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

Andrew Young; Anthony Mulholland; Richard O'Leary

doi:10.1007/978-3-540-89105-5_5

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

Andrew Young, Anthony Mulholland, Richard O'Leary

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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.

Original language	English
Title of host publication	Ultrasonic Wave Propagation in Non Homogeneous Media
Publisher	Springer Berlin Heidelberg
Pages	49-59
Number of pages	12
ISBN (Electronic)	9783540891055
ISBN (Print)	9783540891048
DOIs	https://doi.org/10.1007/978-3-540-89105-5_5
Publication status	Published - 30 Jan 2009

Publication series

Name	Springer Proceedings in Physics
Volume	128
ISSN (Print)	0930-8989

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

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Young, A., Mulholland, A., & O'Leary, R. (2009). The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution. In Ultrasonic Wave Propagation in Non Homogeneous Media (pp. 49-59). (Springer Proceedings in Physics; Vol. 128). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-89105-5_5

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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.",

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Young, A, Mulholland, A & O'Leary, R 2009, The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution. in Ultrasonic Wave Propagation in Non Homogeneous Media. Springer Proceedings in Physics, vol. 128, Springer Berlin Heidelberg, pp. 49-59. https://doi.org/10.1007/978-3-540-89105-5_5

The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution. / Young, Andrew; Mulholland, Anthony; O'Leary, Richard.
Ultrasonic Wave Propagation in Non Homogeneous Media. Springer Berlin Heidelberg, 2009. p. 49-59 (Springer Proceedings in Physics; Vol. 128).

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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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.

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BT - Ultrasonic Wave Propagation in Non Homogeneous Media

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

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