journal article·2022-11Open access

Elastodiffusion calculation of asymptotic absorption efficiencies and bias factors of dislocations in Al, Ni and Fe

Liangzhao Huang, Maylise Nastar, Luca Messina, Thomas Schuler

Abstract

The elastic interactions between dislocations and lattice point defects (PDs) control the rate of PD elimination at dislocations, and thereby the PD spatial distribution within the microstructure. By relying on the Onsager formalism, we introduce a new partition of the PD diffusion driving force in a strain field. We present DFT-based calculations of straight and loop-form edge dislocation absorption efficiences and the resulting biases of vacancy and self-interstitial elimination in pure Fe, Ni, and Al metals. We highlight the effects of the dislocation density, the temperature and the dislocation orientation on the elastodiffusion behavior and the resulting PD redistribution near dislocations. Based on a detailed study of the sensitivity of absorption efficiencies to the boundary conditions, i.e., the capture radius and the associated PD concentrations, we introduce the notion of asymptotic absorption efficiencies and bias.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Microstructure and mechanical properties · High Temperature Alloys and Creep · Intermetallics and Advanced Alloy Properties

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

References (51)

Show source-provided references
1. Theory of dislocations (2nd ed.)10.1115/1.3167075 ↗
2. Point defect modeling in materials: coupling ab initio and elasticity approaches10.1103/PhysRevB.88.134102 ↗
3. Elastic modeling of point-defects and their interaction10.1016/j.commatsci.2018.01.053 ↗
4. Dislocation climb forces10.1063/1.1709423 ↗
5. The role of vacancies and dislocations in the nucleation and growth of gas bubbles in irradiated fissile material10.1016/0022-3115(59)90030-3 ↗
6. Voids in irradiated stainless steel10.1038/216575a0 ↗
7. The rate theory of swelling due to void growth in irradiated metals10.1016/0022-3115(72)90091-8 ↗
8. Point defect behaviour in irradiated materials10.1016/0001-6160(75)90148-0 ↗
9. A critical test of the classical rate theory for void swelling10.1016/j.jnucmat.2004.01.026 ↗
10. Effect of saddle point anisotropy of point defects on their absorption by dislocations and cavities10.1016/j.actamat.2017.07.013 ↗
11. Phase-field calculations of sink strength in Al, Ni, and Fe: a detailed study of elastic effects
12. The Peach–Koehler equation for the force on a dislocation modified for hydrostatic pressure10.1080/14786436508224930 ↗
13. Anisotropic diffusion in stress fields10.1103/PhysRevB.17.2524 ↗
14. Reciprocal relations in irreversible processes. I10.1103/PhysRev.37.405 ↗
15. Allnatt · 1993
16. Reciprocal relations in irreversible processes. II10.1103/PhysRev.38.2265 ↗
17. Diffusivity and derivatives for interstitial solutes: activation energy, volume, and elastodiffusion tensors10.1080/14786435.2016.1212175 ↗
18. Modelling diffusion in crystals under high internal stress gradients10.1088/0965-0393/12/5/003 ↗
19. Fundamental properties of defects in metals
20. Carpentier · 2018
21. On the diffusion process of point defects in the stress field of edge dislocations10.1002/pssa.2210460213 ↗
22. Stress-induced anisotropic diffusion in alloys: complex Si solute flow near a dislocation core in Ni10.1103/PhysRevB.88.134108 ↗
23. Mesoscale modeling of vacancy-mediated Si segregation near an edge dislocation in Ni under irradiation10.1103/PhysRevB.95.144107 ↗
24. KineCluE: a kinetic cluster expansion code to compute transport coefficients beyond the dilute limit10.1016/j.commatsci.2019.109191 ↗
25. Predicting dislocation climb: classical modeling versus atomistic simulations10.1103/PhysRevB.84.092106 ↗
26. C. Woo, W. Liu, M. Wuschke, A finite-difference calculation of point defect migration into a dislocation loop, 1979https://inis.iaea.org/search/search.aspx?orig_q=RN:11558103.
27. The interaction energy between interstitial atoms and dislocations and its relevance to irradiation damage processes
28. Radius dependence of the sink strength of a dislocation loop
29. Numerical evaluation of the dislocation loop bias10.1016/j.jnucmat.2004.07.034 ↗
30. The dislocation bias10.1007/s10820-007-9051-3 ↗
31. Influence of dislocation and dislocation loop biases on microstructures simulated by rate equation cluster dynamics10.1016/j.jnucmat.2015.09.046 ↗
32. On the estimation of sink-absorption terms in reaction-rate-theory analysis of radiation damage10.1016/0022-3115(78)90026-0 ↗
33. The dilatational strain field associated with edge dislocations and edge dislocation walls based on anisotropic elasticity10.1016/0001-6160(62)90145-1 ↗
34. Dislocation bias factors in fcc copper derived from atomistic calculations10.1016/j.jnucmat.2013.06.029 ↗
35. Steady-state diffusion of point defects to dislocation loops10.1016/0375-9601(77)90355-3 ↗
36. Exact ab initio transport coefficients in bcc Fe–X (X = Cr, Cu, Mn, Ni, P, Si) dilute alloys10.1103/PhysRevB.90.104203 ↗
37. Ab initio-based diffusion theory and tracer diffusion in Ni-Cr and Ni-Fe alloys10.1016/j.jnucmat.2010.08.003 ↗
38. Development of new interatomic potentials appropriate for crystalline and liquid iron10.1080/14786430310001613264 ↗
39. Kittel · 2004
40. Solute diffusion by self-interstitial defects and radiation-induced segregation in ferritic Fe-X (X = Cr, Cu, Mn, Ni, P, Si) dilute alloys10.1016/j.actamat.2020.03.038 ↗
41. Equilibrium concentration of interstitials in aluminum just below the melting temperature10.1016/j.msea.2003.08.077 ↗
42. Diffusion in non-uniform crystals10.1016/0025-5416(72)90018-3 ↗
43. Diffusion of vacancies and interstitials to edge dislocations10.1063/1.322710 ↗
44. Effect of anisotropy, SIA orientation, and one-dimensional migration mechanisms on dislocation bias calculations in metals10.1016/j.jnucmat.2013.02.083 ↗
45. Assessment of the dislocation bias in fcc metals and extrapolation to austenitic steels10.1016/j.jnucmat.2015.05.042 ↗
46. Theory of Dislocations
47. Introducing dislocation climb by bulk diffusion in discrete dislocation dynamics10.1080/14786430801992850 ↗
48. Dislocation dynamics simulations with climb: kinetics of dislocation loop coarsening controlled by bulk diffusion10.1080/14786435.2011.573815 ↗
49. Enhanced annealing of the dislocation network under irradiation10.1103/PhysRevB.84.014115 ↗
50. Predicting dislocation climb and creep from explicit atomistic details10.1103/PhysRevLett.105.095501 ↗
51. Nastar · 2020 · vol. 1