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Dynamic fracture model for acoustic emission

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Abstract.

We study the acoustic emission produced by micro-cracks using a two-dimensional disordered lattice model of dynamic fracture, which allows to relate the acoustic response to the internal damage of the sample. We find that the distributions of acoustic energy bursts decays as a power law in agreement with experimental observations. The scaling exponents measured in the present dynamic model can related to those obtained in the quasi-static random fuse model.

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References

  1. J. Sethna, K.A. Dahmen, C.R. Myers, Nature 410, 242 (2001)

    Article  Google Scholar 

  2. S. Field, J. Witt, F. Nori, X. Ling, Phys. Rev. Lett. 74, 1206 (1995)

    Article  Google Scholar 

  3. G. Durin, S. Zapperi, Phys. Rev. Lett. 84, 4705 (2000)

    Article  Google Scholar 

  4. M.C. Miguel, A. Vespignani, S. Zapperi, J. Weiss, J.R. Grasso, Nature 410, 667 (2001)

    Article  Google Scholar 

  5. A. Garcimartín, A. Guarino, L. Bellon, S. Ciliberto, Phys. Rev. Lett. 79, 3202 (1997)

    Article  Google Scholar 

  6. C. Maes, A. Van Moffaert, H. Frederix, H. Strauven, Phys. Rev. B 57, 4987 (1998)

    Article  Google Scholar 

  7. A. Petri, G. Paparo, A. Vespignani, A. Alippi, M. Costantini, Phys. Rev. Lett. 73, 3423 (1994)

    Article  Google Scholar 

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

    Article  Google Scholar 

  9. Statistical Models for the Fracture of Disordered Media, edited by H.J. Herrmann, S. Roux (North Holland, Amsterdam, 1990)

  10. L. de Arcangelis, S. Redner, H.J. Herrmann, J. Phys. Lett. Paris 46, L585 (1985)

  11. P.M. Duxbury, P.D. Beale, P.L. Leath, Phys. Rev. Lett. 57, 1052 (1986)

    Article  Google Scholar 

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

    Article  Google Scholar 

  13. S. Zapperi, P. Ray, H.E. Stanley, A. Vespignani, Phys. Rev. Lett. 78, 1408 (1997)

    Article  Google Scholar 

  14. S. Zapperi, A. Vespignani, H.E. Stanley, Nature (London) 388, 658 (1997)

    Article  Google Scholar 

  15. G. Caldarelli, F.D. Di Tolla, A. Petri, Phys. Rev. Lett. 77, 2503 (1996)

    Article  Google Scholar 

  16. V.I. Räisänen, M.J. Alava, R.M. Nieminen, Phys. Rev. B 58, 14288 (1998)

    Article  Google Scholar 

  17. See J. Fineberg, M. Marder, Phys. Rep. 313, 1 (1999), for a review on dynamic fracture

    Article  Google Scholar 

  18. M. Marder, X. Liu, Phys. Rev. Lett. 71, 2417 (1993)

    Article  Google Scholar 

  19. T.T. Rautiainen, M.J. Alava, K. Kaski, Phys. Rev. E 51, R2727 (1994)

  20. T. Martín, P. Español, M.A. Rubio, I. Zúñiga, Phys. Rev. E 61, 6120 (2000)

    Article  Google Scholar 

  21. R. Ahluwalia, G. Ananthakrishna, Phys. Rev. Lett. 86, 4076 (2001)

    Article  Google Scholar 

  22. Y. Huang , H. Saleur , C. Sammis, D. Sornette, Europhys. Lett. 41, 43 (1998)

    Google Scholar 

  23. P.C. Hemmer, A. Hansen, J. Appl. Mech. 59, 909 (1992)

    MATH  Google Scholar 

  24. H.A. Daniels, Proc. Roy. Soc. London A 183, 405 (1945)

    MathSciNet  MATH  Google Scholar 

  25. In quasistatic models, the damage displays a singular derivative when plotted against stress. This could also be found in our model if we invert the stress-strain curve. The peak in the curve translates into a singular derivative in the inverse curve

  26. The distribution of the “elastic” energy released in each avalanche was recently measured in the quasi-static FBM and found to decay as power law with exponent \(\beta\simeq 1.8\) [8], in agreement with our results

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Authors and Affiliations

  1. Dipartimento di Fisica,, Universitá di Roma 3,, via della Vasca Navale 84,, 00146 , Roma,, Italy

    M. Minozzi

  2. INFM UdR Roma 1, Dipartimento di Fisica,, Universitá “La Sapienza”,, P.le A. Moro 2,, 00185 , Roma,, Italy

    M. Minozzi & G. Caldarelli

  3. CNR Istituto di Acustica “O. M. Corbino”,, via del fosso del Cavaliere 100,, 00133 , Roma,, Italy

    M. Minozzi & L. Pietronero

  4. INFM UdR Roma 1 and SMC, Dipartimento di Fisica,, Universitá “La Sapienza”,, P.le A. Moro 2,, 00185, Roma,, Italy

    L. Pietronero & S. Zapperi

Authors
  1. M. Minozzi
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  2. G. Caldarelli
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  3. L. Pietronero
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  4. S. Zapperi
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Corresponding author

Correspondence to S. Zapperi.

Additional information

Received: 19 September 2003, Published online: 8 December 2003

PACS:

62.65. + k Acoustical properties of solids - 46.50. + a Fracture mechanics, fatigue and cracks

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Minozzi, M., Caldarelli, G., Pietronero, L. et al. Dynamic fracture model for acoustic emission. Eur. Phys. J. B 36, 203–207 (2003). https://doi.org/10.1140/epjb/e2003-00336-7

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  • DOI: https://doi.org/10.1140/epjb/e2003-00336-7

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