Dimension reduction analysis of a three-dimensional thin elastic plate reinforced with fractal ribbons

Dimension reduction analysis of a three-dimensional thin elastic plate reinforced with fractal ribbons

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 sin...

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Veröffentlicht in:European journal of applied mathematics 2023-08, Vol.34 (4), p.838-869
Hauptverfasser: El Jarroudi, Mustapha, El Merzguioui, Mhamed, Er-Riani, Mustapha, Lahrouz, Aadil, El Amrani, Jamal
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0956-7925
1469-4425
DOI:10.1017/S0956792523000025