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Inequalities for electric and elastic polarization tensors with applications to random composites. (English) Zbl 0797.73046

(From the author’s abstract.) New bounds are found for the electric and elastic polarization tensors for composites with grains of arbitrary shape or connectivity. These bounds are given explicitely in terms of the characteristic function specifying the grain shape. They are used to predict the range of effective transport properties for hierarchical random suspensions and aggregates that realize the effective medium approximation. The inequalities provided by the bounds are rigorous for the effective properties of dilute statistically anisotropic random suspensions.
Reviewer: A.Ghaleb (Giza)

MSC:

74F15 Electromagnetic effects in solid mechanics
74E30 Composite and mixture properties
74A40 Random materials and composite materials
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