An iterative Mori-Tanaka approach

Fang, C.; Xie, X.
July 2013
Mechanics of Composite Materials;Jul2013, Vol. 49 Issue 3, p305
Academic Journal
The aim of this paper is to evaluate the effective material properties of particle-reinforced composites. The Mori-Tanaka approach overstates the strain of inclusions and therefore underestimates the resulting effective rigidity of composite materials. We propose an iteration method for the Mori-Tanaka approach. Initially, the effective elastic tensor of a composite material is found by using the Mori-Tanaka approach. Then the new composite is taken as a background material, and the inclusions and matrix are both embedded into it. The resulting material is softer than predicted by the self-consistent approach, but stiffer than forecasted by the Mori-Tanaka method. The predictions are compared with data from the literature and are shown to be very accurate over wide ranges of inclusion concentration.


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