On the theory of the fractal scaling-law elasticity

被引：0
|
作者：
Xiao-Jun Yang
Jian-Gen Liu
Mahmoud Abdel-Aty
机构：
[1] China University of Mining and Technology,State Key Laboratory for Geomechanics and Deep Underground Engineering
[2] China University of Mining and Technology,School of Mathematics
[3] China University of Mining and Technology,School of Mechanics and Civil Engineering
[4] Sohag University,Mathematics Department, Faculty of Sciences
[5] Zewail City of Science and Technology,Center for Photonics and Smart Materials (CPSM)
来源：
Meccanica | 2022年 / 57卷
关键词：
Elasticity; Fractal; Mandelbrot’s scaling-law; Vector calculus; 28A80; 26B12; 26B99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：943 / 955
页数：12
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