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

IF 2.3 4区数学 Q1 MATHEMATICS, APPLIED

European Journal of Applied Mathematics Pub Date : 2023-03-02 DOI:10.1017/s0956792523000025

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

引用次数: 0

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.

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三维分形带状增强弹性薄板降维分析

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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来源期刊

European Journal of Applied Mathematics 数学-应用数学

CiteScore

4.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Since 2008 EJAM surveys have been expanded to cover Applied and Industrial Mathematics. Coverage of the journal has been strengthened in probabilistic applications, while still focusing on those areas of applied mathematics inspired by real-world applications, and at the same time fostering the development of theoretical methods with a broad range of applicability. Survey papers contain reviews of emerging areas of mathematics, either in core areas or with relevance to users in industry and other disciplines. Research papers may be in any area of applied mathematics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability.