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ANZIAM J. 47(EMAC2005) pp.C432--C445, 2006.

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

N. Lombardo

(Received 31 October 2005; revised 10 August 2006)

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].

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Authors

N. Lombardo

School of Mathematical and Geospatial Sciences, RMIT University, Melbourne, Australia. mailto:s9508641@student.rmit.edu.au

Published December 15, 2006. ISSN 1446-8735

References

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10. Lombardo, N. The shear modulus of a particulate composite with inhomogeneous interphase. School of Mathematical and Geospatial Sciences, RMIT University, Research Report No. 2005/01, 2005.
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