Macroscopic behavior of a randomly fibered medium

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• 作者：Gé ; rard Michaille^a ; ^{micha@math.univ-montp2.fr} ; Azdine Nait-ali^b ; ^{azdine.nait-ali@univ-montp2.fr} ; Sté ; phane Pagano^b ; ^{stephane.pagano@lmgc.univ-montp2.fr}
• 关键词：49J45 ; 74K15 ; 74C05 ; 74R20
• 刊名：Journal des Mathematiques Pures et Appliquees
• 出版年：2011
• 出版时间：September, 2011
• 年：2011
• 卷：96
• 期：3
• 页码：230-252
• 全文大小：1K

文摘

By combining variational convergence with ergodic theory of subadditive processes, we study the macroscopic behavior of a randomly fibered medium. The cross sections of the fibers are randomly distributed according to a stationary point process, their size is of order ¦Å while the stiffness of the material in the matrix is of order . The variational limit functional energy obtained when ¦Å tends to 0 is deterministic and non-local.