Dimension reduction analysis of a three-dimensional thin elastic plate reinforced with fractal ribbons
Mustapha El Jarroudi, Mhamed El Merzguioui, Mustapha Er‐Riani, Aadil Lahrouz, Jamal El Amrani · European Journal of Applied Mathematics · 2023
Abstract The aim of this paper is to study the dimension reduction analysis of an elastic plate with small thickness reinforced with increasing number of thin ribbons developing fractal geometry. We prove the $\Gamma $ -convergence of the energy functionals to a two-dimensional effective energy including singular terms supported within the Sierpinski carpet.