Analysis of Relationship between Porosity and Roughness of Surface Based on Fractal Model
Abstract
Based on fractal geometry, this paper established an experimental model of ballistic deposition using the two-dimensional teflon surface composed of particles, in order to probe into the relationship that the roughness and porosity of the surface correspond to the friction and gravity forces in the cases of varying slopes. The experiment tested the nonlinear growing, roughening and dynamic scaling record of the surface deposition image. 4,000 M6 nuts in a line were slid on a 1m×1m Teflon board placed in an angle to the horizontal plane and a photograph was taken for every falling. Then, the photographs were analyzed with digital image processing and photo calibration in MATLAB. The photo calibration and object detection have tried polynomial algorithm and Hough transform method. Also, the exponents for self-affine interfaces were verified according to the digital photography analysis. To an extent, the experimental study might reveal the relationships between roughness and porosity of a physical surface, which provided a first basis to conduct the mechanical analysis of relationship.