Paper Title:

Fractals to Model Hierarchical Biomaterials

Periodical Advances in Science and Technology (Volume 58)
Main Theme Mining Smartness from Nature
Edited by Pietro VINCENZINI and Salvatore GRAZIANI
Pages 54-59
DOI 10.4028/www.scientific.net/AST.58.54
Citation Alberto Carpinteri et al., 2008, Advances in Science and Technology, 58, 54
Online since September, 2008
Authors Alberto Carpinteri, Pietro Cornetti, Nicola Maria Pugno, Alberto Sapora
Keywords Biomaterial, Fractal, Hierarchical Structure, Strength
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Abstract

Many biological materials exhibit a hierarchical structure over more than one length scale. Understanding how hierarchy affects their mechanical properties emerges as a primary concern, since it can guide the synthesis of new materials to be tailored for specific applications. In this paper the strength and stiffness of hierarchical materials are investigated by means of a fractal approach. A new model is proposed, based both on geometric and material considerations and involving simple recursive formulas.