Rigidité à la torsion d'un cylindre présentant une double périodicité

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• 作者：M'barek Taghite ; Khalid Taous ; Mohamed Haboussi ; G&#xe9 ; rard Maurice ; H&#xe9 ; l&#xe8 ; ne Lanchon-Ducauquis
• 关键词：Porous media ; Homogenization ; Multiperiodicity ; Contrast of scales
• 刊名：Comptes Rendus Mecanique
• 出版年：2006
• 期刊代码：116_16310721
• 类别：ms
• 出版时间：December 2006
• 卷：334
• 期：12
• 页码：737-742
• 文件大小：226 K

摘要

The objective of the present Note is to estimate the equivalent torsion rigidity modulus for a cylinder whose cross-section Σ exhibits a periodical distribution of porous zones Σ_P. Taking into account a second, finer, periodical distribution of pores in Σ_P, we have to use the homogenization method in a biperiodical context. However, the contrast of scales at the interfaces between Σ_P and the compact part e92db3d429e" title="Click to view the MathML source">Σ_C of Σ, requires some subtle fitting up of this method. Finally, we point out the existence of boundary layers around the interfaces ∂Σ_P and we estimate the weakening of the torque rigidness. To cite this article: M'B. Taghite et al., C. R. Mecanique 334 (2006).