三维分形带状增强弹性薄板降维分析

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2023-03-02 DOI:10.1017/s0956792523000025

M. El Jarroudi, Mhamed El Merzguioui, M. Er-Riani, A. Lahrouz, Jamal El Amrani

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引用次数: 0

摘要

本文的目的是研究随着薄带数量的增加而发展成分形几何的小厚度弹性板的降维分析。我们证明了能量泛函到二维有效能量的$\Gamma$-收敛性，包括Sierpinski地毯内支持的奇异项。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 singular terms supported within the Sierpinski carpet.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464