A two-way particle mapping for calculation of the shear modulus of a spherical inclusion composite with inhomogeneous interphase

Lombardo, N 2006, 'A two-way particle mapping for calculation of the shear modulus of a spherical inclusion composite with inhomogeneous interphase', Australian and New Zealand Industrial and Applied Mathematics Journal, vol. 47, pp. C432-C445.


Document type: Journal Article
Collection: Journal Articles

Title A two-way particle mapping for calculation of the shear modulus of a spherical inclusion composite with inhomogeneous interphase
Author(s) Lombardo, N
Year 2006
Journal name Australian and New Zealand Industrial and Applied Mathematics Journal
Volume number 47
Start page C432
End page C445
Publisher Australian Mathematical Society
Abstract Based on the Mori--Tanaka method and a replacement scheme, a pair of coupled first order differential equations which model the shear modulus of a particulate composite with inhomogeneous interphase are derived. However, the results derived are not exact since the Mori--Tanaka method is not exact for the shear problem. An improved model is therefore proposed which utilises the generalised self consistent scheme for a spherical inclusion that is surrounded by a hypothetical homogeneous interphase layer. To find the properties of this hypothetical interphase layer a mapping of a homogeneous particle onto a two phase composite is utilised. The results are then presented for a simple power law profile and are shown to be consistent with the conclusions of Shen and Li [Int. J. Solids and Struct., 40, 2003, 1393--1409].
Subject Composite and Hybrid Materials
Keyword(s) shear modulus
nano-composites
interphase
Copyright notice © Austral. Mathematical Soc. 2006.
ISSN 1446-8735
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