Modelling of copper precipitation in iron during thermal aging and irradiation

A model is developed to describe the microstructure evolution during aging a Fe-Cu alloy. The precipitation process during aging a predeformed Fe-1.5 wt pct Cu is calculated and the kinetic details of aging are discussed. The model is satisfactorily tested by comparing with the reported experimental results. The numerical results demonstrate that the nucleation of the precipitates occurs on dislocations first. However, the maximum nucleation rate of the precipitates in the matrix is much higher than that on dislocations and it is not affected by the appearance of dislocations. Only a small fraction of precipitates locate on dislocations immediately after nucleation. The particles in the matrix dissolve preferentially during coarsening, and most of the remained precipitates locate on dislocations in an overaged sample. Dislocations have little effect on the number density and average radius of the precipitates in the late stage of aging, although they promote the beginning of precipitation in the early stage of aging. The heating rate of the specimen almost does not affect the summit of the particle number density as well as its corresponding mean particle radius.

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“…These equations are solved by using the tridiagonal matrix algorithm. [25] C bcc me is calculated by [26,27] C bcc me ¼ exp…”

Section: A Numerical Methodsmentioning

confidence: 99%

“…S nc =k B and X=k B are taken as 3 and 7910 K (7637°C), respectively. [26] C 9R me and C bcc me are related to each other by [5] …”

Section: A Numerical Methodsmentioning

confidence: 99%

Modeling of the Precipitation Kinetics During Aging a Predeformed Fe-Cu Alloy

Zhao

Wang

et al. 2011

Metall Mater Trans A

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“…2 n 2/3 + nφ p Cu (23) where N 0 is the total number of point defects in the system, φ m Cu is the Gibbs potential one of that in the matrix, φ p Cu is the free energy of a defect in the precipitate, and γ the interfacial energy. Minimization of the free energy with respect to n variation, ∂Φ th Cu /∂n = 0, is known to result in the classical thermal equilibrium concentration of point defects, which depends exponentially on T and n:…”

Section: Quodon-induced Solubility Limit Changementioning

confidence: 99%

Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids Under Irradiation

Dubinko

Шаповалов

2013

Nonlinear Systems and Complexity

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Rate theory of the radiation-induced precipitation in solids is modified with account of non-equilibrium fluctuations driven by the "gas" of lattice solitons (a.k.a. "quodons") produced by irradiation. According to quantitative estimations, a steady-state density of the quodon gas under sufficiently intense irradiation can be as high as the density of phonon gas. The quodon gas may be a powerful driver of the chemical reaction rates under irradiation, the strength of which exponentially increases with irradiation flux and may be comparable with strength of the phonon gas that exponentially increases with temperature. The modified rate theory is applied to modelling of copper precipitation in FeCu binary alloys under electron irradiation. In contrast to the classical rate theory, which disagrees strongly with experimental data on all precipitation parameters, the modified rate theory describes quite well both the evolution of precipitates and the matrix concentration of copper measured by different methods.

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“…to understand the formation mechanism of defects and solute clusters responsible for the hardening and embrittlement of steels under neutron irradiation [43]. They have been recently extended and applied to precipitation in cubic alloys and the irradiation growth of hexagonal metal systems.…”

Section: Multiscale Modeling Of Thermodynamics and Kinetics Under Irrmentioning

confidence: 99%

Advanced Computational Materials Science: Application to Fusion and Generation IV Fission Reactors (Workshop Report)

Stoller¹

2004

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Modelling of copper precipitation in iron during thermal aging and irradiation

Cited by 80 publications

References 12 publications

Modeling of the Precipitation Kinetics During Aging a Predeformed Fe-Cu Alloy

Modeling of the Precipitation Kinetics During Aging a Predeformed Fe-Cu Alloy

Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids Under Irradiation

Advanced Computational Materials Science: Application to Fusion and Generation IV Fission Reactors (Workshop Report)

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