AI Article Synopsis
- Fractal dimension (FD) serves as an effective tool to describe the microstructure of porous materials like cortical bone, which can be visualized through micro-CT imaging.
- Researchers analyzed human cortical bone samples using μCT to estimate FD and also performed tensile tests to determine Young's modulus (YM) and failure stress.
- A strong correlation was found between the FD of μCT images and the YM of the bone samples, leading to the development of a new non-linear relationship that accurately describes this connection based on experimental data.
Article Abstract
Fractal dimension (FD) can be used to characterize microstructure of porous media, particularly bone tissue. The porous microstructure of cortical bone is observable in micro-CT (μCT) images. Estimations of fractal dimensions of μCT images of coupons of human cortical bone are obtained. The same samples were tested on a tensile test machine and Young's modulus (YM) and Failure stress were obtained. When both types of measures were compared, a clear correlation was found (R=-81%, P<0.01). Young's modulus of each sample and the FD of its μCT images are correlated. From the assumption that cortical bone is approximately a fractal set, a non-linear constitutive relation involving FD is obtained for YM. Experimental results show good agreement with this constitutive relation. Additional parameters in the non-linear relation between YM and FD have been estimated from experimental results and related to physical parameters.
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| http://dx.doi.org/10.1016/j.medengphy.2012.06.024 | DOI Listing |
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