### Abstract

The propagation of the first displacement maximum of a semi-infinite wavetrain in a two-dimensional random-fibre network is analysed. Model calculations and numerical simulations are used for demonstrating that two qualitatively different wavefront velocities appear in the network. A transient wave, which travels fast and whose amplitude decreases exponentially, dominates the short-time behaviour when the bending stiffness of the fibres is small and the driving frequency is high. This mode can be described by a one-dimensional model. The transient-wave mode propagates even if the bending stiffness of the fibres vanishes, in which case the normal sound velocity is zero. The usual, and slower, effective medium mode always dominates at late times. It also dominates at short times if the driving frequency is low and/or the bending stiffness of the fibres is relatively high.

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

Pages (from-to) | 6601 - 6613 |

Number of pages | 13 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 30 |

Issue number | 19 |

DOIs | |

Publication status | Published - 1997 |

MoE publication type | A1 Journal article-refereed |

### Fingerprint

### Keywords

- elsatic waves
- waves
- wave propagation
- fibers
- networks
- fibre networks

### Cite this

*Journal of Physics A: Mathematical and General*,

*30*(19), 6601 - 6613. https://doi.org/10.1088/0305-4470/30/19/004

}

*Journal of Physics A: Mathematical and General*, vol. 30, no. 19, pp. 6601 - 6613. https://doi.org/10.1088/0305-4470/30/19/004

**Elastic waves in random-fibre networks.** / Åström, J.; Kellomäki, Markku; Timonen, Jussi.

Research output: Contribution to journal › Article › Scientific › peer-review

TY - JOUR

T1 - Elastic waves in random-fibre networks

AU - Åström, J.

AU - Kellomäki, Markku

AU - Timonen, Jussi

PY - 1997

Y1 - 1997

N2 - The propagation of the first displacement maximum of a semi-infinite wavetrain in a two-dimensional random-fibre network is analysed. Model calculations and numerical simulations are used for demonstrating that two qualitatively different wavefront velocities appear in the network. A transient wave, which travels fast and whose amplitude decreases exponentially, dominates the short-time behaviour when the bending stiffness of the fibres is small and the driving frequency is high. This mode can be described by a one-dimensional model. The transient-wave mode propagates even if the bending stiffness of the fibres vanishes, in which case the normal sound velocity is zero. The usual, and slower, effective medium mode always dominates at late times. It also dominates at short times if the driving frequency is low and/or the bending stiffness of the fibres is relatively high.

AB - The propagation of the first displacement maximum of a semi-infinite wavetrain in a two-dimensional random-fibre network is analysed. Model calculations and numerical simulations are used for demonstrating that two qualitatively different wavefront velocities appear in the network. A transient wave, which travels fast and whose amplitude decreases exponentially, dominates the short-time behaviour when the bending stiffness of the fibres is small and the driving frequency is high. This mode can be described by a one-dimensional model. The transient-wave mode propagates even if the bending stiffness of the fibres vanishes, in which case the normal sound velocity is zero. The usual, and slower, effective medium mode always dominates at late times. It also dominates at short times if the driving frequency is low and/or the bending stiffness of the fibres is relatively high.

KW - elsatic waves

KW - waves

KW - wave propagation

KW - fibers

KW - networks

KW - fibre networks

U2 - 10.1088/0305-4470/30/19/004

DO - 10.1088/0305-4470/30/19/004

M3 - Article

VL - 30

SP - 6601

EP - 6613

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 19

ER -