Dynamics of Fractal Solids

Details Dynamics of Fractal Solids Dynamics of Fractal Solids

2007-10-03

arxiv.org/abs/0710.0787v1

International Journal of Modern Physics B 19 (2005) 4103-4114

Physics

Classical Physics

12 pages, LaTeX

Scientific paper

10.1142/S0217979205032656

We describe the fractal solid by a special continuous medium model. We propose to describe the fractal solid by a fractional continuous model, where all characteristics and fields are defined everywhere in the volume but they follow some generalized equations which are derived by using integrals of fractional order. The order of fractional integral can be equal to the fractal mass dimension of the solid. Fractional integrals are considered as an approximation of integrals on fractals. We suggest the approach to compute the moments of inertia for fractal solids. The dynamics of fractal solids are described by the usual Euler's equations. The possible experimental test of the continuous medium model for fractal solids is considered.

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