Intrinsic nature of anomalous crack roughening in an anisotropic brittle composite

被引:14
作者
Balankin, AS [1 ]
Matamoros, DM [1 ]
Campos, I [1 ]
机构
[1] Inst Politecn Nacl, UP Adolfo Lopez Mateos, Escuela Super Ingn Mecan & Elect, Secc Estudios Posgrado & Invest, Mexico City 07738, DF, Mexico
关键词
D O I
10.1080/095008300176290
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Crack traces in paper sheets obey different scaling behaviours, according to whether a crack grows along or across the machine direction of the paper. Cracks across the machine direction possess statistical self-affine invariance, governed by the local roughness (Hurst) exponent H < 1, whereas cracks growing along the machine direction display an anomalous roughening, characterized by different roughness exponents in the local and global scales. Although the local roughness exponent H does not depend on the crack orientation in a given paper, both the local (H < 1) and the global (alpha > H) exponents are dependent on the material structure. The cause of anomalous roughening is the intrinsically anomalous power spectrum (structure factor) of cracks growing along the fibres. A diffusion model of brittle crack growth in an anisotropic composite is developed.
引用
收藏
页码:165 / 172
页数:8
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