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

Research output: Contribution to journalArticle

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.
LanguageEnglish
Pages49-59
Number of pages10
JournalSpringer Proceedings in Physics
Volume128
DOIs
Publication statusPublished - 30 Jan 2009

Fingerprint

particle size distribution
inclusions
composite materials
scattering
mechanical impedance
backups
transducers
ultrasonics
predictions
excitation

Keywords

  • differential scattering
  • composite materials
  • particle size distribution
  • casual differential method

Cite this

@article{f8a3c28298234628a2444c2fca861880,
title = "The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution",
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.",
keywords = "differential scattering, composite materials, particle size distribution, casual differential method",
author = "A. Young and A.J. Mulholland and R.L. O'Leary",
year = "2009",
month = "1",
day = "30",
doi = "10.1007/978-3-540-89105-5_5",
language = "English",
volume = "128",
pages = "49--59",
journal = "Springer Proceedings in Physics",
issn = "0930-8989",

}

TY - JOUR

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

AU - Young, A.

AU - Mulholland, A.J.

AU - O'Leary, R.L.

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.

KW - differential scattering

KW - composite materials

KW - particle size distribution

KW - casual differential method

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

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

M3 - Article

VL - 128

SP - 49

EP - 59

JO - Springer Proceedings in Physics

T2 - Springer Proceedings in Physics

JF - Springer Proceedings in Physics

SN - 0930-8989

ER -