Transport properties of composites consisting of periodic arrays of exponentially graded cylinders with cylindrically orthotropic materials

2005 ◽  
Vol 98 (3) ◽  
pp. 033716 ◽  
Author(s):  
Tungyang Chen ◽  
Hsin-Yi Kuo
Keyword(s):  
Transport Properties ◽  
Orthotropic Materials ◽  
Periodic Arrays ◽  
Cylindrically Orthotropic ◽  
Exponentially Graded ◽  
Properties Of Composites

Optimal Percolation Thresholds of Two- and Three-Dimensional Engineering Composites

2012 ◽  
Vol 134 (3) ◽  
Author(s):  
X. Frank Xu
Keyword(s):  
Thin Films ◽  
Variational Method ◽  
Theoretical Prediction ◽  
Transport Properties ◽  
Three Dimensional ◽  
Engineering Applications ◽  
Aspect Ratios ◽  
Percolation Thresholds ◽  
Work Done ◽  
Properties Of Composites

Theoretical prediction of percolation thresholds universally applicable for various composites remains a major theoretical challenge. In the work done by Xu (2011, “Ellipsoidal Bounds and Percolation Thresholds of Transport Properties of Composites,” Acta Mech., 223, pp. 765–774), a variational method is developed to predict optimal percolation thresholds for transport properties of three dimensional composites subjected to full dispersion of fillers. In this paper, simplified formulae are provided for engineering applications of 3D composites. New formulae are derived for optimal percolation thresholds of 2D composites, i.e., laminates and thin films, and for composites containing a combination of fillers with different aspect ratios. The effects of dimensionality and waviness are especially discussed.

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