Surface tortuosity and its application to analyzing cracks in concrete
Tong Zhang, George Nagy
Abstract
Tong Zhang, George Nagy
Abstract
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.
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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.
Key concepts: Tortuosity, Surface (topology), Materials science, Geology, Geometry, Composite material, Mathematics, Porosity