Elastic waves in random-fibre networks

J. Åström, Markku Kellomäki, Jussi Timonen

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)6601 - 6613
Number of pages13
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number19
DOIs
Publication statusPublished - 1997
MoE publication typeA1 Journal article-refereed

Fingerprint

Elastic Waves
Elastic waves
elastic waves
Fiber
stiffness
Stiffness
fibers
Fibers
Acoustic wave velocity
Wavefronts
One-dimensional Model
acoustic velocity
Wave Front
travel
Vanish
Propagation
low frequencies
Numerical Simulation
Decrease
propagation

Keywords

  • elsatic waves
  • waves
  • wave propagation
  • fibers
  • networks
  • fibre networks

Cite this

Åström, J. ; Kellomäki, Markku ; Timonen, Jussi. / Elastic waves in random-fibre networks. In: Journal of Physics A: Mathematical and General. 1997 ; Vol. 30, No. 19. pp. 6601 - 6613.
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Åström, J, Kellomäki, M & Timonen, J 1997, 'Elastic waves in random-fibre networks', 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.

In: Journal of Physics A: Mathematical and General, Vol. 30, No. 19, 1997, p. 6601 - 6613.

Research output: Contribution to journalArticleScientificpeer-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

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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 -