Study of correlation between the fractal dimension of wood anatomy structure and impact energy

Abstract: The work looks for relation between the fractal dimension of wood anatomy structure and impact energy. Although it is too early, this way of investigation provides interesting alternative to estimation of mechanical properties of the wood without using of destructive experimental tests. For that purpose the slight modification of common methods for experimental evaluation of fractal dimensions was performed. Modifications were compared on macroscopic scale of wood structure with validated Richardson method from other work [Strnadel, B., Severa, L., Němec, O., Buchar, J., 2001. On the use of fractal analysis in description of fracture surface of wood. Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, IL, No. 4, pp. 25–32] and applied for determination of fractal dimensions in three main directions on microscopic scale level of wood. Finally, the comparison of relation significance of impact energy and linear combination of those fractal dimensions was realized. The main purpose of the project rises from the assumption about existence of fractal structure on such low scale level of wood [Koňas, P., 2001. General concept of finite element model based on wood anatomy structure III. In: Proceedings of MendelNET 01, ISBN: 80-7157-516-X, pp. 29–34]. Opposite to common way of investigation where the researches estimate relation between impact energy and fractal dimension of fracture after impact loading (as quantitative of material toughness) we propose that wood structure includes sufficient amount of information about toughness in original state (before the loading). Due to complicated experimental assessment of the toughness, the work of impact loading as measurable magnitude of material toughness was used. [Copyright &y& Elsevier]