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].
@article{1054,
title = {A two way particle mapping for calculation of the shear modulus of a spherical inclusion composite with inhomogeneous interphase},
journal = {ANZIAM Journal},
volume = {46},
year = {2006},
doi = {10.21914/anziamj.v47i0.1054},
language = {EN},
url = {http://dml.mathdoc.fr/item/1054}
}
Lombardo, N. A two way particle mapping for calculation of the shear modulus of a spherical inclusion composite with inhomogeneous interphase. ANZIAM Journal, Tome 46 (2006) . doi : 10.21914/anziamj.v47i0.1054. http://gdmltest.u-ga.fr/item/1054/