Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 81
Interfacial Contact Model in a Dense Network of Elastic Materials
Younes Abouelhanoune, Mustapha El Jarroudi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 04, 2022
March 03, 2077
April 15, 2077

Abstract: We consider a dense network of elastic materials modeled by a dense network of elastic disks. More specifically, we consider a dense network of elastic disks in the unit disk D(0,1) of R2 obtained from an Apollonian packing of elastic circular disks by removing disks of small sizes. We suppose that the disks are pressed against each other to form small rectilinear contact zones where a perfect adhesion occurs on thinner zones. We use Γ-convergence methods in order to study the asymptotic behavior of the structure with respect to a vanishing parameter describing the thickness of the small ...