Fractal dimension of wood surfaces from sorption isotherms

Abstract

SummaryIn this paper the method of fractal dimension is applied to characterize the wood surface by using water-sorption data. Three different methods are implemented to determine the fractal dimension. These methods are based on polymolecular sorption and capillary condensation and are found to estimate the fractal dimension in the range of 2.5-2.8. This implies that the estimation of the surface area of wood by determining the number of molecules of water corresponding to monolayer formation is not true. The surface in fact is far from two dimensional as being closer to a three dimensional one.

Evaluation of the effects of frozen storage on the microstructure of tilapia (Perciformes: Cichlidae) through fractal dimension method

“…Fractal dimension values were obtained by the box-counting method (Cross, 1997;Hatzikiriakos & Avramidis, 1994;Russ, 1994). The image was adjusted with a length-width ratio of 5:4 using Photoshop CS 3 software, and divided into square sub-boxes with a variable length denoted as ε.…”

Study on wood fracture parallel to the grains based on fractal geometry

“…Over the last nearly three decades, extensive studies on the applications of fractal geometry in the field of materials science and society have been conducted and becomes key research in the world. However, the applications of fractal geometry in wood began at 1990s, and focused on wood surfaces from sorption isotherms (Hatzikiriakos and Avramldis 1994), the process of water entering timber (Jose 1997;Qin et al 1999) and wood color variation (Liu and Furuno 2002). In recent years, researchers apply fractal to study microstructure of wood fracture surfaces.…”

Research on differentiated xylem cells based on fractal dimension

“…In the late 1990s, the fractal theory began to be applied in wood science research (Jose and Paulo 1997;Fan et al 1999). Fractal analysis provides a new means (Gao et al 2004;Fei et al 2007) of studying structure and physical properties (Hatzikiriakos and Avramidis 1994;Jose et al 1997;Avramidis 2001, 2003;Cao and Kamdem 2004;Tekleyohannes and Avramidis 2010) of wood. One of the first pure mathematical structures using fractal, self-similar construction was for the simulation of tree growth in so-called tree branching (Edelstein-Keshet and Ermentrout 1989;Ford et al 1990;Niklas 1986;Prusinkiewicz and Lindenmayer 1990).…”