Fracture statistics in the three-dimensional random fuse model
Source abstract
Abstract
We present numerical simulations for the fracture of the three dimensional random fuse model. The damage accumulated prior to fracture follows a Gaussian distribution, suggesting the absence of long-range correlations. The strength distribution is found to be Lognormal with a logarithmic size effect for the average strength. We relate this result with the distribution of damage clusters.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Theoretical and Computational Physics · Statistical Mechanics and Entropy · Probabilistic and Robust Engineering Design
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (29)
Show source-provided references
1. L. Arcangelis de · Journal de Physique Letters · 1985 · 46 · 58510.1051/jphyslet:019850046013058500 ↗
2. L. Arcangelis de · Physical Review B · 1989 · 40 · 87710.1103/PhysRevB.40.877 ↗
3. G.G. Batrouni · Physical Review Letter · 1998 · 80 · 32510.1103/PhysRevLett.80.325 ↗
4. P.D. Beale · Physical Review B · 1988 · 37 · 278510.1103/PhysRevB.37.2785 ↗
5. P.D. Beale · Physical Review B · 1988 · 37 · 550010.1103/PhysRevB.37.5500 ↗
6. A. Delaplace · Journal of Mechanics and Physics of Solids · 1996 · 44 · 9910.1016/0022-5096(95)00062-3 ↗
7. P.M. Duxbury · Physical Review Letters · 1986 · 57 · 105210.1103/PhysRevLett.57.1052 ↗
8. P.M. Duxbury · Physical Review B · 1987 · 36 · 36710.1103/PhysRevB.36.367 ↗
9. A. Hansen · Physical Letter A · 1994 · 184 · 39410.1016/0375-9601(94)90511-8 ↗
10. Herrmann H.J., Roux S. (eds.), (1990). Statistical Models for the Fracture of Disordered Media, Amsterdam, North-Holland. Bardhan, K.K., Chakrabarti, B.K. and Hansen, A. (eds.), (1994). Non-linearity and Breakdown in Soft Condensed Matter, Springer Verlag, Berlin. Chakrabarti, B.K. and Benguigui, L.G. (1997). Statistical Physics of Fracture and Breakdown in Disordered Systems Oxford University Press, Oxford. Krajcinovic, D. and van Mier, (2000). Damage and Fracture of Disordered Materials, Springer Verlag, New York.
11. A.S. Jayatilaka · Journal of Material Science · 1977 · 12 · 142610.1007/BF00540858 ↗
12. B. Kahng · Physical Review B · 1988 · 37 · 762510.1103/PhysRevB.37.7625 ↗
13. N. Lissart · Journal of Material Science · 1997 · 32 · 610710.1023/A:1018600119250 ↗
14. P.K.V.V. Nukala · Journal of Physics A: Mathematical and General · 2003 · 36 · 1140310.1088/0305-4470/36/45/004 ↗
15. P.K.V.V. Nukala · European Physical Journal B · 2004 · 37 · 9110.1140/epjb/e2004-00033-1 ↗
16. P.K.V.V. Nukala · Journal Physics A: Mathematical and General · 2004 · 37 · 209310.1088/0305-4470/37/6/009 ↗
17. Nukala, S., Nukala, P.K.V.V. and Guess, F. unpublished.
18. Nukala P.K.V.V., Simunovic S., Zapperi S. (2004). Journal of Statistical Mechanics: Theory and Experiment P08001.10.1088/1742-5468/2004/08/P08001 ↗
19. P.K.V.V. Nukala · Physical Review E · 2005 · 71 · 06610610.1103/PhysRevE.71.066106 ↗
20. N. Orlovskaja · Journal of Material Science · 1997 · 32 · 190310.1023/A:1018521310570 ↗
21. H. Peterlik · Engineering Fracture Mechanics · 2001 · 68 · 25310.1016/S0013-7944(00)00110-7 ↗
22. V.I. Räisänen · Physical Review B · 1998 · 58 · 1428810.1103/PhysRevB.58.14288 ↗
23. V.I. Räisänen · Physical Review Letters · 1998 · 80 · 32910.1103/PhysRevLett.80.329 ↗
24. T. Ramstad · Physical Review E · 2004 · 70 · 03612310.1103/PhysRevE.70.036123 ↗
25. S. Roux · Journal Statistical Physics · 1988 · 52 · 23710.1007/BF01016411 ↗
26. M. Sahimi · Physical Review B · 1986 · 33 · 784810.1103/PhysRevB.33.7848 ↗
27. L.S. Sigl · Zeitschrift für Metallkunde · 1992 · 83 · 518
28. W. Weibull · Journal of Applied Mechanics · 1951 · 18 · 29310.1115/1.4010337 ↗
29. Zapperi, S., Ray, P., Stanley, H.E. and Vespignani, A. (1999). Physical Review Letters 78, 1408 (1997); Phys. Rev. E 59, 5049.10.1103/PhysRevE.59.5049 ↗