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Bounds on the effective tensor and structural parameters for anisotropic two-phase composite material
Lund University, Sweden.
2005 (English)In: Journal of Physics D: Applied Physics, ISSN 0022-3727, E-ISSN 1361-6463, Vol. 38, p. 3695-3702Article in journal (Refereed) Published
Abstract [en]

This paper is concerned with the estimation of macroscopic properties such as the permittivity or the thermal conductivity of a composite material from the microstructure. A new method of estimating the microstructural parameters, such as the volume fraction of anisotropic two-phase composite material, is derived. The parameters are estimated using information from measurements of the random material or, in the periodic case, from numerical experiments. The method is used to derive new bounds on the effective tensor that incorporates information from measurements of a related parameter. These new bounds are called cross-property bounds. New tight bounds on low-order microstructural parameters are given in the anisotropic case.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2005. Vol. 38, p. 3695-3702
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-81925DOI: 10.1088/0022-3727/38/19/019OAI: oai:DiVA.org:lnu-81925DiVA, id: diva2:1304784
Available from: 2019-04-13 Created: 2019-04-13 Last updated: 2019-05-07Bibliographically approved

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Engström, Christian

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