An iterative Mori-Tanaka approach

作者:Fang C*; Xie X
来源:Mechanics of Composite Materials, 2013, 49(3): 305-310.
DOI:10.1007/s11029-013-9347-1

摘要

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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