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Special Semester on Quantitative Biology analyzed by Mathematical Methods
Linz, October 1, 2007 - January 27, 2008
'Universal' microstructural patterns in bone and wood: Micromechanics-based prediction of stiffness and strength from chenical composition and hierarchical microstructure

Workshop on Biomechanics and Chemotaxis, Thu, 13 Dec, 2007

Speaker: Christian Hellmich

Abstract

Biological materials are characterized by an astonishing variability and diversity. Still, because of 'architectural constraints' due to once chosen material constituents and their physical interaction, their fundamental hierarchical organization or basic building plans remain largely unchanged during biological evolution.
Such universal patterns of microstructural organization govern the mechanical interaction of the elementary components of bone (hydroxyapatite, collagen, water) and of wood (cellulose, hemicellulose, lignin, water).
We here quantify these interaction schemes through multiscale homogenization techniques delivering elastic and strength properties of bone and wood materials, at different observation scales.
Model estimates predicted from tissue-specific composition data gained from a multitude of chemical and physical tests agree remarkably well with corresponding acoustic stiffness experiments across a variety of different bone and wood materials at different scales. This opens new possibilities in exploitation of computer tomograhic data in clinical biomechanics, tissue engineering, and wood production technologies.

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