### Abstract

The complex Poisson's ratio plays an important role in characterizing the linear dynamic behaviour of solid materials, and occurs in a number of equations used for acoustical and vibration calculus. The ratio of the imaginary part to the real part of complex Poisson's ratio is referred to as Poisson's loss factor. The magnitude of the Poisson's loss factor is investigated in this paper for homogeneous, isotropic, linear solid viscoelastic materials with positive Poisson's ratio. The relation of the Poisson's loss factor to the material damping is determined. It is shown that the magnitude of the Poisson's loss factor is approximately proportional to the difference between the shear and bulk loss factors, and is a rational fractional function of the dynamic Poisson's ratio. In addition, relationships are developed which enable one to determine the approximate magnitude of the Poisson's loss factor from knowledge only of the shear loss factor and the dynamic Poisson's ratio. It is shown that the Poisson's loss factor is smaller than the shear loss factor usually by one order of magnitude at least. Moreover, it is pointed out that the Poisson's loss factor of a high loss and a low loss material may be about the same. Experimental data on two rubbers and a hard plastic are presented to verify the theoretical conclusions.

Original language | English |
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Pages (from-to) | 790-802 |

Number of pages | 13 |

Journal | Journal of Sound and Vibration |

Volume | 306 |

Issue number | 3-5 |

DOIs | |

Publication status | Published - Oct 9 2007 |

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### ASJC Scopus subject areas

- Engineering(all)
- Mechanical Engineering

### Cite this

**The Poisson's loss factor of solid viscoelastic materials.** / Pritz, T.

Research output: Contribution to journal › Article

*Journal of Sound and Vibration*, vol. 306, no. 3-5, pp. 790-802. https://doi.org/10.1016/j.jsv.2007.06.016

}

TY - JOUR

T1 - The Poisson's loss factor of solid viscoelastic materials

AU - Pritz, T.

PY - 2007/10/9

Y1 - 2007/10/9

N2 - The complex Poisson's ratio plays an important role in characterizing the linear dynamic behaviour of solid materials, and occurs in a number of equations used for acoustical and vibration calculus. The ratio of the imaginary part to the real part of complex Poisson's ratio is referred to as Poisson's loss factor. The magnitude of the Poisson's loss factor is investigated in this paper for homogeneous, isotropic, linear solid viscoelastic materials with positive Poisson's ratio. The relation of the Poisson's loss factor to the material damping is determined. It is shown that the magnitude of the Poisson's loss factor is approximately proportional to the difference between the shear and bulk loss factors, and is a rational fractional function of the dynamic Poisson's ratio. In addition, relationships are developed which enable one to determine the approximate magnitude of the Poisson's loss factor from knowledge only of the shear loss factor and the dynamic Poisson's ratio. It is shown that the Poisson's loss factor is smaller than the shear loss factor usually by one order of magnitude at least. Moreover, it is pointed out that the Poisson's loss factor of a high loss and a low loss material may be about the same. Experimental data on two rubbers and a hard plastic are presented to verify the theoretical conclusions.

AB - The complex Poisson's ratio plays an important role in characterizing the linear dynamic behaviour of solid materials, and occurs in a number of equations used for acoustical and vibration calculus. The ratio of the imaginary part to the real part of complex Poisson's ratio is referred to as Poisson's loss factor. The magnitude of the Poisson's loss factor is investigated in this paper for homogeneous, isotropic, linear solid viscoelastic materials with positive Poisson's ratio. The relation of the Poisson's loss factor to the material damping is determined. It is shown that the magnitude of the Poisson's loss factor is approximately proportional to the difference between the shear and bulk loss factors, and is a rational fractional function of the dynamic Poisson's ratio. In addition, relationships are developed which enable one to determine the approximate magnitude of the Poisson's loss factor from knowledge only of the shear loss factor and the dynamic Poisson's ratio. It is shown that the Poisson's loss factor is smaller than the shear loss factor usually by one order of magnitude at least. Moreover, it is pointed out that the Poisson's loss factor of a high loss and a low loss material may be about the same. Experimental data on two rubbers and a hard plastic are presented to verify the theoretical conclusions.

UR - http://www.scopus.com/inward/record.url?scp=34547958607&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547958607&partnerID=8YFLogxK

U2 - 10.1016/j.jsv.2007.06.016

DO - 10.1016/j.jsv.2007.06.016

M3 - Article

AN - SCOPUS:34547958607

VL - 306

SP - 790

EP - 802

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

SN - 0022-460X

IS - 3-5

ER -