### Abstract

Original language | English |
---|---|

Pages (from-to) | 49-59 |

Number of pages | 10 |

Journal | Springer Proceedings in Physics |

Volume | 128 |

DOIs | |

Publication status | Published - 30 Jan 2009 |

### Fingerprint

### Keywords

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

### Cite this

}

**The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution.** / Young, A.; Mulholland, A.J.; O'Leary, R.L.

Research output: Contribution to journal › Article

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

JF - Springer Proceedings in Physics

SN - 0930-8989

ER -