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The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution

  • A. Young
  • A. J. MulhollandEmail author
  • R. L. O’Leary
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 128)

Abstract

An implementation of the Causal Differential Method (CDM) for modelling the effective properties of a random two-phase composite material is presented. Such materials are commonly used as ultrasonic transducer matching layers or backing layers. The method is extended to incorporate a particle size distribution in the inclusion phase. Numerical issues regarding the implementation and convergence of the method are discussed. It is found that, for a given frequency of excitation, the calculated velocity for the composite has a distribution whose variance increases as the volume fraction of inclusions increases. The model predictions would suggest that to reliably and repeatedly manufacture these composites, with a desired mechanical impedance, a low volume fraction of inclusions should be used.

Keywords

Phase Velocity Effective Property Mechanical Impedance Tungsten Particle Match Layer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of StrathclydeGlasgowUK

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