On the theory of the fractal scaling-law elasticity

被引：20
|
作者：
Yang, Xiao-Jun [1 ,2 ,3 ]
Liu, Jian-Gen [1 ,2 ]
Abdel-Aty, Mahmoud [4 ,5 ]
机构：
[1] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Jiangsu, Peoples R China
[2] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
[3] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221116, Jiangsu, Peoples R China
[4] Sohag Univ, Fac Sci, Math Dept, Sohag, Egypt
[5] Zewail City Sci & Technol, Ctr Photon & Smart Mat CPSM, Zewail, Egypt
来源：
MECCANICA | 2022年 / 57卷 / 04期
关键词：
Elasticity; Fractal; Mandelbrot's scaling-law; Vector calculus; MECHANICS;
D O I：
10.1007/s11012-021-01405-4
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
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：13
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