Micromechanics of composite materials governed by vector constitutive laws

The high-fidelity generalized method of cells micromechanics theory has been extended for the prediction of the effective property tensor and the corresponding local field distributions for composites whose constituents are governed by vector constitutive laws. As shown, the shear analogy, which can...

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Bibliographic Details
Published in:International journal of solids and structures 2017-04, Vol.110-111, p.137-151
Main Authors: Bednarcyk, Brett A., Aboudi, Jacob, Arnold, Steven M.
Format: Article
Language:English
Subjects:
Composite materials
Dielectric constant
Electric permittivity
Heat conductivity
High-fidelity generalized method of cells
Micromechanics
Modeling
Numerical analysis
Thermal conductivity
Woven composites
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Summary:The high-fidelity generalized method of cells micromechanics theory has been extended for the prediction of the effective property tensor and the corresponding local field distributions for composites whose constituents are governed by vector constitutive laws. As shown, the shear analogy, which can predict effective transverse properties, is not valid in the general three-dimensional case. Consequently, a general derivation is presented that is applicable to both continuously and discontinuously reinforced composites with arbitrary vector constitutive laws and periodic microstructures. Results are given for thermal and electric problems, effective properties and local field distributions, ordered and random microstructures, as well as complex geometries including woven composites. Comparisons of the theory's predictions are made to test data, numerical analysis, and classical expressions from the literature. Further, classical methods cannot provide the local field distributions in the composite, and it is demonstrated that, as the percolation threshold is approached, their predictions are increasingly unreliable.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2017.01.033