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26 April 2024 |
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Gaussian Statistics of Fracture Surfaces | | Stéphane Santucci
; Joachim Mathiesen
; Knut Jørgen Måløy
; Alex Hansen
; Jean Schmittbuhl
; Loic Vanel
; Arnaud Delaplace
; Jan Øistein Haavig Bakke
; Purusattam Ray
; PostScript
; PDF
; Other formats
; | | Date: |
14 Jul 2006 | | Subject: | Materials Science; Statistical Mechanics | | Abstract: | We analyse the statistical distribution function for the height fluctuations of brittle fracture surfaces using extensive experimental data sampled on widely different materials and geometries. We compare a direct measurement of the distribution to a new analysis based on the structure functions. For length scales $delta$ larger than a characteristic scale $delta^*$, we find that the distribution of the height increments $Delta h = h(x+ delta) -h(x)$ is Gaussian. Self-affinity enters through the scaling of the standard deviation $sigma$, which is proportional to $delta^zeta$ with a unique roughness exponent. Below the scale $delta^*$ we observe an effective multi-affine behavior of the height fluctuations and a deviation from a Gaussian distribution which is related to the discreteness of the measurement or of the material. | | Source: | arXiv, cond-mat/0607372 | | Services: | Forum | Review | PDF | Favorites | |
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