Fractal fracture mechanics applied to materials engineering
作者： Lucas Maximo , Luiz Alkimin de Lacer
DOI: 10.5772/52511
关键词:
摘要: The Classical Fracture Mechanics (CFM) quantifies velocity and energy dissipation of a crack growth in terms the projected lengths areas along direction. However, fracture phenomenon, as nature, geometrical forms are normally irregular not easily characterized with regular Euclidean geometry. As an example this limitation, there is problem stable growth, by J-R curve [1, 2]. rising has been analyzed qualitative arguments 2, 3, 4] but no definite explanation realm EPFM provided.
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sci-hub.se 参考文章(36)
Feodor M. Borodich, Fracture Energy of Brittle and Quasi-brittle Fractal Cracks Proceedings of the Second IFIP Working Conference on Fractals in the Natural and Applied Sciences. pp. 61- 68 ,(1993)
Xie Heping, The fractal effect of irregularity of crack branching on the fracture toughness of brittle materials International Journal of Fracture. ,vol. 41, pp. 267- 274 ,(1989) , 10.1007/BF00018858
Jérôme Weiss, Self-affinity of fracture surfaces and implications on a possible size effect on fracture energy International Journal of Fracture. ,vol. 109, pp. 365- 381 ,(2001) , 10.1023/A:1011078531887
Fereydoon Family, Tamás Vicsek, Dynamics of Fractal Surfaces WORLD SCIENTIFIC. ,(1991) , 10.1142/1452
T.L. Anderson, Fracture Mechanics : Fundamentals and Applications NASA STI/Recon Technical Report A. ,vol. 92, pp. 40200- ,(2017) , 10.1201/9781315370293
Yuan-Cheng Fung, A first course in continuum mechanics ,(1969)
Michael Zaiser, Frederic Madani Grasset, Vasileios Koutsos, Elias C. Aifantis, Self-affine surface morphology of plastically deformed metals. Physical Review Letters. ,vol. 93, pp. 195507- ,(2004) , 10.1103/PHYSREVLETT.93.195507
H. H�bner, W. Jillek, Sub-critical crack extension and crack resistance in polycrystalline alumina Journal of Materials Science. ,vol. 12, pp. 117- 125 ,(1977) , 10.1007/BF00738476
E. Bouchaud, J.-P. Bouchaud, Fracture surfaces: Apparent roughness, relevant length scales, and fracture toughness. Physical Review B. ,vol. 50, pp. 17752- 17755 ,(1994) , 10.1103/PHYSREVB.50.17752
C. W. Lung, Z. Q. Mu, Fractal dimension measured with perimeter-area relation and toughness of materials. Physical Review B. ,vol. 38, pp. 11781- 11784 ,(1988) , 10.1103/PHYSREVB.38.11781