Breaking-rate minimum predicts the collapse point of overloaded materials

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

Volumn 79, Issue 4, 2009, Pages

  Pradhan, Srutarshi ^a   Hemmer, Per C ^b  

^a SINTEF PETROLEUM RESEARCH   (Norway)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

BREAKING POINT; CONSTANT LOADS; CRITICAL LOAD; INDIVIDUAL FIBERS;

COMPOSITE MICROMECHANICS;

FIBERS;

EID: 66349135009     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.041148     Document Type: Article

References (18)

1. Statistical Models for the Fracture of Disordered Materials, edited by, H. J. Herrmann, and, S. Roux, (Elsevier, Amsterdam, 1990).
2. B. K. Chakrabarti and L. G. Benguigui, Statistical Physics and Breakdown in Disordered Systems (Oxford University Press, Oxford, 1997).
3. D. Sornette, Critical Phenomena in Natural Sciences (Springer-Verlag, Berlin, 2000).
4. M. Sahimi Heterogeneous Materials II: Nonlinear and Break-down Properties (Springer-Verlag, Berlin, 2003)
5. A. Petri, G. Paparo, A. Vespignani, A. Alippi, and M. Costantini, Phys. Rev. Lett. 73, 3423 (1994). 10.1103/PhysRevLett.73.3423
6. Modeling Critical and Catastrophic Phenomena in Geoscience, edited by, P. Bhattacharyya, and, B. K. Chakrabarti, (Springer-Verlag, Berlin, 2006).
7. P. C. Hemmer and A. Hansen, ASME Trans. J. Appl. Mech. 59, 909 (1992). 10.1115/1.2894060
8. S. Pradhan, A. Hansen, and P. C. Hemmer, Phys. Rev. Lett. 95, 125501 (2005) 10.1103/PhysRevLett.95.125501
9. S. Pradhan, A. Hansen, and P. C. Hemmer, Phys. Rev. E 74, 016122 (2006). 10.1103/PhysRevE.74.016122
10. P. C. Hemmer, A. Hansen, and S. Pradhan, "Rupture processes in fiber bundle models," Ref., pp. 27-55.
11. S. Pradhan and B. K. Chakrabarti, Phys. Rev. E 65, 016113 (2001) 10.1103/PhysRevE.65.016113
12. S. Pradhan, P. Bhattacharyya and B. K. Chakrabarti, Phys. Rev. E 66, 016116 (2002) 10.1103/PhysRevE.66.016116
13. P. Bhattacharyya, S. Pradhan and B. K. Chakrabarti, Phys. Rev. E 67, 046122 (2003). 10.1103/PhysRevE.67.046122
14. F. T. Peirce, J. Text. Inst. 17, 355 (1926).
15. H. E. Daniels, Proc. R. Soc. London, Ser. A 183, 405 (1945). 10.1098/rspa.1945.0011
16. R. L. Smith, Ann. Probab. 10, 137 (1982). 10.1214/aop/1176993919
17. S. L. Phoenix and R. L. Smith, Int. J. Solids Struct. 19, 479 (1983). 10.1016/0020-7683(83)90086-0
18. S. Pradhan and P. C. Hemmer, Phys. Rev. E 75, 056112 (2007). 10.1103/PhysRevE.75.056112