### Abstract

The scattering of elastic waves in a medium with damage from microcracking is discussed. A generalized tensor-based approach is used such that the results are coordinate free. The influence of damage from penny-shaped microcracks within a homogeneous medium is considered. The microcracks are assumed to be randomly oriented and uniformly distributed. Explicit expressions are derived for the attenuation of longitudinal and shear elastic waves in terms of the statistics damage parameter and the effective elastic moduli of the medium. The derivation is based upon diagrammatic methods. The problem is formulated in terms of the Dyson equation, which is solved for the mean field response within the limits of the first-order smoothing approximation. The attenuations are given here in a direct way. The longitudinal and shear attenuations are discussed in terms of their frequency dependence and damage dependence. In particular, the effective elastic stiffness of statistical distribution of microcracks and the example results are discussed. The attenuations are shown to scale with the square of the damage parameter for low frequency.

Original language | English (US) |
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Pages (from-to) | 231-240 |

Number of pages | 10 |

Journal | Proceedings of SPIE - The International Society for Optical Engineering |

Volume | 4702 |

DOIs | |

State | Published - Jan 1 2002 |

Event | Smart Nondestructive Evaluation for Health Monitoring of Structural and Biological Systems - San Diego, CA, United States Duration: Mar 18 2002 → Mar 19 2002 |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering

### Cite this

**Scattering of ultrasound in damaged concrete.** / Yang, Liyong; Turner, Joseph A.

Research output: Contribution to journal › Conference article

*Proceedings of SPIE - The International Society for Optical Engineering*, vol. 4702, pp. 231-240. https://doi.org/10.1117/12.469881

}

TY - JOUR

T1 - Scattering of ultrasound in damaged concrete

AU - Yang, Liyong

AU - Turner, Joseph A.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - The scattering of elastic waves in a medium with damage from microcracking is discussed. A generalized tensor-based approach is used such that the results are coordinate free. The influence of damage from penny-shaped microcracks within a homogeneous medium is considered. The microcracks are assumed to be randomly oriented and uniformly distributed. Explicit expressions are derived for the attenuation of longitudinal and shear elastic waves in terms of the statistics damage parameter and the effective elastic moduli of the medium. The derivation is based upon diagrammatic methods. The problem is formulated in terms of the Dyson equation, which is solved for the mean field response within the limits of the first-order smoothing approximation. The attenuations are given here in a direct way. The longitudinal and shear attenuations are discussed in terms of their frequency dependence and damage dependence. In particular, the effective elastic stiffness of statistical distribution of microcracks and the example results are discussed. The attenuations are shown to scale with the square of the damage parameter for low frequency.

AB - The scattering of elastic waves in a medium with damage from microcracking is discussed. A generalized tensor-based approach is used such that the results are coordinate free. The influence of damage from penny-shaped microcracks within a homogeneous medium is considered. The microcracks are assumed to be randomly oriented and uniformly distributed. Explicit expressions are derived for the attenuation of longitudinal and shear elastic waves in terms of the statistics damage parameter and the effective elastic moduli of the medium. The derivation is based upon diagrammatic methods. The problem is formulated in terms of the Dyson equation, which is solved for the mean field response within the limits of the first-order smoothing approximation. The attenuations are given here in a direct way. The longitudinal and shear attenuations are discussed in terms of their frequency dependence and damage dependence. In particular, the effective elastic stiffness of statistical distribution of microcracks and the example results are discussed. The attenuations are shown to scale with the square of the damage parameter for low frequency.

UR - http://www.scopus.com/inward/record.url?scp=0036030292&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036030292&partnerID=8YFLogxK

U2 - 10.1117/12.469881

DO - 10.1117/12.469881

M3 - Conference article

AN - SCOPUS:0036030292

VL - 4702

SP - 231

EP - 240

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

SN - 0277-786X

ER -