Numerical modeling of cellular/dendritic array growth: spacing and structure predictions

Hunt, J. D.; Lu, Shu-Zu

doi:10.1007/bf02648950

Cited by 430 publications

(238 citation statements)

References 23 publications

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“…6(c), the primary γ-dendrite spacing decreases with increasing withdrawal rate, consistent with the relationship in Hunt's primary spacing model [17]. Fig.…”

Section: Microstructure Evolution During Directional Solidificationsupporting

confidence: 83%

Microstructure evolution in grey cast iron during directional solidification

Ding

Feng

et al. 2017

Int J Miner Metall Mater

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Abstract:The solidification characteristics and microstructure evolution in grey cast iron were investigated through Jmat-Pro simulations and quenching performed during directional solidification. The phase transition sequence of grey cast iron was determined as L → L + γ → L + γ + G → γ + G → P (α + Fe 3 C) + α + G. The graphite can be formed in three ways: directly nucleated from liquid through the eutectic reaction (L → γ + G), independently precipitated from the oversaturated γ phase (γ → γ + G), and produced via the eutectoid transformation (γ → G + α). The area fraction and length of graphite as well as the primary dendrite spacing decrease with increasing cooling rate. Type-A graphite is formed at a low cooling rate, whereas a high cooling rate results in the precipitation of type-D graphite. After analyzing the graphite precipitation in the as-cast and transition regions separately solidified with and without inoculation, we concluded that, induced by the inoculant addition, the location of graphite precipitation changes from mainly the γ interdendritic region to the entire γ matrix. It suggests that inoculation mainly acts on graphite precipitation in the γ matrix, not in the liquid or at the solid-liquid front.

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“…6(c), the primary γ-dendrite spacing decreases with increasing withdrawal rate, consistent with the relationship in Hunt's primary spacing model [17]. Fig.…”

Section: Microstructure Evolution During Directional Solidificationsupporting

confidence: 83%

Microstructure evolution in grey cast iron during directional solidification

Ding

Feng

et al. 2017

Int J Miner Metall Mater

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“…Nowadays these alloys are supplied in a wide range of chemical compositions [1][2][3][4][5][6][7][8][9][10][11][12]. We highlight the Al-Cu-Si ternary system because of particular outstanding properties such as high mechanical strength, low weight and very good fluidity [3][4][5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…The morphology of as-cast microstructures, characterized mainly by cellular and dendritic patterns, and their scales represented by primary, secondary and tertiary arm spacings (1, 2 and 3, respectively) control the segregation profiles and the formation of secondary phases within intercellular and interdendritic regions, which determine the final properties of castings [1,2]. This is known that the values of 1, 2 and 3 are strongly influenced by solidification thermal parameters such as growth rate (VL) and cooling rate (TR) [1,2,3,[7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…This is known that the values of 1, 2 and 3 are strongly influenced by solidification thermal parameters such as growth rate (VL) and cooling rate (TR) [1,2,3,[7][8][9][10][11][12]. Several directional solidification studies have been reported in the literature to characterize and quantify these parameters as a function of solute concentration C0, VL and TR.…”

Section: Introductionmentioning

confidence: 99%

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Influence of upward and horizontal growth direction on microstructure and microhardness of an unsteady-state directionally solidified Al-Cu-Si alloy

et al. 2016

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In order to analyze the effect of the growth direction on dendrite arm spacing (1) and microhardness (HV) during horizontal directional solidification (HDS), experiments were carried out with the Al-3wt.%Cu-5.5wt.%Si alloy and the results compared with others from the literature elaborated for upward directional solidification (UDS). For this purpose, a water-cooled directional solidification experimental device was developed, and the alloy investigated was solidified under unsteady-state heat flow conditions. Thermal parameters such as growth rate (VL) and cooling rate (TR) were determined experimentally and correlations among VL, TR, 1 and HV has been performed. It is observed that experimental power laws characterize 1 with a function of VL and TR given by: 1=constant(VL) -1.1 and 1=constant(TR) -0.55 . The horizontal solidification direction has not affected the power growth law of 1 found for the upward solidification. However, higher values of 1 have been observed when the solidification is developed in the horizontal direction. The interrelation of HV as function of VL, TR and 1 has been represented by power and Hall-Petch laws. A comparison with the Al-3wt.%Cu alloy from literature was also performed and the results show the Si element affecting significativaly the HV values.

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“…Second, the planar solid-liquid interface may undergo the Mullins -Sekerka instability [2] which leads to the formation of cells and dendrites. Those patterns are described by shape parameters (primary and secondary spacings, tip radius …) and characteristic relationships have been proposed to relate the shape parameters to the processing conditions when the transport of heat and chemical species is dominated by diffusion [3]. Actually, natural buoyancy-driven convection often plays an important role in terrestrial solidification processing by interacting with the microstructure and modifying the relationships.…”

Section: Introductionmentioning

confidence: 99%