论文信息 - Surface tortuosity and its application to analyzing cracks in concrete

Surface tortuosity and its application to analyzing cracks in concrete

Previous studies of tortuosity were restricted to a curve in 2D or 3D. We propose several measures of surface tortuosity based on surface normals and principal curvatures, and apply these measures to analyze the tortuosity of three-dimensional crack surfaces of concrete. We show that all crack surfaces are similar in tortuosity despite their different sizes and locations, while distinctive from various geometric surfaces.

Tong Zhang | George Nagy | G. Nagy | Tong Zhang

[1] Jan J. Koenderink,et al. Solid shape , 1990 .

[2] Alfred Gray,et al. Modern differential geometry of curves and surfaces with Mathematica (2. ed.) , 1998 .

[3] Edward J. Garboczi,et al. The Past, Present, and Future of the Computational Materials Science of Concrete | NIST , 2000 .

[4] S. Pizer,et al. Measuring tortuosity of the intracerebral vasculature from MRA images , 2003, IEEE Transactions on Medical Imaging.

[5] J. Mier. Fracture Processes of Concrete , 1997 .

[6] D. Kullmann,et al. Geometric and viscous components of the tortuosity of the extracellular space in the brain. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[7] Michael H. Goldbaum,et al. Measurement and classification of retinal vascular tortuosity , 1999, Int. J. Medical Informatics.

[8] G. Nagy,et al. Technique to measure 3D work-of-fracture of concrete in compression , 1999 .