References
A.Chudnovsky and B.Kunin, Journal of Applied Physics 62 (1987) 4124–4129.
B.Kunin and M.Gorelik, Journal of Applied Physics 70 (1991) 7651–7653.
J.M.Ziman, Models of Disorder, Cambridge University, New York (1979).
B.B.Mandelbrot, D.E.Passoja and A.J.Paullay, Nature 308 (1984) 721–722.
A.S.Balankin, Synergetics of Deformed Solids, Dep. of Defense USSR Press, Moscow (1992).
V.S.Ivanova, A.S.Balankin, I.J.Bunin and A.A.Oksogoev, Synergetics and Fractals in the Material Science, Nauka, Moscow (1994); English version will be published by Gordon & Breach in 1997.
A.S.Balankin and P.Tamayo, Revista Mexicana de Física 40 (1994) 506–532.
A.S.Balankin, Soviet Physics Solid State 34 (1992) 658–667.
G.P.Cherepanov, A.S.Balankin and V.S.Ivanova, Engineering Fracture Mechanics 52 (1995) 997–1033.
A.Carpinteri and B.Chiaia, International Journal of Fracture 76 (1996) 327–340.
A.S. Balankin and F. Sandoval, Revista Mexicana de Física, to appear.
A.S.Balankin, Revista Mexicana de Física 41 (1995) 473–479.
A.S.Balankin, Revista Mexicana de Física 42 (1996) 161–171.
A.S. Balankin, Philosophical Magazine Letters, 74 (dy1996) N 6.
A.S. Balankin and A. Bravo, in Proceeding I IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials, August 29–September 1, 1995, Paris, France, Kluver (1996).
A.S.Balankin, International Journal of Fracture 76 (1996) R63-R70.
A.S. Balankin, A. Bravo, M.A. Galicia and O. Susarey, International Journal of Fracture, to appear.
A.S. Balankin, Engineering Fracture Mechanics, to appear (1996).
J.Kertész, V.K.Horváth and F.Weber, Fractals 1 (1993) 67–74.
J.Schmittbuhl, J.-P.Volotte and S.Roux, Physical Review E 51 (1995) 131–147.
K.S.Miller and B.Ross, Fractional Calculus and Fractional Integrals, Wiley, New York (1993).
R.P.Feynman and H.E.Roman, Quantum Mechanics and Path Integrals, McGraw Hill, New York (1965).
M.Matsushita, S.Ouchi and K.Honda, Journal of the Physical Society of Japan 60 (1991) 2109–2112.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Balankin, A.S., Susarey, O. Statistical topography of the set of admissible crack paths in a brittle solid. Int J Fract 81, R27–R32 (1996). https://doi.org/10.1007/BF00033183
Issue Date:
DOI: https://doi.org/10.1007/BF00033183