ANALYSIS OF INTERFACIAL FRACTAL
CONTACTS IN 3-DIMENSIONAL PACKING
Younes Abouelhanoune1, Mustapha El Jarroudi2
1National School of Applied Sciences
Al Hoceima - 32000, MOROCCO
2FST Tangier
Tangier - 90000, MOROCCO
1,2Abdelmalek Essaadi University
Tetouan, MOROCCO

Abstract

Asymptotic analysis of problems in domains with fractal interfaces or fractal limits is important for the study of phenomena related to heterogeneous materials and in particular to know the behavior of the faults in the geological zones.

We consider a dense network of elastic materials modelled by a dense network of elastic balls in the unit ball $B(0;1)$ of $\mathbb{R}^{n}$; $n = 3$, obtained from an 3-dimensional packing of elastic spherical balls. The purpose is to use $\Gamma$-convergence methods in order to study the asymptotic behaviour of the structure and deriving contact laws on the residual fractal interface. The problem considered here has other implications, such as the modeling of the behavior of composite materials or the study of displacement of a geological fault causing a generation of a new fractures.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 2
Year: 2022

DOI: 10.12732/ijam.v35i2.10

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