TY - GEN

T1 - The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution

AU - Young, Andrew

AU - Mulholland, Anthony

AU - O'Leary, Richard

PY - 2009/1/30

Y1 - 2009/1/30

N2 - 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.

AB - 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.

UR - https://pureportal-staging.strath.ac.uk/en/publications/f8a3c282-9823-4628-a244-4c2fca861880

U2 - 10.1007/978-3-540-89105-5_5

DO - 10.1007/978-3-540-89105-5_5

M3 - Conference Contribution (Conference Proceeding)

SN - 9783540891048

T3 - Springer Proceedings in Physics

SP - 49

EP - 59

BT - Ultrasonic Wave Propagation in Non Homogeneous Media

PB - Springer Berlin Heidelberg

ER -