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. 4959. ISSN 09308989

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Abstract
An implementation of the Causal Differential Method (CDM) for modelling the effective properties of a random twophase 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.
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:  12 Dec 2015 14:06 
URI:  http://strathprints.strath.ac.uk/id/eprint/13734 
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