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Property Contribution Tensors of Inhomogeneities

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Micromechanics of Materials, with Applications

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Abstract

Property contribution tensors introduced in Chap. 2 express contributions of a given inhomogeneity to the effective property of interest, under the assumption that the inhomogeneity is placed into a uniform applied field (that would be uniform within the site of the inhomogeneity in its absence, “homogeneous boundary conditions”, Sect. 2.1.1). For the elastic properties, these tensors are the compliance or stiffness contribution tensors, \( \varvec{H} \) or \( \varvec{N} \); for the conductive properties—the conductivity or resistivity contribution tensors, \( \varvec{K} \) or \( \varvec{R} \).

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Correspondence to Mark Kachanov .

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Kachanov, M., Sevostianov, I. (2018). Property Contribution Tensors of Inhomogeneities. In: Micromechanics of Materials, with Applications. Solid Mechanics and Its Applications, vol 249. Springer, Cham. https://doi.org/10.1007/978-3-319-76204-3_4

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  • DOI: https://doi.org/10.1007/978-3-319-76204-3_4

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