Cellular and dendritic growth: Part II. Theory

Miyata, Yasunori; Suzuki, Toshio

doi:10.1007/bf02670368

Cited by 12 publications

(3 citation statements)

References 8 publications

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“…Equation (13) shows that, beyond constitutional undercooling, the cell growth-undercooling decreases with increasing V; opposite to the case of isolated dendrites. Miyata et al [413,414] experimentally determined structural features such as tip radii, spacings and compositions of cells and dendrites in Al-Cu alloy. Their results were compared with a theoretical model for an isolated dendrite or cell.…”

Section: Cellular Growthmentioning

confidence: 99%

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Progress in modelling solidification microstructures in metals and alloys: dendrites and cells from 1700 to 2000

Kurz

Fisher

Trivedi

2018

International Materials Reviews

155

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This is the first account of the history of our understanding of, and ability to model, solidification microstructures. Its objective is to retrace the scientific steps made, from the earliest observations of the eighteenth century to our present-day understanding of dendrites and eutectics. Because of the abundance of information, especially that added during the present century, sub-division was essential: this being the first of three articles. They cover dendrites and cells from 1700 to 2000, and then from 2001 to 2015 and finally eutectics and peritectics from 1700 to 2015. The authors have striven always to identify the genesis of every advance made, being aware that such a compact history must leave many worthy contributions by the wayside; others will doubtless complete the history. This review shows how crossfertilisation between theory and experiment, and basic and applied research led to both the posing and answering of challenging fundamental questions, thus rewarding society with beneficial results.

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Section: Cellular Growthmentioning

confidence: 99%

“…Miyata et al. [413,414] experimentally determined structural features such as tip radii, spacings and compositions of cells and dendrites in Al–Cu alloy. Their results were compared with a theoretical model for an isolated dendrite or cell.…”

Section: Cellular Growthmentioning

confidence: 99%

Progress in modelling solidification microstructures in metals and alloys: dendrites and cells from 1700 to 2000

Kurz

Fisher

Trivedi

2018

International Materials Reviews

155

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“…To predict and control the microstructure, modeling constrained dendrite growth becomes quite important. In the early study, great concern was shown for local-equilibrium solidification [2][3][4][5][6][7][8][9][10][11]. Subsequently, much attention has been paid to rapidly directional solidification (e.g., laser and electron beam treatment, melt atomization, etc.…”

Section: Introductionmentioning

confidence: 99%

Modeling constrained dendrite growth in rapidly directional solidification

Tan

Wang

2012

J Mater Sci

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Incorporating the effect of nonlinear liquidus and solidus, a constrained dendrite growth model was established for rapidly directional solidification, where both the interface and the bulk liquid are under local nonequilibrium conditions. The effect of nonlinear liquidus and solidus was first introduced into the interface kinetics, based on which the marginal stability criterion was then derived. By this way, not only the temperature dependent equilibrium partition coefficient k e , equilibrium liquidus slope m l and equilibrium solidus slope m s but also the derivation of k e with temperature are considered. The model is more physically realistic than the works in which the effect of nonlinear liquidus and solidus is not incorporated into the interface kinetics and hence the temperature dependent m s is not embodied. Applying the model to rapidly directional solidification of Ag-15 wt% Cu alloy, the effects of nonlinear liquidus and solidus and local nonequilibrium on the constrained dendrite growth were studied.

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