Skip to main content
SpringerLink
Log in

Scaling of the size and temporal occurrence of burst sequences in creep rupture of fiber bundles

  • Solids and Liquids
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract.

We present a detailed statistical analysis of the size and temporal occurrence of burst sequences in the creep rupture of a proposed linear viscoelastic fiber bundle model. According to the model, the burst sequences of fiber breaks display a power law asymptotic behavior analogous to that of the static-fracture [Kloster et al., Phys. Rev. E 56, 2615, (1997)]. Moreover, power law asymptotics apply to inter-arrival times between successive bursts with a universal exponent close to unity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • A. Guarino, S. Ciliberto, A. Garcimartín, R. Scorretti, Eur. Phys. J. B 26, 141 (2002); C. Maes, A. Van Moffaert, H. Frederix, H. Strauven, Phys. Rev. B 57, 4987 (1998); A. Vespignani, A. Petri, A. Alippi, G. Paparo, Fractals 3, 839 (1995)

    Article  ADS  Google Scholar 

  • J. Davidsen, S. Stanchits, G. Dresen, Phys. Rev. Lett. 98, 125502 (2007)

    Article  ADS  Google Scholar 

  • A. Saichev, D. Sornette, Phys. Rev. E 71, 016608 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  • F. Omori, Rep. Earth. Inv. Comm. 2, 103 (1894) (in Japanese)

    Google Scholar 

  • M. Gutenberg, C.F. Richter, Bull. Seismol. Soc. Amer 34, 185 (1944)

    Google Scholar 

  • S. Zapperi, P. Ray, H.E. Stanley, A. Vespignani, Phys. Rev. E 59, 5049 (1999); S. Zapperi, P. Ray, H.E. Stanley, A. Vespignani, Phys. Rev. Lett. 78, 1408 (1997); J.V. Andersen, D. Sornette, K.-T. Leung, Phys. Rev. Lett. 78, 2140 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  • T. Hirata, J. Geophys. Res. 92, 6215 (1987)

    Article  ADS  Google Scholar 

  • H. Nechad, A. Helmstetter, R. El Guerjouma, D. Sornette, Phys. Rev. Lett. 94, 045501 (2005)

    Article  ADS  Google Scholar 

  • B.D. Coleman, J. Appl. Phys. 29, 968 (1958)

    Article  ADS  Google Scholar 

  • H. Daniels, Proc. Royal Soc. A 183, 405 (1945)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • Statistical Models for the Fracture of Disordered Media, edited by H.J. Herrmann and S. Roux (North-Holland, Amsterdam, 1990); Modelling Critical and Catastrophic Phenomena in Geoscience, edited by P. Bhattacharyya, B.K. Chakrabarti (Springer-Verlag, Heidelberg, 2006)

  • R.C. Hidalgo, F. Kun, H.J. Herrmann, Phys. Rev. E 65, 032502 (2002); F. Kun, R.C. Hidalgo, H.J. Herrmann, K.F. Pál, Phys. Rev. E 67, 061802 (2003)

    Article  ADS  Google Scholar 

  • F. Kun, Y. Moreno, R.C. Hidalgo, H.J. Herrmann, Europhys. Lett. 63, 347 (2003)

    Article  ADS  Google Scholar 

  • R.C. Hidalgo, F.C. Kun, H.J. Herrmann, Physica A 347, 402 (2005)

    Article  ADS  Google Scholar 

  • A. Delaplace, S. Roux, G. Pijaudier-Cabot, J. Engng. Mech. 127, 646 (2001); T. Baxevanis, F. Dufour, G. Pijaudier-Cabot, Int. J. Frac. 141, 561 (2006); S. Roux, A. Delaplace, G. Pijaudier-Cabot, Physica A 270, 35 (1999)

    Article  Google Scholar 

  • M. Jirásek, Z.P. Bažant, Inelastic Analysis of Structures (John Wiley and Sons Ltd, Sussex, 2002)

  • A.J. Staverman, P. Schwarzl, Proc. Acad. Sc., The Netherlands 55, 486 (1952); M.A. Biot, J. Appl. Phys. 25, 1385 (1954); Z.P. Bažant, C. Huet, Int. J. Solids Struct. 36, 3993 (1999)

    Google Scholar 

  • T. Baxevanis, T. Katsaounis, Phys. Rev. E 75, 046104 (2007)

    Article  ADS  Google Scholar 

  • M. Kloster, A. Hansen, P.C. Hemmer, Phys. Rev. E 56, 2615 (1997)

    Article  ADS  Google Scholar 

  • S. Pradhan, A. Hansen, P.C. Hemmer, Phys. Rev. Lett. 95, 125501 (2005)

    Article  ADS  Google Scholar 

  • A. Hansen, P.C. Hemmer, Phys. Lett. A 184, 394 (1994)

    Article  ADS  Google Scholar 

  • L.I. Salminen, A.I. Tolvanen, M.J. Alava, Phys. Rev. Lett. 89, 185503 (2002)

    Article  ADS  Google Scholar 

  • A. Guarino, A. Garcimartín, S. Ciliberto, Eur. Phys. J. B 6, 13 (1998)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of Crete, Heraklion, 714 09, Greece

    Th. Baxevanis & Th. Katsaounis

  2. IACM, FORTH, Heraklion, 711 10, Greece

    Th. Katsaounis

Authors
  1. Th. Baxevanis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Th. Katsaounis
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Th. Baxevanis.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baxevanis, T., Katsaounis, T. Scaling of the size and temporal occurrence of burst sequences in creep rupture of fiber bundles. Eur. Phys. J. B 61, 153–157 (2008). https://doi.org/10.1140/epjb/e2008-00054-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2008-00054-8

PACS.

Search

Navigation