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

Young, A. and Mulholland, A.J. and O'Leary, R.L. (2009) The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution. Springer Proceedings in Physics, 128. pp. 49-59. ISSN 0930-8989

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    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 layersor 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.

    Creators(s): Young, A., Mulholland, A.J. ORCID logoORCID: https://orcid.org/0000-0002-3626-4556 and O'Leary, R.L. ORCID logoORCID: https://orcid.org/0000-0002-4092-2101;
    Item type:Article
    ID code:13734
    Keywords:differential scattering, composite materials, particle size distribution, casual differential method, Mathematics
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Faculty of Engineering > Electronic and Electrical Engineering
    Depositing user: Mrs Mary McAuley
    Date deposited:13 Jan 2010 16:27
    Last modified:02 Feb 2021 09:16
    URI:https://strathprints.strath.ac.uk/id/eprint/13734
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