Effects of the orientational distribution of cracks in isotropic solids

Engineering Fracture Mechanics

Volumn 74, Issue 13, 2007, Pages 1983-2003

  Giordano, Stefano ^a,b   Colombo, Luciano ^a,b  

^a UNIVERSITY OF CAGLIARI   (Italy)

^b INFM   (Italy)

Author keywords

Cracks distribution; Elastic homogenisation; Fracture mechanics; Order parameters

Indexed keywords

CHARACTERIZATION; COMPOSITE MICROMECHANICS; COMPUTER SIMULATION; DIFFERENCE EQUATIONS; ELASTIC MODULI; ELASTICITY; MICROCRACKS; STRAIN; STRESSES;

CRACK DISTRIBUTION; CRACKS DENSITY; ORIENTATIONAL DISTRIBUTION;

FRACTURE MECHANICS;

CHARACTERIZATION; COMPOSITE MICROMECHANICS; COMPUTER SIMULATION; DIFFERENCE EQUATIONS; ELASTIC MODULI; ELASTICITY; FRACTURE MECHANICS; MICROCRACKS; STRAIN; STRESSES;

EID: 34047218947     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2006.10.006     Document Type: Article

References (21)

1. Kachanov M., and Sevostianov I. On quantitative characterization of microstructures and effective properties. Int J Solids Struct 42 (2005) 309-336
2. Markov K.Z. Elementary micromechanics of heterogeneous media. In: Markov K.Z., and Preziozi L. (Eds). Heterogeneous media: micromechanics modeling methods and simulations (2000), Birkhauser, Boston 1-162
3. Walpole L.J. Elastic behaviour of composite materials: theoretical foundations. Adv Appl Mech 11 (1981) 169-242
4. Hashin Z. Analysis of composite materials a survey. J Appl Mech 50 (1983) 481-505
5. Berryman J.G. Long wavelength propagation in composite elastic media. I. Spherical inclusions. II. Ellipsoidal inclusions. J Acoust Soc Am 68 (1980) 1809-1819 1820-1831
6. Avellaneda M., and homogenisation I. differential effective medium theory and applications. Commun Pure Appl Math 40 (1987) 527-554
7. McLaughlin R. A study of the differential scheme for composite materials. Int J Engng Sci 15 (1977) 237-244
8. Giordano S. Differential schemes for the elastic characterisation of dispersions of randomly oriented ellipsoids. Eur J Mech A/Solids 22 (2003) 885-902
9. Budiansky B., and O'Connell R.J. Elastic moduli of a cracked solid. Int J Solids Struct 12 (1976) 81-97
10. Hudson J.A. Overall properties of a cracked solid. Math Proc Cambridge Philos Soc 88 (1980) 371-384
11. Kachanov M. Effective elastic properties of cracked solids: critical review of some basic concepts. Appl Mech Rev 45 (1992) 305-336
12. Sevostianov I., and Kachanov M. Plasma sprayed ceramic coatings: anisotropic elastic and conductive properties in relation to the microstructure; cross-property correlations. Mater Sci Engng - A 297 (2001) 235-243
13. Sevostianov I., Kachanov M., Ruud J., Lorraine P., and Dubois M. Quantitative characterization of microstructures of plasma-sprayed coatings and their conductive and elastic properties. Mater Sci Engng - A 386 (2004) 164-174
14. Pointer T., Liu E., and Hudson J.A. Seismic wave propagation in cracked porous media. Geophys J Int 142 (2000) 199-231
15. Tod S.R. The effects on seismic waves of interconnected nearly aligned cracks. Geophys J Int 146 (2001) 249-263
16. Nalla R.K., Kinney J.H., and Ritchie R.O. Effect of orientation on the in vitro fracture toughness of dentin: the role of toughening mechanisms. Biomaterials 24 (2003) 3955-3968
17. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc R Soc London Ser A 241 (1957) 376-396
18. Eshelby J.D. The elastic field outside an ellipsoidal inclusion. Proc R Soc London Ser A 252 (1959) 561-569
19. Mura T. Micromechanics of defects in solids (1987), Kluwer Academic Publishers, Dordrecht
20. Yang Q., Zhou W.Y., and Swoboda G. Asymptotic solutions of penny-shaped inhomogeneities in global Eshelby's tensor. Trans ASME 68 (2001) 740-750
21. Giordano S. Order and disorder in heterogeneous material microstructure: electric and elastic characterisation of dispersions of pseudo-oriented spheroids. Int J Engng Sci 43 (2005) 1033-1058