Zero-Shrinkage Whisker Fraction in Ceramic Matrix-Ceramic Whisker Composites

1989 ◽  
Vol 155 ◽  
Author(s):  
Elizabeth A. Holm ◽  
M. J. Cima

ABSTRACTA Monte Carlo computer simulation that percolates soft-core, pseudographic whiskers in a discrete matrix has been developed, and two- and three-dimensional whisker percolation thresholds were determined for various whisker aspect ratios. The percolation thresholds were found to agree with the predictions of the excluded volume theory of percolation; moreover, the thresholds were found to coincide with the zero-shrinkage whisker fraction in ceramic matrix-ceramic particle composites.

2012 ◽  
Vol 61 (4) ◽  
pp. 045204
Author(s):  
Yang Chao ◽  
Liu Da-Gang ◽  
Wang Xiao-Ming ◽  
Liu La-Qun ◽  
Wang Xue-Qiong ◽  
...  

1991 ◽  
Vol 248 ◽  
Author(s):  
Arlette R. C. Baljon ◽  
Thomas A. Witten

AbstractWe have developed a Monte-Carlo computer simulation to study associating polymer interactions. In our model we treat the associations as geometrical constraints. Each polymer chain contains two‘stickers’. The chains are treated as lattice selfavoiding random walks. Each sticker is constrained to be adjacent to one other sticker, but the stickers are free to exchange partners. This freedom to exchange results in an attraction between the chains, as anticipated by Cates and Witten.1 We find that in equilibrium the mutual excluded volume of two such chains passes from repulsive to attractive when the ratio of the sticker distance to the chain length is approximately 0.8. These results are independent of the chain length: they should apply to real polymers subject to these topological constraints in any good solvent at sufficiently high molecular weight.


1997 ◽  
Vol 106 (4) ◽  
pp. 1593-1599 ◽  
Author(s):  
Aleksey Vishnyakov ◽  
Elena M. Piotrovskaya ◽  
Elena N. Brodskaya

1999 ◽  
Vol 60 (4) ◽  
pp. 3053-3057 ◽  
Author(s):  
Şakir Erkoç ◽  
Riad Shaltaf

Author(s):  
Nikolaos A. Gatsonis ◽  
Wael G. Al Kouz ◽  
Ryan E. Chamberlin

The supersonic flow of nitrogen into a nanochannel is investigated using a three dimensional unstructured Direct Simulation Monte Carlo (U3DSMC) method. The U3DSMC code is validated by comparisons with previous 2D DSMC simulations of flows in micron-scale channels. Rectangular nanochannels with heights between 100 nm to 1000 nm, and aspect ratios L/H of 1, 10, 100 are used in the U3DSMC investigation. The Mach 5.9 freestream has a pressure of 0. 1atm and Knudsen numbers of 0.481, 0.962 and 4.81. The nanochannel walls are assumed to be diffusively reflecting at the freestream temperature. The simulations show the development of a disturbance region upstream from the inlet that depends on the Knudsen number. For the L/H = 10 and L/H = 100 nanochannels considered the velocity decreases from its freestream value velocity decreases from its freestream value and becomes subsonic inside the nanochannel. The temperature shows an enhancement region near the inlet while the density shows an enhancement region inside the nanochannel.


Sign in / Sign up

Export Citation Format

Share Document