Self-similarity of crack propagation in inhomogeneous materials

Philosophical Magazine Letters

Volumn 79, Issue 4, 1999, Pages 187-193

  Diao, Xiaoxue ^a   Mai, Yiu Wing ^b  

^a MCGILL UNIVERSITY   (Canada)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; MICROCRACKING; MICROSTRUCTURE; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; STATISTICAL METHODS; WEIBULL DISTRIBUTION;

STATISTICAL EVOLUTION EQUATION;

CRACK PROPAGATION;

EID: 0032641828     PISSN: 09500839     EISSN: 13623036     Source Type: Journal    
DOI: 10.1080/095008399177426     Document Type: Article

References (13)

1. Altus, A., 1991, J. appl. mech. 58, 37.
2. Atkins, A. G., and Mai, Y.-W, 1985, Elastic and Plastic Fracture (Chichester, West Sussex; Ellis Horwood-Wiley), chapter 5.
3. Bazant, Z. P., 1995, J. Eng. Mater. Technol., 117, 361.
4. Carpinteri, A., 1994, Mech. Mater. 18, 89.
5. Cherepanov, G. P., Balankin, A. S., and Ivanova, V. S., 1995, Engng Frac. Mech., 51, 997.
6. Long, Q. Y., Li, S., and Lung, C. W., 1991, J. Phys. D, 24, 602.
7. Louis, E., Guinea, F., and Flores, F., 1985, Proceedings of the Sixth Symposium on the Fractal Nature of Fracture, Fractals in Physics, edited by L. Pietronero and S. Torsati (Amsterdam: North-Holland), pp. 177-181.
8. Mandelbrot, B. B., 1977, Fractals: Form, Chance and Dimension (San Francisco, California: Freeman)
9. Mandelbrot, B. B., 1982, The Fractal Geometry of Nature; (San Francisco, California: Freeman).
10. Mandelbrot, B. B., Pussaja, D. E., and Paully, A. J., 1984, Nature, 308, 721.
11. Pande, C. S., Richards, L. E., Louat, N., Dempsey, B. D., and Schwable, A. J., 1987, Acta metall., 35, 1633.
12. Risken, H., 1984, Fokker-Planck Equation: Methods of Solution and Application (New York: Springer).
13. Wang, K. G., 1996, Z. Phys. Kondens. Matter, 99, 593.