Nonlinear effective properties of heterogeneous materials with ellipsoidal microstructure

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• 作者：Stefano Giordano ; ^a ; ^b ; ^{Stefano.Giordano@iemn.univ-lille1.fr} ; ^{stefano.giordano@iemn.univ-lille1.fr}
• 关键词：Heterogeneous material ; Nonlinear homogenization ; Ellipsoidal microstructure ; Ponte Castañ ; eda&ndash ; Willis estimate
• 刊名：Mechanics of Materials
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：105
• 期：Complete
• 页码：16-28
• 全文大小：1805 K
• 卷排序：105

文摘

A nonlinear homogenization procedure is proposed to take account of the spatial distribution of inhomogeneities. The correlation among inhomogeneities is defined by the so-called ellipsoidal microstructure. Linear and nonlinear results have been written in terms of two Eshelby tensors describing particles shape and correlation, respectively. While the linear result corresponds to the well-known Ponte Castañeda–Willis estimate, we propose new formulae for the second and third order nonlinear behavior.