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.
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© 2009 Springer-Verlag Berlin Heidelberg
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Young, A., Mulholland, A.J., O’Leary, R.L. (2009). The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution. In: Leger, A., Deschamps, M. (eds) Ultrasonic Wave Propagation in Non Homogeneous Media. Springer Proceedings in Physics, vol 128. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89105-5_5
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DOI: https://doi.org/10.1007/978-3-540-89105-5_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89104-8
Online ISBN: 978-3-540-89105-5
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