Some reflections on the Mori-Tanaka and Ponte Castañeda-Willis methods with randomly oriented ellipsoidal inclusions
type: Item
instance of: scholarly article
title: Some reflections on the Mori-Tanaka and Ponte Castañeda-Willis methods with randomly oriented ellipsoidal inclusions
zbMATH Open document ID: 0985.74056
DOI: 10.1007/BF01175978
published in: Acta Mechanica
publication date: 2002-05-18T00:00:00Z
review text: The authors determine effective elastic properties of randomly oriented ellipsoidal inclusions basing on a formula derived by \textit{P. Ponte Castañeda} and \textit{J. R. Willis} [J. Mech. Phys. Solids 43, No. 12, 1919-1951 (1995; Zbl 0919.73061)]. In the latter formula the authors replace a summation of the terms due to inclusions by an orientational average.
Mathematics Subject Classification ID: 74Q15
Mathematics Subject Classification ID: 74A40
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1462382
zbMATH Keywords: effective elastic moduli
zbMATH Keywords: self-consistent method
zbMATH Keywords: Mori-Tanaka method
zbMATH Keywords: Ponte Castañeda-Willis formula
zbMATH Keywords: randomly oriented ellipsoidal inclusions
zbMATH Keywords: orientational average
author: Geng-Kai Hu
author: George J. Weng
reviewed by: Vladimir Mityushev
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01175978
OpenAlex ID: W2134932360
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description: scientific article; zbMATH DE number 1462382