Fractal Operators and Fractional-Order Mechanics of Bone
Zhimo Jian, Jianqiao Guo, Gang Peng, Yajun Yin
Abstract
In recent years, the concept of physical fractal space has been abstracted from muscle/ligament fibers, nerve fibers and blood flows. In the physical fractal space, bio-fractal mechanics may be set up. Surprisingly, the concepts and methods developed in the above bio-fractal mechanics are of universalities, i.e., the physical fractal spaces, fractal operators and fractional-order mechanics universally exist in various biological systems such as bones. This paper will focus on the bones in which the physical fractal space is abstracted, the fractal operators are derived and the fractional-order mechanics is established.
Topics & Concepts
FractalFractal dimensionFractal derivativeFractal dimension on networksMathematicsSpace (punctuation)Fractal analysisMathematical analysisComputer scienceOperating systemThermoelastic and Magnetoelastic PhenomenaNonlocal and gradient elasticity in micro/nano structuresMechanical and Optical Resonators