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Letter. An empirical scaling model for averaging elastic properties including interfacial effects

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Published/Copyright: April 1, 2015
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American Mineralogist
From the journal American Mineralogist Volume 92 Issue 2-3

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 finds 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.

Keywords : Compressibility; mechanical properties; elastic moduli; surfaces
Received: 2006-10-5
Accepted: 2006-10-19
Published Online: 2015-4-1
Published in Print: 2007-2-1

© 2015 by Walter de Gruyter Berlin/Boston

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https://doi.org/10.2138/am.2007.2472
Keywords for this article
Compressibility; mechanical properties; elastic moduli; surfaces

Articles in the same Issue

  1. Combined cathodoluminescence hyperspectral imaging and wavelength dispersive X-ray analysis of minerals
  2. Identification of cathodoluminescence activators in zoned alkali feldspars by hyperspectral imaging and electron-probe microanalysis
  3. Ionoluminescence of leucophanite
  4. Digital near-infrared (NIR) cathodoluminescence (CL) imaging and image processing
  5. Significance of aluminum phosphate-sulfate minerals associated with U unconformity-type deposits: The Athabasca basin, Canada
  6. Hardness, toughness, and modulus of some common metamorphic minerals
  7. Diffusion compensation for argon, hydrogen, lead, and strontium in minerals: Empirical relationships to crystal chemistry
  8. Elastic anomalies accompanying phase transitions in (Ca,Sr)TiO3 perovskites: Part I. Landau theory and a calibration for SrTiO3
  9. Elastic anomalies accompanying phase transitions in (Ca,Sr)TiO3 perovskites: Part II. Calibration for the effects of composition and pressur
  10. Elastic anomalies accompanying phase transitions in (Ca,Sr)TiO3 perovskites: Part III. Experimental investigation of polycrystalline samples
  11. Patterns in the compositions of oxysalt and sulfosalt minerals, and the paradoxical nature of quartz
  12. Effect of variable carbonate concentration on the solidus of mantle peridotite
  13. Time-resolved structural analysis of K- and Ba-exchange reactions with synthetic Na-birnessite using synchrotron X-ray diffraction
  14. Heat capacity of synthetic hydrous Mg-cordierite at low temperatures: Thermodynamic properties and the behavior of the H2O molecule in selected hydrous micro and nanoporous silicates
  15. Organic anions in layered double hydroxides: An experimental investigation of citrate hydrotalcite
  16. The 6H-SiC structure model: Further refinement from SCXRD data from a terrestrial moissanite
  17. Cobalt incorporation in mullite
  18. Thermal expansion between 480 and 940 °C of Cr-doped mullites derived from single-phase precursors
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  22. Letter. The acoustic emissions signature of a pressure-induced polytypic transformation in chlorite
  23. Letter. A new high-pressure CaGe2O5 polymorph with 5- and 6-coordinated germanium
  24. Letter. Terrestrial analogs of martian jarosites: Major, minor element systematics and Na-K zoning in selected samples
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