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Effective Moduli of Concentrated Particulate Solids

  • Conference paper
IUTAM Symposium on Microstructure-Property Interactions in Composite Materials

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 37))

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Abstract

The overall elastic constants of a participate composite material are theoretically estimated. The composite consists of a high concentration of randomly arranged spherical particles embedded in an isotropic elastic matrix. Because of the high concentration of particles (volume fraction close to the maximum possible), the load transfer occurs mainly at the regions of near contact between neighbouring particles. The self-consistent approach is therefore unlikely to give an accurate prediction. It is now necessary to estimate the load transfer between two neighbouring particles separated by a thin layer of matrix material. This has been done in the present paper without placing any restrictions on the rigidity of the particles or on the length of contact zone between them. The latter two limiting cases have been previously solved by Batchelor and O’Brien (1977), Phan-Thien and Karihaloo (1982), and Dvorkin, Mavko and Nur (1991). The results of the present study are applicable in particular to cemented granular materials.

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Author information

Authors and Affiliations

  1. School of Civil and Mining Engineering, The University of Sydney, NSW, 2006, Australia

    B. L. Karihaloo & J. Wang

Authors
  1. B. L. Karihaloo
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  2. J. Wang
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Editor information

Editors and Affiliations

  1. Institute of Mechanical Engineering, Aalborg University, Aalborg, Denmark

    R. Pyrz

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© 1995 Springer Science+Business Media Dordrecht

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Karihaloo, B.L., Wang, J. (1995). Effective Moduli of Concentrated Particulate Solids. In: Pyrz, R. (eds) IUTAM Symposium on Microstructure-Property Interactions in Composite Materials. Solid Mechanics and Its Applications, vol 37. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0059-5_13

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  • DOI: https://doi.org/10.1007/978-94-011-0059-5_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4031-0

  • Online ISBN: 978-94-011-0059-5

  • eBook Packages: Springer Book Archive

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