Fracture surfaces: Apparent roughness, relevant length scales, and fracture toughness.

作者: E. Bouchaud , J.-P. Bouchaud

DOI: 10.1103/PHYSREVB.50.17752

关键词:

摘要: The Griffith criterion is rewritten to account for the propagation of a self-affine crack. It shown that stress-field singularity in close vicinity crack tip involves an exponent -(${\mathit{d}}_{\mathit{F}}$-1)/2 instead -1/2. Furthermore, fracture toughness be related ratio maximum height ${\mathit{z}}_{\mathrm{max}}$ correlation length \ensuremath{\xi}.

参考文章(21)
Benoit B. Mandelbrot, Dann. E. Passoja, Alvin J. Paullay, Fractal character of fracture surfaces of metals Nature. ,vol. 308, pp. 721- 722 ,(1984) , 10.1038/308721A0
J. J. Mecholsky, D. E. Passoja, K. S. Feinberg-Ringel, Quantitative Analysis of Brittle Fracture Surfaces Using Fractal Geometry Journal of the American Ceramic Society. ,vol. 72, pp. 60- 65 ,(1989) , 10.1111/J.1151-2916.1989.TB05954.X
Z Q Mu, C W Lung, Studies on the fractal dimension and fracture toughness of steel Journal of Physics D. ,vol. 21, pp. 848- 850 ,(1988) , 10.1088/0022-3727/21/5/031
R.H. Dauskardt, F. Haubensak, R.O. Ritchie, On the interpretation of the fractal character of fracture surfaces Acta Metallurgica et Materialia. ,vol. 38, pp. 143- 159 ,(1990) , 10.1016/0956-7151(90)90043-G
E Bouchaud, G Lapasset, J Planès, Fractal Dimension of Fractured Surfaces: A Universal Value? EPL. ,vol. 13, pp. 73- 79 ,(1990) , 10.1209/0295-5075/13/1/013
Knut Jørgen Måløy, Alex Hansen, Einar L. Hinrichsen, Stéphane Roux, Experimental measurements of the roughness of brittle cracks. Physical Review Letters. ,vol. 68, pp. 213- 215 ,(1992) , 10.1103/PHYSREVLETT.68.213
A. Imre, T. Pajkossy, L. Nyikos, Electrochemical determination of the fractal dimension of fractured surfaces Acta Metallurgica Et Materialia. ,vol. 40, pp. 1819- 1826 ,(1992) , 10.1016/0956-7151(92)90168-E
Jean Schmittbuhl, Sylvie Gentier, Stéphane Roux, Field measurements of the roughness of fault surfaces Geophysical Research Letters. ,vol. 20, pp. 639- 641 ,(1993) , 10.1029/93GL00170
E. Bouchaud, G. Lapasset, J. Planès, S. Naveos, Statistics of branched fracture surfaces Physical Review B. ,vol. 48, pp. 2917- 2928 ,(1993) , 10.1103/PHYSREVB.48.2917
J. P. Bouchaud, E. Bouchaud, G. Lapasset, J. Planès, Models of fractal cracks Physical Review Letters. ,vol. 71, pp. 2240- 2243 ,(1993) , 10.1103/PHYSREVLETT.71.2240