Computer simulation of fatigue under diametrical compression

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

Volumn 75, Issue 4, 2007, Pages

  Carmona, H A ^a,b   Kun, F ^c   Andrade, J S ^d   Herrmann, H J ^b  

^a STATE UNIVERSITY OF CEARÁ   (Brazil)

^b ETH ZURICH   (Switzerland)

^c UNIVERSITY OF DEBRECEN   (Hungary)

^d FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ASPHALT; COMPRESSIVE STRENGTH; FATIGUE CRACK PROPAGATION; FRACTURE MECHANICS; MATHEMATICAL MODELS; MICROCRACKS; TENSILE STRENGTH;

DISCRETE ELEMENT MODEL; MACROSCOPIC FAILURE; MICROSCOPIC MECHANISMS;

COMPUTER SIMULATION;

EID: 34247636689     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.046115     Document Type: Article

References (46)

1. M. J. Alava, P. K. V. V. Nukala, and S. Zapperi, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730300741518 55, 349 (2006).
2. Statistical Models for the Fracture of Disordered Media, edited by, H. J. Herrmann, and, S. Roux, (North-Holland, Amsterdam, 1990).
3. R. Shcherbakov and D. L. Turcotte, Theor. Appl. Fract. Mech. TAFME4 0167-8442 10.1016/S0167-8442(03)00005-3 39, 245 (2003).
4. D. L. Turcotte, Fractals and Chaos in Geology and Geophysics (Cambridge University Press, Cambridge, 1992).
5. L. de Arcangelis, A. Hansen, H. J. Herrmann, and S. Roux, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.877 40, 877 (1989).
6. A. Carpinteri and N. Pugno, Nat. Mater. NMAACR 1476-1122 10.1038/nmat1408 4, 421 (2005).
7. H. J. Herrmann, J. Kertész, and L. de Arcangelis, Europhys. Lett. EULEEJ 0295-5075 10, 147 (1989).
8. J. M. Matthews, C. L. Monismith, and J. Craus, J. Transp. Eng. JTPEDI 0733-947X 10.1061/(ASCE)0733-947X(1993)119:4(634) 119, 634 (1993).
9. J. S. Daniel and Y. R. Kim, J. Mater. Civ. Eng. JMCEE7 0899-1561 10.1061/(ASCE)0899-1561(2001)13:6(434) 13, 434 (2001).
10. S. Zhiming, D. N. Little, and R. L. Lytton, J. Mater. Civ. Eng. JMCEE7 0899-1561 10.1061/(ASCE)0899-1561(2002)14:6(461) 14, 461 (2002).
11. Y.-R. Kim, D. N. Little, and R. L. Lytton, J. Mater. Civ. Eng. JMCEE7 0899-1561 10.1061/(ASCE)0899-1561(2003)15:1(75) 15, 75 (2003).
12. R. Lundstrom, H. D. Benedetto, and U. Isacsson, J. Mater. Civ. Eng. JMCEE7 0899-1561 10.1061/(ASCE)0899-1561(2004)16:6(516) 16, 516 (2004).
13. M. Castro and J. A. Sánchez, J. Transp. Eng. JTPEDI 0733-947X 10.1061/(ASCE)0733-947X(2006)132:2(168) 132, 168 (2006).
14. F. Kun, M. H. S. Costa, R. N. Costa Filho, J. S. Andrade Jr., J. B. Soares, S. Zapperi, and H. J. Herrmann, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 P02 003 (2007).
15. O. H. Basquin, in Proceedings of the Thirteenth Annual Meeting (ASTM, Philadelphia, 1910), Vol. 10, pp. 625-630.
16. D. Sornette, T. Magnin, and Y. Bréchet, Europhys. Lett. EULEEJ 0295-5075 20, 433 (1992).
17. H. J. Lee, Y. R. Kim, and S. H. Kim, Struct. Eng. Mech. SEGMEQ 1225-4568 7, 225 (1999).
18. Y.-R. Kim and D. N. Little, J. Mater. Civ. Eng. JMCEE7 0899-1561 10.1061/(ASCE)0899-1561(2004)16:2(122) 16, 122 (2004).
19. Y. R. Kim, D. N. Little, and R. C. Burghardt, J. Mater. Civ. Eng. JMCEE7 0899-1561 3, 140 (1991).
20. S. Prager and M. Tirrel, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.441871 75, 5194 (1981).
21. Y. Q. Li and J. B. Metcalf, J. Mater. Civ. Eng. JMCEE7 0899-1561 10.1061/(ASCE)0899-1561(2002)14:4(303) 14, 303 (2002).
22. F. Kun and H. J. Herrmann, Comput. Methods Appl. Mech. Eng. CMMECC 0045-7825 10.1016/S0045-7825(96)01012-2 138, 3 (1996).
23. F. Kun and H. J. Herrmann, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183196000697 7, 837 (1996).
24. F. Kun and H. J. Herrmann, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.2623 59, 2623 (1999).
25. F. Kun, G. A. D'Addetta, H. J. Herrmann, and E. Ramm, Comp. Assist. Mech. Eng. Sc. CAMSF7 1232-308X 6, 385 (1999).
26. G. Lilliu and J. van Mier, in Construction Materials-Theory and Application (Ibidem Verlag, Stuttgart, 1999), pp. 123-128.
27. W. C. Zhu and C. A. Tang, Int. J. Rock Mech. Min. Sci. ZZZZZZ 1365-1609 43, 236 (2006).
28. A. Brara, F. Camborde, J. Klepaczko, and C. Mariotti, Mech. Mater. MSMSD3 0167-6636 10.1016/S0167-6636(00)00035-1 33, 33 (2001).
29. C. Thornton, M. T. Ciomocos, and M. J. Adams, Powder Technol. POTEBX 0032-5910 10.1016/j.powtec.2004.01.022 140, 258 (2004).
30. B. van de Steen and A. V. ad J. A. L. Napier, Int. J. Fract. IJFRAP 0376-9429 10.1007/s10704-004-3177-z 131, 35 (2005).
31. H. J. Herrmann, A. Hansen, and S. Roux, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.637 39, 637 (1989).
32. B. Skjetne, T. Helle, and A. Hansen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.125503 87, 125503 (2001).
33. J. A. Aström, R. P. Linna, J. Timonen, P. F. Moller, and L. Oddershede, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.026104 70, 026104 (2004).
34. R. P. Linna, J. A. Aström, and J. Timonen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.015601 72, 015601 (R) (2005).
35. G.-A. D'Addetta and E. Ramm, Granular Matter GRMAFE 1434-5021 10.1007/s10035-006-0004-4 8, 159 (2006).
36. J. A. Aström, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730600731907 55, 247 (2006).
37. G. D'Addetta, F. Kun, E. Ramm, and H. J. Herrmann, in Continuous and Discontinuous Modelling of Cohesive-Frictional Materials (Springer, Berlin, 2001), Vol. 568 of Springer Lecture Notes in Physics, pp. 231-258.
38. A. V. Potapov and C. S. Campbell, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183196000594 7, 717 (1996).
39. G. Lilliu and J. van Mier, Eng. Fract. Mech. EFMEAH 0013-7944 10.1016/S0013-7944(02)00158-3 70, 927 (2003).
40. S. Luding, Modelling of Cohesive-Frictional Materials (A. A. Balkema, 2004), Chap. Micro-Macro Models for Anisotropic Granular Media, pp. 195-206.
41. B. Skjetne, T. Helle, and A. Hansen, eprint cond-mat 0505633 (unpublished).
42. A. Caballero, I. Carol, and C. M. López, Fatigue Fract. Eng. Mater. Struct. FFESEY 8756-758X 10.1111/j.1460-2695.2006.01052.x 29, 979 (2006).
43. G. A. D'Addetta, Ph.D. thesis, Institut für Baustatik der Universität Stuttgart, Stuttgart, 2004.
44. B. Behera, F. Kun, S. McNamara, and H. J. Herrmann, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/17/24/005 17, S2439 (2005).
45. O. Tsoungui, D. Vallet, J.-C. Charmet, and S. Roux, Granular Matter GRMAFE 1434-5021 10.1007/s100350050030 2, 19 (1999).
46. D. Sornette and C. Vanneste, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.612 68, 612 (1992).