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. ![]() ![]() | Item type: | Article |
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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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