An empirical scaling model for averaging elastic properties including interfacial effects

Salje, E. K. H. (2007) An empirical scaling model for averaging elastic properties including interfacial effects. American Mineralogist, 92 (2-3). pp. 429-432. ISSN 0003-004X DOI https://doi.org/10.2138/am.2007.2472

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Abstract

The elastic properties of ceramics and a mix of minerals can be calculated in a simple way including some properties of the interfaces between grains. While the Hashin Shtrikman averaging method has bounds, which are strictly correct for many realistic physical conditions, one fi nds empirical data which lie outside these bonds. One possible interpretation is that the scaling of the volume proportions in mineral assemblies is not truly represented by the nominal volume proportion f of each phase. It is argued that interfacial effects scale with f(1–f). In the case of certain assemblies, it is shown that the scaling is entirely with f2 rather than f. For intermediate cases, a more realistic scaling replaces f in the relevant averaging schemes by f(1–S) + S f2 where S weighs the effect of the non-linearities in the volume expansion of the averaging schemes.

Item Type:	Article
Uncontrolled Keywords:	2007 AREP IA53 2007 P
Subjects:	03 - Mineral Sciences
Divisions:	03 - Mineral Sciences
Journal or Publication Title:	American Mineralogist
Volume:	92
Page Range:	pp. 429-432
Identification Number:	https://doi.org/10.2138/am.2007.2472
Depositing User:	Sarah Humbert
Date Deposited:	16 Feb 2009 13:03
Last Modified:	07 Aug 2013 10:47
URI:	http://eprints.esc.cam.ac.uk/id/eprint/647

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