Gaussian Statistics of Fracture Surfaces

Details Gaussian Statistics of Fracture Surfaces Gaussian Statistics of Fracture Surfaces

2006-07-14

arxiv.org/abs/cond-mat/0607372v1

Physics

Condensed Matter

Materials Science

Scientific paper

10.1103/PhysRevE.75.016104

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.

Affiliated with

Also associated with

No associations

Rating

Gaussian Statistics of Fracture Surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gaussian Statistics of Fracture Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gaussian Statistics of Fracture Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96994