Failure due to fatigue in fiber bundles and solids

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 4 2, 2003, Pages 461241-461246

  Pradhan, Srutarshi ^a   Chakrabarti, Bikas K ^a  

^a SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CRACKS; FAILURE (MECHANICAL); FATIGUE OF MATERIALS; NUCLEATION; QUANTUM THEORY; STRESS ANALYSIS;

FIBER BUNDLES;

FIBERS;

EID: 0038203598     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. B.K. Chakrabarti and L.G. Benguigui, Statistical Physics of Fracture and Breakdown in Disorder Systems (Oxford University Press, Oxford, 1997); see also Statistical Models of Disordered Media, edited by H.J. Herrmann and S. Roux (North Holland, Amsterdam, 1990); M. Sahimi, Phys. Rep. 306, 213 (1980).
2. B.K. Chakrabarti and L.G. Benguigui, Statistical Physics of Fracture and Breakdown in Disorder Systems (Oxford University Press, Oxford, 1997); see also Statistical Models of Disordered Media, edited by H.J. Herrmann and S. Roux (North Holland, Amsterdam, 1990); M. Sahimi, Phys. Rep. 306, 213 (1980).
3. B.K. Chakrabarti and L.G. Benguigui, Statistical Physics of Fracture and Breakdown in Disorder Systems (Oxford University Press, Oxford, 1997); see also Statistical Models of Disordered Media, edited by H.J. Herrmann and S. Roux (North Holland, Amsterdam, 1990); M. Sahimi, Phys. Rep. 306, 213 (1980).
4. H.E. Daniels, Proc. R. Soc. London, Ser. A 183, 405 (1945); P.C. Hemmer and A. Hansen, J. Appl. Mech. 59, 909 (1992); S.L. Phoenix, Adv. Appl. Probab. 11, 153 (1979); R. da Silveira, Am. J. Phys. 67, 1177 (1999); R.C. Hidalgo, F. Kun, and H.J. Herrmann, Phys. Rev. E 64, 066122 (2001).
5. H.E. Daniels, Proc. R. Soc. London, Ser. A 183, 405 (1945); P.C. Hemmer and A. Hansen, J. Appl. Mech. 59, 909 (1992); S.L. Phoenix, Adv. Appl. Probab. 11, 153 (1979); R. da Silveira, Am. J. Phys. 67, 1177 (1999); R.C. Hidalgo, F. Kun, and H.J. Herrmann, Phys. Rev. E 64, 066122 (2001).
6. H.E. Daniels, Proc. R. Soc. London, Ser. A 183, 405 (1945); P.C. Hemmer and A. Hansen, J. Appl. Mech. 59, 909 (1992); S.L. Phoenix, Adv. Appl. Probab. 11, 153 (1979); R. da Silveira, Am. J. Phys. 67, 1177 (1999); R.C. Hidalgo, F. Kun, and H.J. Herrmann, Phys. Rev. E 64, 066122 (2001).
7. H.E. Daniels, Proc. R. Soc. London, Ser. A 183, 405 (1945); P.C. Hemmer and A. Hansen, J. Appl. Mech. 59, 909 (1992); S.L. Phoenix, Adv. Appl. Probab. 11, 153 (1979); R. da Silveira, Am. J. Phys. 67, 1177 (1999); R.C. Hidalgo, F. Kun, and H.J. Herrmann, Phys. Rev. E 64, 066122 (2001).
8. H.E. Daniels, Proc. R. Soc. London, Ser. A 183, 405 (1945); P.C. Hemmer and A. Hansen, J. Appl. Mech. 59, 909 (1992); S.L. Phoenix, Adv. Appl. Probab. 11, 153 (1979); R. da Silveira, Am. J. Phys. 67, 1177 (1999); R.C. Hidalgo, F. Kun, and H.J. Herrmann, Phys. Rev. E 64, 066122 (2001).
9. S. Pradhan and B.K. Chakrabarti, Phys. Rev. E 65, 016113 (2002); S. Pradhan, P. Bhattacharyya, and B.K. Chakrabarti, ibid. 66, 016116 (2002); P. Bhattacharyya, S. Pradhan, and B.K. Chakrabarti, Phys. Rev. E (to be published), e-print cond-mat/0207393.
