Investigation on Mathematical Model of Electric Contact Based on Fractal Geometry

Author(s):  
Hang Lei ◽  
Xiaonan Zhu ◽  
Haoran Wang ◽  
Junxingxu Chen ◽  
Qi Liu ◽  
...  

A solid-surface morphology has a rough character that prevents it from being described by Euclidean geometry; fractal geometry is plausible. From considering that the deposition of particles and their detachment significantly influences roughness, an expression based on stochastic modeling techniques was obtained to predict the fractal dimension of a surface based on the dynamics of the processes that occur in it. The model obtained was used to characterize whether fiber in building materials made of poured earth influences the surface's morphology and the effects of erosion


Fractals ◽  
1993 ◽  
Vol 01 (03) ◽  
pp. 346-353 ◽  
Author(s):  
ANGELO DE MARCHI ◽  
DAVIDE CASSI

From a morphological point of view lichens are usually classified in three life-forms: foliose, crustose and fruticose. In this paper we consider one lichen for each of them [a foliose (Parmelia tiliacea), a crustose (Rhizocarpon geographicum) and a fruticose (Cladonia mediterranea) lichen], and by direct measurement we show that these samples have fractal geometry and we detemine their fractal dimensions and fractality ranges. On the basis of these results, we then discuss the possible ecological causes that could have selected these geometries and that should be considered in a realistic mathematical model of growth.


2014 ◽  
Vol 1040 ◽  
pp. 495-499 ◽  
Author(s):  
Svetlana N. Sorokova ◽  
Anna G. Knyazeva ◽  
Alexsey Pobol ◽  
George Goranskyi

The mathematical model of pulsed electric contact sintering of carbide powder compositions are suggested and investigated. The distributions of temperature, density and thickness of the rate during sintering are determined


2019 ◽  
Vol 89 (3) ◽  
Author(s):  
Marco Moscarelli ◽  
Ruggero De Paulis

Biological systems ubiquitously and inevitably exhibit stochasticity in traits from the molecular level to the multicellular and morphological level. However, there are several examples of natural events that might be described in mathematical terms. Plants grow in a structured and geometric way to maximize their sun exposure for photosynthesis while reducing the stress. The ‘Fibonacci sequence’ and its ‘golden ratio’ are considered a mathematical regularity and model that is one of the corner-stone of the ‘phyllotaxis’, the part of the botany that studies how plants branch. Nevertheless, we currently do not know if such mathematical model can be applied to humans. Different authors have hypothesized that ‘fractal’ might be identified along with the ‘golden-ratio’ in the human body (coronary artery, heart valves etc.). The aortic valve and the aortic root might represent an interesting model of human fractal geometry, where the phyllotactic rules can be reasonably applied, and where deviation from normality might results in dysfunction. However, in the absence of scientific validations, such report represents only the authors’ perceptions of a beautiful shape.


2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  

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