A unified energy approach to a class of micromechanics models for composite materials |
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Authors: | Y Huang K C Hwang K X Hu A Chandra |
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Institution: | (1) Dept. of Aerospace and Mech. Eng., The University of Arizona, 85721 Tucson, AZ, USA;(2) Dept. of Engineering Mechanics, Tsinghua University, 100084 Beijing, China |
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Abstract: | Several micromechanics models for the determination of composite moduli are investigated in this paper, including the dilute
solution, self-consistent method, generalized self-consistent method, and Mori-Tanaka's method. These micromechanical models
have been developed by following quite different approaches and physical interpretations. It is shown that all the micromechanics
models share a common ground, the generalized Budiansky's energy-equivalence framework. The difference among the various models
is shown to be the way in which the average strain of the inclusion phase is evaluated. As a bonus of this theoretical development,
the asymmetry suffered in Mori-Tanaka's method can be circumvented and the applicability of the generalized self-consistent
method can be extended to materials containing microcracks, multiphase inclusions, non-spherical inclusions, or non-cylindrical
inclusions. The relevance to the differential method, double-inclusion model, and Hashin-Shtrikman bounds is also discussed.
The application of these micromechanics models to particulate-reinforced composites and microcracked solids is reviewed and
some new results are presented. |
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Keywords: | micromechanics models energy-equivalence framework dilute solution self-consistent method generalized self-consistent method Mori-Tanaka's method |
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