10. S. Pradhan and B.K. Chakrabarti, Phys. Rev. E 65, 016113 (2002); S. Pradhan, P. Bhattacharyya, and B.K. Chakrabarti, ibid. 66, 016116 (2002); P. Bhattacharyya, S. Pradhan, and B.K. Chakrabarti, Phys. Rev. E (to be published), e-print cond-mat/0207393.
11. S. Pradhan and B.K. Chakrabarti, Phys. Rev. E 65, 016113 (2002); S. Pradhan, P. Bhattacharyya, and B.K. Chakrabarti, ibid. 66, 016116 (2002); P. Bhattacharyya, S. Pradhan, and B.K. Chakrabarti, Phys. Rev. E (to be published), e-print cond-mat/0207393.
12. See, e.g., B.R. Lawn, Fracture of Brittle Solids (Cambridge University Press, Cambridge, 1993).
13. B.D. Coleman, J. Appl. Phys. 29, 968 (1958).
14. L. Golubovic and S. Feng, Phys. Rev. A 43, 5223 (1991).
15. R. Banerjee and B.K. Chakrabarti, Bull. Mater. Sci. 24, 161 (2001); A. Guarino, S. Ciliberto, A. Garcimartin, M. Zei, and R. Scorretti, e-print cond-mat/0201257 (2002).
16. R. Banerjee and B.K. Chakrabarti, Bull. Mater. Sci. 24, 161 (2001); A. Guarino, S. Ciliberto, A. Garcimartin, M. Zei, and R. Scorretti, e-print cond-mat/0201257 (2002).
17. B.K. Chakrabarti in Nonlinearity and Breakdown in Soft Condensed Matter, edited by K.K. Bardhan, B.K. Chakrabarti, and A. Hansen (Springer-Verlag, Heidelberg, 1994), pp. 171-185.
18. S. Roux, Phys. Rev. E 62, 6164 (2000); R. Scorretti, S. Ciliberto, and A. Guarino, Europhys. Lett. 55, 626 (2001).
19. S. Roux, Phys. Rev. E 62, 6164 (2000); R. Scorretti, S. Ciliberto, and A. Guarino, Europhys. Lett. 55, 626 (2001).
20. T. Odagaki and K.C. Chang, Phys. Rev. B 30, 1612 (1984); I. Chang, Z. Lev, A.B. Harris, J. Adler, and A. Aharony, Phys. Rev. Lett. 74, 2094 (1995); I.Kh. Zharekeshev and B. Kramer, ibid. 79, 717 (1997); A. Kaneko and T. Ohtsuki, J. Phys. Soc. Jpn. 68, 1488 (1999).
21. T. Odagaki and K.C. Chang, Phys. Rev. B 30, 1612 (1984); I. Chang, Z. Lev, A.B. Harris, J. Adler, and A. Aharony, Phys. Rev. Lett. 74, 2094 (1995); I.Kh. Zharekeshev and B. Kramer, ibid. 79, 717 (1997); A. Kaneko and T. Ohtsuki, J. Phys. Soc. Jpn. 68, 1488 (1999).
22. T. Odagaki and K.C. Chang, Phys. Rev. B 30, 1612 (1984); I. Chang, Z. Lev, A.B. Harris, J. Adler, and A. Aharony, Phys. Rev. Lett. 74, 2094 (1995); I.Kh. Zharekeshev and B. Kramer, ibid. 79, 717 (1997); A. Kaneko and T. Ohtsuki, J. Phys. Soc. Jpn. 68, 1488 (1999).
23. T. Odagaki and K.C. Chang, Phys. Rev. B 30, 1612 (1984); I. Chang, Z. Lev, A.B. Harris, J. Adler, and A. Aharony, Phys. Rev. Lett. 74, 2094 (1995); I.Kh. Zharekeshev and B. Kramer, ibid. 79, 717 (1997); A. Kaneko and T. Ohtsuki, J. Phys. Soc. Jpn. 68, 1488 (1999).
24. P. Lee and I.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).
25. J. Rotvig, A.P. Jauho, and H. Smith, Phys. Rev. B 54, 17691 (1996); X.-G. Zhao, W.-X. Yan, and D.W. Hone, ibid. 57, 9849 (1998).
26. J. Rotvig, A.P. Jauho, and H. Smith, Phys. Rev. B 54, 17691 (1996); X.-G. Zhao, W.-X. Yan, and D.W. Hone, ibid. 57, 9849 (1998).