Predicting fiber contact in a three-dimensional model of paper

被引：8

作者：

Gates, DJ ^{[1
]}

Westcott, M ^{[1
]}

机构：

[1] CSIRO, Canberra, ACT 2601, Australia

来源：

JOURNAL OF STATISTICAL PHYSICS | 1999年 / 94卷 / 1-2期

关键词：

paper structure; fiber physics; relative bonded area; random sets; geometric probability;

D O I：

10.1023/A:1004503111067

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a new methodology for the mathematical analysis of 3D paper structure and apply it to a model that can be simulated on a computer. We rigorously derive upper and lower bounds for fiber contact areas, and derive an approximation that is very close to values calculated from the simulations. The method involves the stochastic geometry and combinatorics of large numbers of randomly located sets, which quantify the interactions between fibers. The main calculation involves a sum resembling a partition function with many-body interactions of all orders.

引用

页码：31 / 52

页数：22

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