Statistical analysis of the disorder of two-dimensional cellular arrays in directional solidification

1991 ◽  
Vol 22 (12) ◽  
pp. 3041-3050 ◽  
Author(s):  
B. Billia ◽  
H. Jamgotchian ◽  
H. Nguyen Thi
Keyword(s):  
Statistical Analysis ◽  
Directional Solidification ◽  
Two Dimensional ◽  
Cellular Arrays

Directional solidification of cellular arrays in transparent alloys

2005 ◽  
Vol 16 (1-4) ◽  
pp. 116-119 ◽  
Author(s):  
L. Sturz ◽  
H. -J. Diepers ◽  
G. Zimmermann ◽  
S. Rex
Keyword(s):  
Directional Solidification ◽  
Cellular Arrays

scholarly journals Fibre attributes and mapping the cultivar influence of different industrial cellulosic crops (cotton, hemp, flax, and canola) on textile properties

2020 ◽  
Vol 7 (1) ◽  
Author(s):  
Ikra Iftekhar Shuvo
Keyword(s):  
Principal Component Analysis ◽  
Statistical Analysis ◽  
Principal Component ◽  
Textile Fibre ◽  
Two Dimensional ◽  
Production Engineering ◽  
Hemp Fibres ◽  
Likelihood Analysis ◽  
Microscopic Studies ◽  
And Function

Abstract Natural lignocellulosic fibres (NLF) extracted from different industrial crops (like cotton, hemp, flax, and canola) have taken a growing share of the overall global use of natural fibres required for manufacturing consumer apparels and textile substrate. The attributes of these constituent NLF determine the end product (textiles) performance and function. Structural and microscopic studies have highlighted the key behaviors of these NLF and understanding these behaviors is essential to regulate their industrial production, engineering applications, and harness their benefits. Breakthrough scientific successes have demonstrated textile fibre properties and significantly different mechanical and structural behavioral patterns related to different cultivars of NLF, but a broader agenda is needed to study these behaviors. Influence of key fibre attributes of NLF and properties of different cultivars on the performance of textiles are defined in this review. A likelihood analysis using scattergram and Pearson’s correlation followed by a two-dimensional principal component analysis (PCA) to single-out key properties explain the variations and investigate the probabilities of any cluster of similar fibre profiles. Finally, a Weibull distribution determined probabilistic breaking tenacities of different fibres after statistical analysis of more than 60 (N > 60) cultivars of cotton, canola, flax, and hemp fibres.

scholarly journals Directional solidification of a binary alloy into a cellular convective flow: localized morphologies

1999 ◽  
Vol 395 ◽  
pp. 253-270 ◽  
Author(s):  
Y.-J. CHEN ◽  
S. H. DAVIS
Keyword(s):  
Directional Solidification ◽  
Binary Alloy ◽  
Temporal Dynamics ◽  
Three Dimensional ◽  
Multiple Scale ◽  
Solute Diffusion ◽  
Two Dimensional ◽  
Morphological Instability ◽  
Flow Strength ◽  
Weakly Nonlinear

A steady, two-dimensional cellular convection modifies the morphological instability of a binary alloy that undergoes directional solidification. When the convection wavelength is far longer than that of the morphological cells, the behaviour of the moving front is described by a slow, spatial–temporal dynamics obtained through a multiple-scale analysis. The resulting system has a parametric-excitation structure in space, with complex parameters characterizing the interactions between flow, solute diffusion, and rejection. The convection in general stabilizes two-dimensional disturbances, but destabilizes three-dimensional disturbances. When the flow is weak, the morphological instability is incommensurate with the flow wavelength, but as the flow gets stronger, the instability becomes quantized and forced to fit into the flow box. At large flow strength the instability is localized, confined in narrow envelopes. In this case the solutions are discrete eigenstates in an unbounded space. Their stability boundaries and asymptotics are obtained by a WKB analysis. The weakly nonlinear interaction is delivered through the Lyapunov–Schmidt method.

Directional solidification of cellular arrays in a transparent organic alloy

2002 ◽  
Vol 29 (4) ◽  
pp. 511-520 ◽  
Author(s):  
S. Rex ◽  
B. Kauerauf ◽  
G. Zimmermann
Keyword(s):  
Directional Solidification ◽  
Cellular Arrays

Two-dimensional phase-field study of competitive grain growth during directional solidification of polycrystalline binary alloy

2016 ◽  
Vol 442 ◽  
pp. 14-24 ◽  
Author(s):  
Tomohiro Takaki ◽  
Munekazu Ohno ◽  
Yasushi Shibuta ◽  
Shinji Sakane ◽  
Takashi Shimokawabe ◽  
...  
Keyword(s):  
Field Study ◽  
Directional Solidification ◽  
Grain Growth ◽  
Binary Alloy ◽  
Phase Field ◽  
Two Dimensional
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