Some new results on fibre models

H. J. Herrmann, F. Kun, F. Raischel

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Fibre models are used as simple models to describe failure. They are based on the probability distribution of broken fibres. The load redistribution after a fibre yields can be global or local and the first case can often be solved analytically. We will present an interpolation between these the local and the global case and apply it to experimental situations like the compression of granular packings. Introducing viscoelastic fibres allows to describe the creep of wood. It is even possible to deal analytically with a gradual degradation of fibres and consider damage as well as healing. In this way Basquin's law of fatigue can be reproduced giving good agreement with measurements of asphalt samples in Brazil tests. The histograms of bursts and waiting times reveal universal laws that are independent on the material.

Original languageEnglish
Title of host publicationSolid Mechanics and its Applications
Pages263-272
Number of pages10
Volume10
DOIs
Publication statusPublished - 2009
EventIUTAM Symposium on Scaling in Solid Mechanics - Cardiff, United Kingdom
Duration: Jun 25 2007Jun 29 2007

Publication series

NameSolid Mechanics and its Applications
Volume10
ISSN (Print)18753507

Other

OtherIUTAM Symposium on Scaling in Solid Mechanics
CountryUnited Kingdom
CityCardiff
Period6/25/076/29/07

Fingerprint

fibers
Fibers
universal time
asphalt
healing
Brazil
Asphalt
histograms
Probability distributions
interpolation
bursts
Interpolation
Wood
Creep
Compaction
Fatigue of materials
degradation
damage
Degradation

ASJC Scopus subject areas

  • Aerospace Engineering
  • Automotive Engineering
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Acoustics and Ultrasonics

Cite this

Herrmann, H. J., Kun, F., & Raischel, F. (2009). Some new results on fibre models. In Solid Mechanics and its Applications (Vol. 10, pp. 263-272). (Solid Mechanics and its Applications; Vol. 10). https://doi.org/10.1007/978-1-4020-9033-2-25

Some new results on fibre models. / Herrmann, H. J.; Kun, F.; Raischel, F.

Solid Mechanics and its Applications. Vol. 10 2009. p. 263-272 (Solid Mechanics and its Applications; Vol. 10).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Herrmann, HJ, Kun, F & Raischel, F 2009, Some new results on fibre models. in Solid Mechanics and its Applications. vol. 10, Solid Mechanics and its Applications, vol. 10, pp. 263-272, IUTAM Symposium on Scaling in Solid Mechanics, Cardiff, United Kingdom, 6/25/07. https://doi.org/10.1007/978-1-4020-9033-2-25
Herrmann HJ, Kun F, Raischel F. Some new results on fibre models. In Solid Mechanics and its Applications. Vol. 10. 2009. p. 263-272. (Solid Mechanics and its Applications). https://doi.org/10.1007/978-1-4020-9033-2-25
Herrmann, H. J. ; Kun, F. ; Raischel, F. / Some new results on fibre models. Solid Mechanics and its Applications. Vol. 10 2009. pp. 263-272 (Solid Mechanics and its Applications).
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