Linear morphological stability analysis of the solid-liquid interface in rapid solidification of a binary system

Galenko, Peter; Danilov, Denis

doi:10.1103/physreve.69.051608

Cited by 71 publications

(40 citation statements)

References 43 publications

(135 reference statements)

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“…Rapid solidification of metals and alloys has been a long-term research subject in the fields of condensed matter physics and materials science [1][2][3][4][5][6][7][8]. Studying the rapid crystal growth is of great value to reveal the relationship between solidification microstructures and experimental conditions.…”

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confidence: 99%

Dendritic growth and solute trapping in rapidly solidified Cu-based alloys

Song

Dai

Wei

2011

Sci. China Phys. Mech. Astron.

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Rapid solidification of binary Cu-22%Sn peritectic alloys and Cu-5%Sn-5%Ni-5%Ag quaternary alloys was accomplished by glass fluxing, drop tube and melt spinning methods. The undercooled, by glass fluxing method, Cu-22%Sn peritectic alloy was composed of (Cu) and (Cu 41 Sn 11 ) phases. If rapidly solidified in a drop tube, the alloy phase constitution changed from (Cu) and (Cu 41 Sn 11 ) phases into a single supersaturated (Cu) phase with the reducing of droplet diameter, and the maximum solubility of Sn in (Cu) phase extended to 22%. The Cu-5%Sn-5%Ni-5%Ag quaternary alloy was composed of (Cu) and (Ag) phases under the containerless processing condition in a drop tube, and the solute microsegregation of (Cu) phase was obvious. When the Cu-5%Sn-5%Ni-5%Ag quaternary alloy was solidified by melt spinning method, microsegregation was suppressed and solute trapping occurred. The experimental results show that the microstructures of primary (Cu) phase in the two alloys transfer from coarse dendrites into equiaxed grains with the increase of cooling rate and undercooling, which is accompanied by the grain refinement effect.Cu-based alloy, rapid solidification, dendritic growth, solute trapping PACS: 81.05. Bx, 81.30.Fb, 68.70.+w Rapid solidification of metals and alloys has been a long-term research subject in the fields of condensed matter physics and materials science [1][2][3][4][5][6][7][8]. Studying the rapid crystal growth is of great value to reveal the relationship between solidification microstructures and experimental conditions. Such relationship has important influence on the process optimization of crystal growth and the development of new materials.Rapid solidification can be accomplished by rapid quenching or undercooling technique. The glass fluxing method and drop tube technique, which would avoid the contamination from crucible walls and remove the heterogeneous nuclei, are important approaches to achieve the high undercooling of metallic melts. The melt spinning method ejects metallic melts onto the rapidly spinning roller by high pressure gas flow, and thereby the alloy melts can be be rapidly solidified due to the efficient convection heat transfer between the melt and roller.Dendrite is the most common microstructure during crystal growth. With the development of crystal growth research, the investigation of dendrite growth has also made good progress. Lipton et al. [9,10] established the LKT theory, which describes the inter-relationship of "undercooling-dendritic growth velocity-dendritic tip radius" by considering the solutal and thermal diffusion near the dendritic tip and the marginal stability of solid/liquid interface. Boettinger et al. [11] extended LKT to LKT/BCT model based on the solute trapping effect. Becker et al. [12] undertook an atomistic calculation of the magnitude and anisotropy of the interfacial free energy to analyze the relationship between composition and dendrite tip orientation. Schulze [13] has adopted an atomistic growth model that uses a kinetic Monte-Carlo tech...

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confidence: 99%

Dendritic growth and solute trapping in rapidly solidified Cu-based alloys

Song

Dai

Wei

2011

Sci. China Phys. Mech. Astron.

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“…An extended analysis of elevated growth rates for arbitrary Peclet numbers requires spe cial investigation of stability of high rate regimes of dendrite solidification. The derivation and analysis of the microscopic solvability condition for a high rate locally nonequilibrium regime of growth can be per formed in accordance with the theory developed in [45][46][47].…”

Section: Discussionmentioning

confidence: 79%

Selection of stable growth conditions for the parabolic dendrite tip in crystallization of multicomponent melts

Alexandrov

Pinigin

2013

Tech. Phys.

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Abstract-Free growth of a dendrite crystal in a stationary multicomponent melt is investigated. A mathe matical model of the process is developed and its analytic solution is constructed. A stability criterion is obtained for a 2D parabolic dendrite and the refined relation is derived for the growth rate of the dendrite tip taking into account the anisotropy of surface tension at the solid phase-melt interface. It is shown that the accumulation of impurity in the front of a dendrite makes it tip thinner and reduces its velocity. The theory contains limiting transitions to the familiar dendrite growth criteria for one component and binary systems.

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“…Using a similar strategy based on the theory of so-called extended irreversible thermodynamics, Sobolev (Ref 7) added the relaxation term to the equilibrium equation for concentration diffusion, to model alloy solidification as a hyperbolic process. And to simplify the problem, Sobolev and Galenko assumed a constant interface velocity at the solidification front, and so were able to obtain analytic solutions for planar and dendritic interfaces ( Ref 7,8,9).…”

Section: Introductionmentioning

confidence: 99%

The Effect of Undercooling on Solidification of YSZ Splats

Bussmann

Mostaghimi

2008

J Therm Spray Tech

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We consider the rapid solidification of a molten YSZ particle, by solving the so-called hyperbolic equations for heat and mass transfer. The hyperbolic model predicts the interface undercooling (due to thermal and solutal effects) and velocity as a function of time, as well as the yttria redistribution within the solid phase. Results are then compared to corresponding ones that we obtained from a parabolic model, to assess the extent to which YSZ solidification is influenced by nonequilibrium effects. Results indicate that these effects are limited to the early part of the solidification process when undercooling is most significant. At this stage, the interface velocity is unsteady, and solute redistribution is most evident. As solidification decelerates, the nonequilibrium effects wane and solidification can then be properly modeled as an equilibrium process.

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Linear morphological stability analysis of the solid-liquid interface in rapid solidification of a binary system

Cited by 71 publications

References 43 publications

Dendritic growth and solute trapping in rapidly solidified Cu-based alloys

Dendritic growth and solute trapping in rapidly solidified Cu-based alloys

Selection of stable growth conditions for the parabolic dendrite tip in crystallization of multicomponent melts

The Effect of Undercooling on Solidification of YSZ Splats

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