Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-01-07
Physical Review E 73, 011801 (2006)
Physics
Condensed Matter
Statistical Mechanics
RevTex, 6 pages including 7 eps figures
Scientific paper
10.1103/PhysRevE.73.011801
We have investigated the fractal characteristics and shape complexity of the fracture surfaces of swelled isotactic polypropylene Y1600 in supercritical carbon dioxide fluid through the consideration of the statistics of the islands in binary SEM images. The distributions of area $A$, perimeter $L$, and shape complexity $C$ follow power laws $p(A)\sim A^{-(\mu_A+1)}$, $p(L)\sim L^{-(\mu_L+1)}$, and $p(C)\sim C^{-(\nu+1)}$, with the scaling ranges spanning over two decades. The perimeter and shape complexity scale respectively as $L\sim A^{D/2}$ and $C\sim A^q$ in two scaling regions delimited by $A\approx 10^3$. The fractal dimension and shape complexity increase when the temperature decreases. In addition, the relationships among different power-law scaling exponents $\mu_A$, $\mu_B$, $\nu$, $D$, and $q$ have been derived analytically, assuming that $A$, $L$, and $C$ follow power-law distributions.
Cao Gui-Ping
Li Bin
Liu Tao
Yuan Wei-Kang
Zhao Ling
No associations
LandOfFree
Shape complexity and fractality of fracture surfaces of swelled isotactic polypropylene with supercritical carbon dioxide does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Shape complexity and fractality of fracture surfaces of swelled isotactic polypropylene with supercritical carbon dioxide, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shape complexity and fractality of fracture surfaces of swelled isotactic polypropylene with supercritical carbon dioxide will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-342846