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Fractal dimension as a measure of roughness of concrete fracture trajectories

Hammad, A.M. / Issa, M.A.

AbstractIn this article, fractal characterization of concrete and mortar fracture trajectories is carried out. These trajectories were either sectioned from a replica of the fracture surface, profiled from a digitized image of the fracture surface, or generated via fractional Brownian motion simulation. Compact tension fractured concrete specimens with three different maximum aggregate sizes ( $d max = 4.7, 18.8, and 37.5 mm$ ) and a projected fracture area (ligament area) of 125 × 367.5 mm were analyzed. Two methods, step divider and variogram, were utilized to evaluate the fractal dimension of the fracture trajectories. The fractal dimensions of concrete fracture trajectories calculated using these methods were in the range of 1.07 to 1.25. The variogram method yielded higher values than the step divider method. Synthetic profiles generated via fractional integrals of Brownian motion showed a good visual similarity to the actual fracture profiles. Advanced Cement Based Materials 1994; 1, 169–177

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Fractal dimension as a measure of roughness of concrete fracture trajectories

Hammad, A.M. / Issa, M.A.

AbstractIn this article, fractal characterization of concrete and mortar fracture trajectories is carried out. These trajectories were either sectioned from a replica of the fracture surface, profiled from a digitized image of the fracture surface, or generated via fractional Brownian motion simulation. Compact tension fractured concrete specimens with three different maximum aggregate sizes ( $d max = 4.7, 18.8, and 37.5 mm$ ) and a projected fracture area (ligament area) of 125 × 367.5 mm were analyzed. Two methods, step divider and variogram, were utilized to evaluate the fractal dimension of the fracture trajectories. The fractal dimensions of concrete fracture trajectories calculated using these methods were in the range of 1.07 to 1.25. The variogram method yielded higher values than the step divider method. Synthetic profiles generated via fractional integrals of Brownian motion showed a good visual similarity to the actual fracture profiles. Advanced Cement Based Materials 1994; 1, 169–177

Fractal dimension as a measure of roughness of concrete fracture trajectories

Hammad, A.M. / Issa, M.A.

AbstractIn this article, fractal characterization of concrete and mortar fracture trajectories is carried out. These trajectories were either sectioned from a replica of the fracture surface, profiled from a digitized image of the fracture surface, or generated via fractional Brownian motion simulation. Compact tension fractured concrete specimens with three different maximum aggregate sizes ( $d max = 4.7, 18.8, and 37.5 mm$ ) and a projected fracture area (ligament area) of 125 × 367.5 mm were analyzed. Two methods, step divider and variogram, were utilized to evaluate the fractal dimension of the fracture trajectories. The fractal dimensions of concrete fracture trajectories calculated using these methods were in the range of 1.07 to 1.25. The variogram method yielded higher values than the step divider method. Synthetic profiles generated via fractional integrals of Brownian motion showed a good visual similarity to the actual fracture profiles. Advanced Cement Based Materials 1994; 1, 169–177

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Title:

Fractal dimension as a measure of roughness of concrete fracture trajectories

Contributors:

Hammad, A.M. (author) / Issa, M.A. (author)

Published in:

Advanced Cement Based Materials ; 1 ; 169-177

Publication date:

1994-01-04

Size:

9 pages

ISSN:

DOI:

https://doi.org/10.1016/1065-7355(94)90008-6

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Concrete , Fractal dimension , Fracture surface , Mortar , Roughness , Step divider method , Synthetic profiles , Variogram

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