Journal of Materials Science

, Volume 30, Issue 3, pp 639–642 | Cite as

Calculated elastic constants of alumina-mullite ceramic particles

  • H. Ledbetter
  • M. Dunn
  • M. Couper


Using two theoretical models, we estimated the isotropic elastic constants of an alumina-mullite ceramic composite. The alumina phase, 20% by volume, consisted of brickshaped particles with a 4:1 aspect ratio embedded in a mullite matrix (mullite = 3Al2O3·2SiO2). We took alumina elastic-constant values from the literature, and we measured mullite's elastic constants using a megahertz-frequency pulse-echo method. The two theoretical models, Datta-Ledbetter and Mori-Tanaka, proceed from very different viewpoints. The Datta-Ledbetter model uses the long-wavelength limit of a scattered plane wave ensemble-average approach. The model estimates the speed of a plane harmonic wave, averages the scattered field by the Waterman-Truell procedure and uses Lax's quasicrystalline approximation to sum over pairs. The Mori-Tanaka method proceeds by estimating the average matrix stress in a material containing ellipsoidal inclusions. For randomly oriented ellipsoids, it extends Eshelby's solution for a single ellipsoidal inclusion. Both models lack adjustable parameters. Surprisingly, the two models with different physical approaches give practically identical results. A rough check on our estimates is that they lead to correct predictions of the elastic constants of an alumina-mullite-particle aluminium-matrix composite.


Elastic Constant Ceramic Composite Scattered Field Alumina Phase Ellipsoidal Inclusion 
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Copyright information

© Chapman & Hall 1995

Authors and Affiliations

  • H. Ledbetter
    • 1
  • M. Dunn
    • 2
  • M. Couper
    • 3
  1. 1.National Institute of Standards and TechnologyBoulderUSA
  2. 2.Mechanical Engineering DepartmentUniversity of ColoradoBoulderUSA
  3. 3.Comalco Research CentreThomastownAustralia

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