6533b855fe1ef96bd12b0df7
RESEARCH PRODUCT
Power-law hereditariness of hierarchical fractal bones
L DeseriP PollaciMario Di PaolaMassimiliano Zingalessubject
Power lawHierarchic structureMechanical fractanceFractional calculuSettore ICAR/08 - Scienza Delle CostruzioniBone hereditarinedescription
In this paper, the authors introduce a hierarchic fractal model to describe bone hereditariness. Indeed, experimental data of stress relaxation or creep functions obtained by compressive/tensile tests have been proved to be fit by power law with real exponent 0 ≤ β ≤1. The rheological behavior of the material has therefore been obtained, using the Boltzmann-Volterra superposition principle, in terms of real order integrals and derivatives (fractional-order calculus). It is shown that the power laws describing creep/relaxation of bone tissue may be obtained by introducing a fractal description of bone cross-section, and the Hausdorff dimension of the fractal geometry is then related to the exponent of the power law.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 |