be explained by the magnetism-induced pressure. Nickel addition decreases C' but has a negligible effect on C44, whereas manganese addition increases C44 and has a weak influence on C'. In both systems, the bulk modulus B shows a smooth second order variation. On the other hand, the surface energy and the unstable stacking fault (USF) energy decrease by adding Mn or Ni to Fe. For both planar fault energies, Ni shows a stronger effect than Mn. Segregation seems to have a minor effect on the surface and USF energies for dilute Fe-Ni and Fe-Mn alloys. The ductility can be estimated using available physical parameters via traditional phenomenological criteria like the Pugh ratio B/G, the Poisson ratio ν, the Cauchy pressure C12-C44, and the Rice ratio γsu .According to dislocation theory, a dislocation can not cross a grain boundary. Therefore, the study of dislocations is assumed to be limited to single-crystals. Several theoretical studies indicate that the cleavage plane is {001} in bcc crystals. Based on these information, we suggest that the resolved single-crystal tensile strength E[001] and the resolved single crystal shear strength G{110}<111> should be used to describe brittle cleavage and dislocation movement rather than polycrystalline parameters such as B and G. We demonstrate that all shear moduli G{lmn}<111> associated with the <111> Burgers vector take the same value 3C44C'/(C'+2C44), which could in fact explain the observed multiple slip in bcc systems. Due to the discrepancy between the resolved single-crystal elastic constants and the averaged polycrystalline elastic constants, the Pugh ratio B/G and the traditional criteria based on polycrystalline elastic constants lead to large differences for magnetic systems. Finally, we propose a new measure of the ductile-bittle behavior based on the ratio σclevage/Gresolved which gives the right experimental trend for Fe-Mn and Fe-Ni system.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2015. xii, 67 p.
National Category
Condensed Matter Physics
Research subject
Industrial Engineering and Management
Identifiers
urn:nbn:se:kth:diva-169511 (URN)978-91-7595-636-7 (ISBN)
Public defence
2015-08-26, Sal F3, Lindstedtsvägen 26, KTH, Stockholm, 10:00 (English)
Opponent
Supervisors
Note

QC 20150616

Available from: 2015-06-16 Created: 2015-06-15 Last updated: 2015-06-16Bibliographically approved

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