Journal ArticleDOI
Dendrite growth at the limit of stability: tip radius and spacing
Wilfried Kurz,D.J. Fisher +1 more
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TLDR
In this article, a general framework is proposed to relate tip radius, interface undercooling and primary arm spacing in alloy dendrite growth, and all the growth morphologies developed between the limiting morphology at low and at high velocity are described to a first approximation, using an ellipsoid of revolution.About:
This article is published in Acta Metallurgica.The article was published on 1981-01-01. It has received 899 citations till now. The article focuses on the topics: Directional solidification & Radius.read more
Citations
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Journal ArticleDOI
Steady state columnar and equiaxed growth of dendrites and eutectic
TL;DR: In this article, an analysis for the growth of equiaxed grains ahead of the columnar front during directional solidification is presented, and the model considers both single-phase and eutectic growth.
Book ChapterDOI
Theory of Microstructural Development during Rapid Solidification
Rohit Trivedi,Wilfried Kurz +1 more
TL;DR: In this article, some of the fundamental factors which play important roles in determining microstructures under rapid solidification condition are described, and it is shown that the interface stability analysis needs to be extended to include the possibility of high thermal as well as high solute undercoolings.
Journal ArticleDOI
Physical processes in fusion welding
Tarasankar Debroy,Stan A David +1 more
TL;DR: In recent years, major advances have taken place in our understanding of welding processes and welded materials because of the complexity of fusion welding processes, solution of many important contemporary problems in fusion welding requires an interdisciplinary approach as mentioned in this paper.
Journal ArticleDOI
Dendritic growth into undercooled alloy metals
TL;DR: In this article, a growth equation for free dendrites growing in a liquid alloy was developed by coupling their diffusion fields for a parabolic tip and by applying a stability criterion.
Journal ArticleDOI
Interdendritic Spacing: Part II. A Comparison of Theory and Experiment
TL;DR: In this article, a theoretical model based on the Hunt model is developed, and it is found that the theory adequately explains the variation in primary spacing, λ 1, with the growth rate,V.
References
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Journal ArticleDOI
Stability of a Planar Interface During Solidification of a Dilute Binary Alloy
W. W. Mullins,R. F. Sekerka +1 more
TL;DR: In this article, the stability of a moving planar liquid-solid interface during unidirectional freezing of a dilute binary alloy is theoretically investigated by calculating the time dependence of the amplitude of a sinusoidal perturbation of infinitesimal amplitude introduced into the planar shape.
Journal ArticleDOI
Theory of dendritic growth—i. elements of a stability analysis
J.S. Langer,H. Müller-Krumbhaar +1 more
TL;DR: In this paper, the maximum velocity principle was replaced by a stability criterion of the form υρ 2 = constant, where υ is the growth rate and ρ the tip radius of a dendrite.
Journal ArticleDOI
Dendritic growth-A test of theory
TL;DR: In this article, the axial growth rate of a freely growing dendrite can be expressed asV =βGΔθn, wheren and β are the exponent and prefactor derived from each theory, G is a lumped material parameter, and Δθ is the supercooling.
Journal ArticleDOI
Stability effects in dendritic crystal growth
J.S. Langer,J. Müller-Krumbhaar +1 more
TL;DR: In this article, the authors proposed a stability criterion of the form ǫ 2 = constant, where ʋ is the growth velocity and ρ is the tip radius, and they showed that dendrites which are too broad and slow suffer tip splitting instabilities, whereas those which are sharp and fast tend to broaden and slow down.