journal article·2019-05

Modeling grain boundary segregation by prediction of all the necessary parameters

Pavel Lejček, Siegfried Hofmann

Acta Materialia· Volume 170
Publisher page

Abstract

Abstract A thermodynamic model of equilibrium grain boundary segregation in real binary systems is proposed which is based on the prediction of all the necessary parameters. These parameters are (i) the standard enthalpy and (ii) the standard entropy of grain boundary segregation, both related to ideal behavior, as well as (iii) the Fowler binary interaction coefficient describing the real contribution. Application of the model is shown in detail for the example of iron-based binary systems and predictions are compared to data published in the literature.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Theoretical and Computational Physics · Metallurgical Processes and Thermodynamics · Microstructure and mechanical properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (64)

Show source-provided references
1. Hondros · 1996 · 1201
2. 2001
3. Brittle fracture of grain boundaries10.1023/B:INTS.0000028644.07075.4e ↗
4. Grain coarsening inhibited by solute segregation10.1016/S1359-6454(01)00338-X ↗
5. An approach to grain-boundary design for strong and ductile polycrystals
6. Lejček · 2010
7. Recent trends and open questions in grain boundary segregation10.1557/jmr.2018.230 ↗
8. Interfacial segregation and grain boundary embrittlement: an overview and critical assessment of experimental data and calculated results10.1016/j.pmatsci.2016.11.001 ↗
9. Why calculated energies of grain boundary segregation are unreliable when segregant solubility is low10.1016/j.scriptamat.2012.11.019 ↗
10. Ab-initio modelling of solute segregation energies to a general grain boundary10.1016/j.actamat.2017.04.024 ↗
11. Solute segregation and classification of [100] tilt grain boundaries in α-iron: consequences for grain boundary engineering10.1016/S1359-6454(03)00219-2 ↗
12. Thermodynamics of grain boundary segregation and applications to anisotropy, compensation effect and prediction10.1080/10408430801907649 ↗
13. Prediction of binary interaction coefficients in grain boundary segregation10.1002/sia.6452 ↗
14. A model for surface segregation in multicomponent alloys—part I: equilibrium segregation10.1016/0022-3697(88)90118-7 ↗
15. Lewis · 1923
16. McLean · 1957
17. Fowler · 1939
18. Grain boundary segregation10.1098/rspa.1973.0121 ↗
19. Grain boundary hardening and segregation in alpha iron-tin alloy10.1016/0001-6160(80)90135-2 ↗
20. Correlation between segregation enthalpy, solid solubility and interplanar spacing of Σ=5 tilt grain boundaries in α-iron10.1016/0956-716X(91)90011-O ↗
21. Grain boundary segregation diagrams of α-iron10.1007/BF00203606 ↗
22. Kubaschewski · 1982
23. 1973
24. Surface energy and solute strain energy effects in surface segregation10.1016/0039-6028(77)90462-9 ↗
25. Surface segregation in alloys of transition metals
26. Chemical compositions at alloy surfaces10.1103/PhysRevB.23.3756 ↗
27. Charge transfer effect on the surface segregation in binary alloys10.1016/S0079-6816(87)80010-2 ↗
28. Alloy surfaces: segregation, reconstruction and phase transitions10.1016/S0927-0256(99)00004-X ↗
29. Interstitial and substitutional solute segregation at individual grain boundaries of α-iron: data revisited10.1088/0953-8984/28/6/064001 ↗
30. Applied thermodynamics: grain boundary segregation10.3390/e16031462 ↗
31. Gottstein · 1999
32. Surface segregation in alloys
33. Surface segregation and its relation to grain boundary segregation
34. Grain boundary decohesion by sulfur segregation in ferromagnetic iron and nickel —a first-principles study10.2320/matertrans.47.2682 ↗
35. Decohesion of iron grain boundaries by sulfur or phosphorous segregation: first-principles calculations10.1103/PhysRevB.76.035418 ↗
36. First-Principles study on the grain boundary embrittlement of metals by solute segregation: Part I. Iron (Fe)-Solute (B, C, P, and S) systems10.1007/s11661-010-0381-5 ↗
37. First-Principles study on the grain boundary embrittlement of metals by solute segregation: Part II. Metal (Fe, Al, Cu)-Hydrogen (H) systems10.1007/s11661-010-0380-6 ↗
38. Multiscale thermodynamic analysis on fracture toughness loss induced by solute segregation in steel10.1080/14786435.2014.906757 ↗
39. Effect of solute interaction on interfacial segregation and grain boundary embrittlement in binary alloys10.1007/s10853-012-7048-0 ↗
40. Prediction of enthalpy and entropy of grain boundary segregation10.1002/sia.1203 ↗
41. Cotton · 1988
42. First-principles study of helium effect in a ferromagnetic iron grain boundary: energetics, site preference and segregation10.1016/j.nimb.2009.06.064 ↗
43. First-principles study of carbon segregation in bcc iron symmetrical tilt grain boundaries10.1016/j.actamat.2016.04.058 ↗
44. Massalski · 1996 · 135
45. Grain boundary segregation of elements of groups 14 and 15 and its consequences for intergranular cohesion of ferritic iron10.1007/s10853-017-0819-x ↗
46. Equilibrium segregation of phosphorus at grain boundaries of Fe–P, Fe–P–C, Fe–Cr–P, and Fe–Cr–C–P alloys10.1179/030634581790426877 ↗
47. Relation of ductile-to-brittle transition temperature to phosphorus grain boundary segregation for a Ti-stabilized interstitial free steel10.1016/j.msea.2011.08.002 ↗
48. Effect of phosphorus on Hall-Petch coefficient in ferritic steel10.2355/isijinternational.51.1169 ↗
49. On the effect of molybdenum in the embrittlement of phosphorus-doped iron10.1016/0001-6160(89)90156-9 ↗
50. Grain boundary segregation of antimony in iron base alloys and its effect on toughness10.1002/srin.199905633 ↗
51. Grain boundary segregation of antimony in α-iron: prediction and experiment10.1016/j.jallcom.2003.10.076 ↗
52. On the segregation behavior of tin and antimony at grain boundaries of polycrystalline bcc iron10.1016/j.apsusc.2015.12.020 ↗
53. Surface and grain boundary segregation on and in iron and steels10.2355/isijinternational.29.529 ↗
54. The embrittlement and de-embrittlement of grain boundaries in an Fe-Mn-Ni alloy due to grain boundary segregation of Mn10.1007/BF02649769 ↗
55. Effect of sulfur segregation and hydrogen charging on intergranular fracture of iron10.1016/0001-6160(83)90153-0 ↗
56. Effect of grain boundary segregation of interstitial elements on Hall-Petch coefficient in steels10.2320/matertrans.MA201314 ↗
57. 3D atom probe analysis on Nb and Mo segregation during recrystallization of α-Fe10.4028/www.scientific.net/MSF.467-470.949 ↗
58. Subnanometer scale study of segregation at grain boundaries in an Fe(Si) alloy10.1016/S1359-6454(98)00262-6 ↗
59. Hofmann · 2013
60. On the determination of surface composition in Auger electron spectroscopy10.1016/0039-6028(88)90049-0 ↗
61. Werner · 2011
62. Childs · 1995
63. Anisotropy of segregation at grain boundaries and surfaces10.1007/BF02586096 ↗
64. Quantitative electron spectroscopy of surfaces: a standard data base for electron inelastic mean free paths in solids10.1002/sia.740010103 ↗