Shape complexity and fractality of fracture surfaces of swelled isotactic polypropylene with supercritical carbon dioxide

Simple item page
dc.creatorZhou, Wei-Xing
dc.creatorLi, Bin
dc.creatorLiu, Tao
dc.creatorCao, Gui-Ping
dc.creatorZhao, Ling
dc.creatorYuan, Wei-Kang
dc.date2005-01-07
dc.date.accessioned2026-07-07T06:25:17Z
dc.date.available2026-07-07T06:25:17Z
dc.descriptionWe 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 $p(A)\sim A^{-(μ_A+1)}$, $p(L)\sim L^{-(μ_L+1)}$, and $p(C)\sim C^{-(ν+1)}$, 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 $μ_A$, $μ_B$, $ν$, $D$, and $q$ have been derived analytically, assuming that $A$, $L$, and $C$ follow power-law distributions.
dc.descriptionRevTex, 6 pages including 7 eps figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0501135
dc.identifierhttp://arxiv.org/abs/cond-mat/0501135
dc.identifierPhysical Review E 73, 011801 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.011801
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96795
dc.subjectStatistical Mechanics
dc.subjectMaterials Science
dc.titleShape complexity and fractality of fracture surfaces of swelled isotactic polypropylene with supercritical carbon dioxide
dc.typetext

Files

Collections

arXiv