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Based on the recently discovered mechanics of structure genome, a micromechanics theory is developed for computing the effective properties and local fields of aperiodic heterogeneous materials. This theory starts with expressing the displacements of the heterogeneous material in terms of those of the corresponding homogeneous material and fluctuating functions. Integral constraints are introduced...
Mechanics of structure genome is extended to provide a novel two-step homogenization approach to predicting the effective properties of textile composites. The first homogenization step (micro-homogenization) deals with determining the effective properties of tows (yarns) from fiber and matrix properties. In the second homogenization step (macro-homogenization), the effective properties of textile...
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