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Creep rupture due to thermally induced cracking

Published online by Cambridge University Press:  05 April 2013

Naoki Yoshioka ,
Ferenc Kun  and
Nobuyasu Ito
Naoki Yoshioka
Affiliation:
Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwake-cho, 606-8502 Kyoto, Japan.
Ferenc Kun
Affiliation:
Department of Theoretical Physics, University of Debrecen, H-4010 Debrecen, P.O.Box: 5, Hungary.
Nobuyasu Ito
Affiliation:
Department of Applied Physics, Graduate School of Engineering, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, 113-8656 Tokyo, Japan.
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Abstract

We study sub-critical fracture driven by thermally activated crack nucleation in the framework of a fiber bundle model. Based on analytic calculations and computer simulations we show that in the presence of stress inhomogeneities, thermally activated cracking results in an anomalous size effect, i.e. the average lifetime of the system decreases as a power law of the system size, where the exponent depends on the external load and on the temperature. We propose a modified form of the Arrhenius law which provides a comprehensive description of the load, temperature, and size dependence of the lifetime of the system. On the micro-level, thermal fluctuations trigger bursts of breaking events which form a stochastic time series as the system evolves towards failure. Numerical and analytical calculations revealed that both the size of bursts and the waiting times between consecutive events have power law distributions, however, the exponents depend on the load and temperature. Analyzing the structural entropy and the location of consecutive bursts we show that in the presence of stress concentration the acceleration of the rupture process close to failure is the consequence of damage localization.

Keywords

fracturegeologicbiological simulationphase transformation
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1535: Symposium a – Proceedings of the Multiscale Materials Modeling 2012 Conference , 2013 , mmm12-a-0262
Copyright
Copyright © Materials Research Society 2013 

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References

REFERENCES

Guarino, A., Garcimartin, A., and Ciliberto, S., Europhys. Lett. 47, 456 (1999).Google Scholar
Scorretti, R., Ciliberto, S., and Guarino, A., Europhys. Lett. 55, 626 (2001).CrossRefGoogle Scholar
Saichev, A. and Sornette, D., Phys. Rev. E 71, 016608 (2005).CrossRefGoogle Scholar
Roux, S., Phys. Rev. E 62, 6164 (2000).CrossRefGoogle Scholar
Coleman, B. D., Trans. Soc. Rheol. 1, 153 (1957); J. Appl. Phys. 29, 968(1958).Google Scholar
Phoenix, S. L. and Tierney, L. J., Eng. Fract. Mech. 18, 193 (1983).CrossRefGoogle Scholar
Newman, W. I. and Phoenix, S. L., Phys. Rev. E 63, 021507 (2001).CrossRefGoogle Scholar
Curtin, W. A. and Scher, H., Phys. Rev. B 55, 12038 (1997).Google Scholar
Hidalgo, R. C., et al. ., Phys. Rev. E 65, 046148 (2002).CrossRefGoogle Scholar
Yoshioka, N., Kun, F., and Ito, N., Phys. Rev. Lett. 101, 145502 (2008).CrossRefGoogle Scholar
Yoshioka, N., Kun, F., and Ito, N., Phys. Rev. E 82, 055102(R) (2010).CrossRefGoogle Scholar
Yoshioka, N., Kun, F., and Ito, N., Europhys. Lett. 97, 26006 (2012).CrossRefGoogle Scholar
Kun, F., Carmona, H. A., Andrade, J. S. Jr., and Herrmann, H. J., Phys. Rev. Lett. 100, 094301 (2008).CrossRefGoogle Scholar
Kloster, M., Hansen, A., and Hemmer, P. C., Phys. Rev. E 56, 2615 (1997).CrossRefGoogle Scholar
Kovács, K., Nagy, S., Hidalgo, R. C., Kun, F., Herrmann, H. J., and Pagonabarraga, I., Phys. Rev. E 77, 036102 (2008).CrossRefGoogle Scholar