4.5 Article

On the theory of the fractal scaling-law elasticity

Journal

MECCANICA
Volume 57, Issue 4, Pages 943-955

Publisher

SPRINGER
DOI: 10.1007/s11012-021-01405-4

Keywords

Elasticity; Fractal; Mandelbrot's scaling-law; Vector calculus

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Funding

  1. China University of Mining and Technology [102504180004]

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This article introduces a new treatment for non-traditional elasticity using fractal scaling-law vector calculus, and presents fundamental theorems for this calculus in detail. The results offer a new insight into describing the behaviors of solids in Mandelbrots scaling-law phenomena.
In the article we invoke a new treatment of the non-traditional elasticity with use of the fractal scaling-law vector calculus. The fundamental theorems for the fractal scaling-law vector calculus are given in detail. The result presents a new insight into the descriptions for the behaviors of the solids in the Mandelbrots scaling-law phenomena.

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