Computer simulations of the phase decomposition on Cu-Co binary alloys based on the non-linear diffusion equation

Miyazaki, T.; Takeuchi, Akira; Koyama, Toshiyuki

doi:10.1007/bf01105056

Cited by 12 publications

(3 citation statements)

References 13 publications

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“…The wavelength and amplitude are common parameters to describe spinodally decomposed alloys [61,62]. For the Cu-Co system, a decomposition on a very small length scale of less than 2 nm during annealing at 450°C is theoretically predicted [63,64]. Although the 1D-concentration profiles from the modulated regions can, in principle, provide the wavelength and amplitude of spinodal decomposition, it is difficult to align the 1D profile along the spinodal propagation.…”

Section: Discussionmentioning

confidence: 99%

Phase separation of a supersaturated nanocrystalline Cu–Co alloy and its influence on thermal stability

et al. 2015

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The thermal decomposition behavior, the microstructural evolution and its influence on the mechanical properties of a supersaturated Cu-Co solid solution with ~100 nm average grain size prepared by severe plastic deformation is investigated under non-isothermal and isothermal annealing conditions. Pure fine-grained Cu and Co exhibit substantial grain growth upon annealing, whereas the Cu-Co alloy is thermally stable at the same annealing temperatures. The annealed microstructures are studied by independent characterization methods, including scanning electron microscopy, electron energy loss spectroscopy and atom probe tomography. The phase separation process in the Cu-Co alloy proceeds by the same mechanism, but on different length scales: a fine scaled spinodal-type decomposition is observed in the grain interior, simultaneously Co and Cu regions with a larger scale are formed near the grain boundary regions. Subsequent grain growth at higher annealing temperatures results in a microstructure consisting of the pure equilibrium phases. Such mechanisms can be used to tailor nano structures to optimize certain properties. Published in

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Section: Discussionmentioning

confidence: 99%

Phase separation of a supersaturated nanocrystalline Cu–Co alloy and its influence on thermal stability

et al. 2015

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“…11,12 Analytical research has addressed the nonlinearity of the equation, [13][14][15] but today computers are capable of calculating the full diffusion equation. The kinetics of decomposition have been simulated, [16][17][18] with some recent work based on the Onsager equation. 19,20 Much experimental work on the Fe-Cr system has addressed spinodal decomposition, owing to its correlation with the brittleness of ferritic stainless steels.…”

Section: Introductionmentioning

confidence: 99%

Vibrational entropy of spinodal decomposition in FeCr

2005

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Inelastic neutron-scattering spectra were measured on stoichiometric Fe 0.50 Cr 0.50 prepared as a bodycentered-cubic ͑bcc͒ solid solution, and after increasing amounts of chemical unmixing on the bcc lattice induced by annealing the solid solution at 773 K. These spectra were reduced by a conventional procedure to a neutron-weighted vibrational density of states. Mössbauer spectrometry was used to characterize the extent of decomposition after annealing. A neutron-weight correction was performed, using results from the Mössbauer spectra and recent data on inelastic nuclear resonant scattering from 57 Fe-Cr. The vibrational entropy of decomposition was found to be −0.17± 0.01k B / atom, nearly equal to the change in configurational entropy after spinodal decomposition. Effects of vibrational entropy on the thermodynamics of unmixing are analyzed, showing a large effect on the free energy with the formation of Cr-rich zones, and a large effect on the critical temperature for spinodal decomposition for equiatomic Fe 0.50 Cr 0.50 .

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“…Typical examples of conserved variables are composition variables like molar fractions or concentrations. Such representations have been widely used for spinodal decomposition [45,46], phase separation of the decomposed structure [47,48,49,50] and precipitation and growth of precipitates [51,52]. Order parameters and phase-fields are examples of non-conserved variables that are used to distinguish coexisting phases with different structures.…”

Section: Variational Phase Field Modelsmentioning

confidence: 99%

A Unified Poisson-Cahn Methodology for Defect Segregation Near Grain Boundaries in Oxygen-Conducting Solid Electrolytes

Tong¹

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Computer simulations of the phase decomposition on Cu-Co binary alloys based on the non-linear diffusion equation

Cited by 12 publications

References 13 publications

Phase separation of a supersaturated nanocrystalline Cu–Co alloy and its influence on thermal stability

Phase separation of a supersaturated nanocrystalline Cu–Co alloy and its influence on thermal stability

Vibrational entropy of spinodal decomposition in FeCr

A Unified Poisson-Cahn Methodology for Defect Segregation Near Grain Boundaries in Oxygen-Conducting Solid Electrolytes

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