# An analysis of the changes to the mechanical and acoustical properties of paper caused by the damage mechanisms present in the fibre structure

Kao, David, Graham, Deryn and Pericleous, Koulis A.
(2007)
*An analysis of the changes to the mechanical and acoustical properties of paper caused by the damage mechanisms present in the fibre structure.*
14th International Congress on Sound and Vibration (ICSV14).
University of New South Wales.
ISBN 97807334 25165

## Abstract

This paper will analyse two of the likely damage mechanisms present in a paper fibre matrix when placed under controlled stress conditions: fibre/fibre bond failure and fibre failure. The failure process associated with each damage mechanism will be presented in detail focusing on the change in mechanical and acoustic properties of the surrounding fibre structure before and after failure. To present this complex process mathematically, geometrically simple fibre arrangements will be chosen based on certain assumptions regarding the structure and strength of paper, to model the damage mechanisms. The fibre structures are then formulated in terms of a hybrid vibro-acoustic model based on a coupled mass/spring system and the pressure wave equation. The model will be presented in detail in the paper. The simulation of the simple fibre structures serves two purposes; it highlights the physical and acoustic differences of each damage mechanism before and after failure, and also shows the differences in the two damage mechanisms when compared with one another.

The results of the simulations are given in the form of pressure wave contours, time-frequency graphs and the Continuous Wavelet Transform (CWT) diagrams. The analysis of the results leads to criteria by which the two damage mechanisms can be identified. Using these criteria it was possible to verify the results of the simulations against experimental acoustic data. The models developed in this study are of specific practical interest in the paper-making industry, where acoustic sensors may be used to monitor continuous paper production. The same techniques may be adopted more generally to correlate acoustic signals to damage mechanisms in other fibre-based structures.

Item Type: | Book Section |
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Additional Information: | This paper forms part of the published proceedings from 14th International Congress on Sound and Vibration, Cairns, Australia, 9-12 July 2007, Cairns, 2007 |

Uncontrolled Keywords: | damage mechanisms, paper fibre matrix, fibre/fibre bond failure, fibre failure, hybrid vibro-acoustic model, coupled mass/spring system, pressure wave contours, Continuous Wavelet Transform (CWT) |

Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

Pre-2014 Departments: | School of Computing & Mathematical Sciences > Department of Information Systems & Digital Media School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Department of Computer Systems Technology School of Computing & Mathematical Sciences > eCentre School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group |

Related URLs: | |

Last Modified: | 14 Oct 2016 09:03 |

URI: | http://gala.gre.ac.uk/id/eprint/1092 |

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