Morphological stability of the solidification interface under convective conditions

Favier, J.J.; Rouzaud, A.

doi:10.1016/0022-0248(83)90145-8

Cited by 41 publications

(14 citation statements)

References 13 publications

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“…Even if for a sample thickness larger than ≃ 25 µm, tip shapes are three-dimensional [12], such thin samples correspond to a "confined 3D" configuration and the pattern will be referred to as 1D thereafter. Added to the relative simplicity of the experimental and optical systems in such a configuration, another major advantage is the drastic reduction of convection in the melt, which is known to strongly affect microstructural pattern formation [13][14][15][16][17]. Even if studies in thin samples have led to significant advances in understanding the dynamics of solidification, quantitative data extracted from thin samples often cannot be extrapolated to large 3D bulk samples [12,18,19].…”

Section: Introductionmentioning

confidence: 99%

Experimental observation of oscillatory cellular patterns in three-dimensional directional solidification

et al. 2017

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Section: Introductionmentioning

confidence: 99%

Experimental observation of oscillatory cellular patterns in three-dimensional directional solidification

et al. 2017

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“…[21] However, unlike the BPS boundary layer assumption used in the CHS criterion, they used a ''deformable'' boundary layer, i.e., one that became perturbed with the s/l interface. At low levels of convection, the CHS and FR criteria predict virtually identical results.…”

Section: B Convective Treatmentsmentioning

confidence: 99%

“…To explore the possibility that convection or anisotropic kinetics may have had an effect, FR's [21] criterion and CMC's [31] criterion for vicinal interfaces are considered as well.…”

Section: A Stability Criterion Formulationsmentioning

confidence: 99%

Enhanced Morphological Stability in Sb-Doped Ge

Deal

Balikci

Abbaschian

2007

Metall Mater Trans A

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The axial heat processing (AHP) crystal growth technique was used to investigate the morphological stability of faceted solid/liquid (s/l) interfaces. Six Sb-doped Ge single crystals containing 2.3 · 10 )2 to 2.3 · 10 )1 at. pct Sb were grown at pulling rates of 10 to 20 mm/h. These include two bicrystals specifically designed to investigate the effect of slight misorientation on stability. Faceted growth with a kinetic supercooling on the order of 0.15 K was achieved, and a characteristic two-dimensional W instability boundary, an inverted crater in three dimensions, was observed. The crystals exhibited enhanced morphological stability over the predictions of the constitutional supercooling (CS) criterion and the Mullins and Sekerka (MS) stability criterion, with the highest stability in the center of the W. These results are examined with current analytical stability theories accounting for convection and kinetics. An alternate model is proposed based on anisotropic kinetics and the competition between lateral spreading on a faceted interface and the amplification rate of an interfacial perturbation.

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“…It is well established that convection innucnccs the planuHo-cell ular tra nsition [1][2][3][4] and primary cellularl dendri tic spacings [5 -7). During directional solidifica tion (OS) the thermal profile in the melt provides stability against convection because the melt density decreases with increasing temperat ure.…”

Section: Introductionmentioning

confidence: 99%