scholarly journals Phase-Field Modeling for the Three-Dimensional Space-Filling Structure of Metal Foam Materials

2015 ◽  
Vol 03 (03) ◽  
pp. 120-125 ◽  
Author(s):  
Takuya Uehara
Keyword(s):  
Phase Field ◽  
Metal Foam ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Phase Field Modeling ◽  
Space Filling ◽  
Field Modeling ◽  
Structure Of Metal ◽  
Three Dimensional Space

scholarly journals Three-dimensional phase field modeling of inhomogeneous gas-liquid systems using the PeTS equation of state

2018 ◽  
Vol 149 (6) ◽  
pp. 064701 ◽  
Author(s):  
Felix Diewald ◽  
Michaela Heier ◽  
Martin Horsch ◽  
Charlotte Kuhn ◽  
Kai Langenbach ◽  
...  
Keyword(s):  
Equation Of State ◽  
Phase Field ◽  
Three Dimensional ◽  
Phase Field Modeling ◽  
Field Modeling ◽  
Liquid Systems ◽  
Inhomogeneous Gas

Three-dimensional phase-field modeling of mode I + II/III failure in solids

2021 ◽  
Vol 373 ◽  
pp. 113537
Author(s):  
Jian-Ying Wu ◽  
Yuli Huang ◽  
Hao Zhou ◽  
Vinh Phu Nguyen
Keyword(s):  
Phase Field ◽  
Three Dimensional ◽  
Mode I ◽  
Phase Field Modeling ◽  
Field Modeling

scholarly journals Three-dimensional phase-field modeling of spinodal decomposition in constrained films

2003 ◽  
Vol 9 (1) ◽  
pp. 61-66 ◽  
Author(s):  
D. J. Seol ◽  
S. Y. Hu ◽  
Y. L. Li ◽  
J. Shen ◽  
K. H. Oh ◽  
...  
Keyword(s):  
Spinodal Decomposition ◽  
Phase Field ◽  
Three Dimensional ◽  
Phase Field Modeling ◽  
Field Modeling

scholarly journals ON THE SAMPLING OF SERIAL SECTIONING TECHNIQUE FOR THREE DIMENSIONAL SPACE-FILLING GRAIN STRUCTURES

2011 ◽  
Vol 19 (2) ◽  
pp. 81 ◽  
Author(s):  
Guoquan Liu ◽  
Haibo Yu
Keyword(s):  
Size Distribution ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Low Carbon Steel ◽  
Steel Specimen ◽  
Low Carbon ◽  
Serial Sectioning ◽  
Space Filling ◽  
Almost All ◽  
Three Dimensional Space

Serial sectioning technique provides plenty of quantitative geometric information of the microstructure analyzed, including those unavailable from stereology with one- and two-dimensional probes. This may be why it used to be and is being continuously served as one of the most common and invaluable methods to study the size and the size distribution, the topology and the distribution of topology parameters, and even the shape of three-dimensional space filling grains or cells. On the other hand, requiring tedious lab work, the method is also very time and energy consuming, most often only less than one hundred grains per sample were sampled and measured in almost all reported practice. Thus, a question is often asked: for typical microstructures in engineering materials, are so many grains or cells sampled adequate to obtain reliable results from this technique? To answer this question, experimental data of 1292 contiguous austenite grains in a low-carbon steel specimen obtained from the serial sectioning analysis are presented in this paper, which demonstrates the effect of sampling on the measurement of various parameters of grain size distribution and of the grain topology distribution. The result provides one of rules of thumb for grain stereology of similar microstructures.

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