Eutectic growth: A modification of the Jackson and Hunt theory

Magnin, P; Trivedi, R.

doi:10.1016/0956-7151(91)90114-g

Cited by 195 publications

(82 citation statements)

References 24 publications

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“…The concept of apparent primary undercooling comes of that of the apparent eutectic undercooling [34], and the primary undercooling is calculated taking into account the maximum recalescence temperature instead of the liquidus temperature. The eutectic growth theories [33,35] indicate that an increase in the operating undercooling during solidification promotes a finer eutectic microstructure, with narrow spacings between eutectic lamellae. It can be seen on Fig.…”

Section: Resultsmentioning

confidence: 99%

Change of solidification behaviors in the superheating Sn-40wt.%Bi alloy from the viewpoint of the relaxation of properties

Ding¹,

Li²,

Chen³

2021

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The effects of melt overheating treatment on solidification of Sn-Bi alloys are studied from the viewpoint of the relaxation of properties. The results reveal that the change trends of cooling rate, undercooling degree of the primary and eutectic nucleation and maximum solidification rates of primary phase of melts not undergoing the relaxation are contrary to those of melts undergoing the relaxation. However, the change of these parameters could not explain the change on the microstructures. The present paper suggests the increasing of the apparent primary undercooling during solidification can be used to describe the refinement of primary phase after melts undergoing the relaxation. Our study may open new possibilities for the control of solidification process, which governs the microstructure, mechanical and physical properties of solids.K e y w o r d s : structural relaxation, alloys, crystal growth

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Section: Resultsmentioning

confidence: 99%

Change of solidification behaviors in the superheating Sn-40wt.%Bi alloy from the viewpoint of the relaxation of properties

Ding¹,

Li²,

Chen³

2021

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“…A vertical Bridgman-type explicitly treated in most of the theoretical developments setup with a high-temperature gradient capability was used dealing with coupled growth. Magnin and Trivedi [9] have for the unidirectional solidification experiments. Both movintroduced this criterion in order to explain the spacing selecing-sample and moving-furnace configurations were used.…”

Section: Experimental Resultant Changes In the Growth Conditions mentioning

confidence: 99%

“…This is consistent with the crystallographic nature of the Zn crystal, the possible values of s 2 -l 1 and s for different l values in the range from Ϫ90 to ϩ90 deg, using Eqs. [7] to [9], which which has two specific growth axes, [0001] and [1010]. [17] It follows that, for a planar growth, the advancing plane will satisfy the mechanical-stability criterion.…”

Section: A Parametric Approach To Coupled Growth In An Anisotropic Symentioning

confidence: 99%

Aligned monotectic growth in unidirectionally solidified Zn-Bi alloys

Majumdar

Chattopadhyay

2000

Metall Mater Trans A

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The solidification morphology of the Zn-Bi monotectic alloy is studied through directional solidification processing. It is shown that the aligned growth depends on the crystallography of the solid-liquid interface. The best alignment of the monotectic liquid phase (L 2 ) occurs when the growth direction is [0001] Zn followed by that of [1010] Zn . Aligned growth could not be observed in other growth directions. A parametric approach is adopted, which incorporates the mechanical stability of the three phases at the growing interface and Derby and Favier's criterion for monotectic growth, derived from Jackson and Hunt theory of coupled growth, to identify the possible window of growth conditions and phase spacings where aligned growth is possible.

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“…Accordingly, its special heat can be obtained by Eq. (16). Then, the temperature change caused by released latent heat, DT *, may be given by Eq.…”

Section: Latent Heat Treatmentmentioning

confidence: 99%

“…The volume fraction of carbide in white eutectic was calculated according to the volume ratio of carbides about 48.5 percent in white eutectic. 16) …”

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confidence: 99%

Modeling of Stable and Metastable Eutectic Transformation of Spheroidal Graphite Iron Casting.

Zhao

Liu

2001

ISIJ International

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In this work, a mathematical model for stable and metastable transformation of SG cast iron, coupling with microsegregation of some elements and latent heat resulted from different phase formation, was presented. The quantitative experimental results of specimens obtained from a step-shape sample casting were compared with the simulation, and two results of nodular counts and sizes agreed quite well. For white eutectic growth in mottled SG iron, the frequent impingement of white eutectic with austenitegraphite bulks might suppress its growth remarkably and result in quite lower growth rate than that from the melt exclusively. Meanwhile, the relationship of morphology of carbides and solidification was discussed, and it was indicated that the growth of white eutectic and carbide morphology could also be predicted by solidification simulation. It was found that neglecting silicon microsegregation, if metastable transformation was advantageous to stable, the simulated carbide fraction was higher, and vice versa.KEY WORDS: spheroidal graphite cast iron; stable and metastable microstructure; eutectic transformation; modeling and simulation.ously, and may grow first freely and then surrounded by austenite shells. Considering the carbon diffusion and limited convection of liquid in front of liquid and graphite interface of Fig. 1, the growth rate of graphite spheres without austenite shell can be computed as follows:.... (5) where R t G is radii of graphite spheres (m) (superscript t and tϪdt are the calculation time) r l , and r G are densities of liquid and graphite (kg/m 3 ), D l C is diffusion coefficient of carbon in liquid (m 2 /s), C ළ l and C G are carbon content of initial liquid and graphite (%), C l * is carbon content of liquid in equilibrium with graphite and equals to C l/G approximately (Fig. 1), and d is thickness of carbon diffusion boundary layer in front of liquid-graphite interface (m).After the nodule was encapsulated by the austenite shell, its growth is dominated by the diffusion. 9) On the basis of carbon diffusion through the shell, the growth rates of bulks and graphite spheres were given as follows 10) :........... (6) ....... (7) where R g is radii of austenite shell of eutectic bulk, D C g is diffusion coefficient of carbon in austenite, r g is density of austenite, C g/l and C l/ g are carbon concentration of austenite and liquid in liquid-austenite interface respectively, and C g/G is carbon concentration of austenite in equilibrium with graphite.The growth of graphite spheres during eutectoid transformation could be determined by calculating the growth of ferrite shells with the model in the former research. 11)The growth of lamellar eutectic structure, such as ledeburite eutectic, was characterized by the well-known relationship 12,13) : where KЈ and KЉ are constants related materials properties, V is solidification rate (m/s). Because of crystal defects, the white eutectic grain often grows bending, and eventually becomes spherical. Therefore, the white eutectic was usually simplified ...

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Eutectic growth: A modification of the Jackson and Hunt theory

Cited by 195 publications

References 24 publications

Change of solidification behaviors in the superheating Sn-40wt.%Bi alloy from the viewpoint of the relaxation of properties

Change of solidification behaviors in the superheating Sn-40wt.%Bi alloy from the viewpoint of the relaxation of properties

Aligned monotectic growth in unidirectionally solidified Zn-Bi alloys

Modeling of Stable and Metastable Eutectic Transformation of Spheroidal Graphite Iron Casting.

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