- Tytuł:
- Ubiquitiform in applied mechanics
- Autorzy:
-
Ou, Z.-C.
Li, G.-Y.
Duan, Z.-P.
Huang, F-L. - Powiązania:
- https://bibliotekanauki.pl/articles/279395.pdf
- Data publikacji:
- 2014
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
ubiquitiform
fractal
Hausdorff dimension - Opis:
- We demonstrate that a physical object in nature should not be described as a fractal, despite an ideal mathematical object, rather a ubiquitiform (a terminology coined here for a finite order self-similar or self-affine structure). It is shown mathematically that a ubiquitiform must be of integral dimension, and that the Hausdorff dimension of the initial element of a fractal changes abruptly at the point at infinity, which results in divergence of the integral dimensional measure of the fractal and makes the fractal approximation to a ubiquitiform unreasonable. Therefore, instead of the existing fractal theory in applied mechanics, a new type of ubiquitiformal one is needed.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2014, 52, 1; 37-46
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł