Elastic properties of solids containing elliptic cracks

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 5, 2008, Pages

  Giordano, Stefano ^a   Colombo, Luciano ^a  

^a UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 40749101741     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.054106     Document Type: Article

References (31)

1. A. A. Griffith, Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 10.1098/rsta.1921.0006 221, 163 (1920).
2. K. B. Broberg, Cracks and Fracture (Academic Press, London, 1999).
3. A. Mattoni, L. Colombo, and F. Cleri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.115501 95, 115501 (2005).
4. M. Kachanov and I. Sevostianov, Int. J. Solids Struct. IJSOAD 0020-7683 10.1016/j.ijsolstr.2004.06.016 42, 309 (2005).
5. Heterogeneous Media: Micromechanics Modeling Methods and Simulations, edited by, K. Z. Markov, and, L. Preziozi, (Birkhauser, Boston, 2000).
6. Z. Hashin and S. Shtrikman, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/0022-5096(62)90004-2 10, 335 (1962).
7. L. J. Walpole, Adv. Appl. Mech. AAMCAY 0065-2156 11, 169 (1981).
8. Z. Hashin, J. Appl. Mech. JAMCAV 0021-8936 50, 481 (1983).
9. M. Avellaneda, Commun. Pure Appl. Math. CPMAMV 0010-3640 10.1002/cpa.3160400502 40, 527 (1987).
10. R. McLaughlin, Int. J. Eng. Sci. IJESAN 0020-7225 10.1016/0020-7225(77) 90058-1 15, 237 (1977).
11. S. Giordano, Eur. J. Mech. A/Solids EJASEV 0997-7538 10.1016/S0997- 7538(03)00091-3 22, 885 (2003).
12. T. Pointer, E. Liu, and J. A. Hudson, Geophys. J. Int. GJINEA 0956-540X 10.1046/j.1365-246x.2000.00157.x 142, 199 (2000).
13. S. R. Tod, Geophys. J. Int. GJINEA 0956-540X 10.1046/j.1365-246X.2001. 00451.x 146, 249 (2001).
14. R. K. Nalla, J. H. Kinney, and R. O. Ritchie, Biomaterials BIMADU 0142-9612 10.1016/S0142-9612(03)00278-3 24, 3955 (2003).
15. N. A. Danova, S. A. Colopy, C. L. Radtke, V. L. Kalscheur, M. D. Markel, R. Vanderby, Jr., R. P. McCabe, A. J. Escarcega, and P. Muir, Bone (N.Y.) BONEDL 8756-3282 10.1016/S8756-3282(03)00155-8 33, 197 (2003).
16. S. Giordano and L. Colombo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.055503 98, 055503 (2007).
17. S. Giordano and L. Colombo, Eng. Fract. Mech. EFMEAH 0013-7944 74, 1983 (2007).
18. B. Budiansky and R. J. O'Connell, Int. J. Solids Struct. IJSOAD 0020-7683 10.1016/0020-7683(76)90044-5 12, 81 (1976).
19. J. A. Hudson, Math. Proc. Cambridge Philos. Soc. MPCPCO 0305-0041 88, 371 (1980).
20. M. Kachanov, Appl. Mech. Rev. AMREAD 0003-6900 45, 305 (1992).
21. I. Sevostianov and M. Kachanov, Mater. Sci. Eng., A MSAPE3 0921-5093 10.1016/S0921-5093(00)01022-4 297, 235 (2001).
22. I. Sevostianov, M. Kachanov, J. Ruud, P. Lorraine, and M. Dubois, Mater. Sci. Eng., A MSAPE3 0921-5093 10.1016/j.msea.2004.07.011 386, 164 (2004).
23. J. D. Eshelby, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1957.0133 241, 376 (1957).
24. J. D. Eshelby, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 252, 561 (1959).
25. T. Mura, Micromechanics of Defects in Solids (Kluwer Academic, Dordrecht, 1987).
26. Q. Yang, W. Y. Zhou, and G. Swoboda, Trans. ASME, J. Appl. Mech. JAMCAV 0021-8936 10.1115/1.1380676 68, 740 (2001).
27. S. Giordano and L. Colombo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.174120 76, 174120 (2007).
28. R. Lakes, Science SCIEAS 0036-8075 10.1126/science.235.4792.1038 235, 1038 (1987).
29. B. Shafiro and M. Kachanov, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.373579 87, 8561 (2000).
30. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, San Diego, 1965).
31. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970).