Abstract
The article presents the results of strength, stereological and fractographical tests and examinations carried out on concretes made based on two coarse aggregates: basalt and gravel types. A relationship was demonstrated to exist between the strength characteristics of concretes and the fractal dimension, as determined by the chord method. The concrete of poorer strength properties had higher fractal dimension values of its fractures, whereas the concrete of the best strength parameters was characterized by the lowest fractal dimension value. A relationship was found between the stereological parameters (the mortar fraction, V Vmor , the coarse aggregate relative area, S VC , and the air pore relative area, S VP ) and the fracture surface morphology described by the fractal dimension, as determined by the chord method, D C .
Highlights
One of the possibilities of the quantitative investigation of concrete structure is the analysis of the surface morphology of fractures formed during cracking
A relationship was found between the stereological parameters and the fracture surface morphology described by the fractal dimension, as determined by the chord method, DC
Fractal analysis confirms that the profile lines of concrete fractures are fractals and can be subject to any operations that are specific to fractal geometry
Summary
One of the possibilities of the quantitative investigation of concrete structure is the analysis of the surface morphology of fractures formed during cracking. The highest fractal dimension value was obtained for broken aggregate concrete (D = 2.121), the intermediate value for cobble aggregate concrete (D = 2.083) and the lowest value for lightweight aggregate concrete (D = 2,072) In their tests on gravel aggregate and basalt aggregate concretes, Saouma and Barton (1994) have found that with www.ccsenet.org/jgg. Another example of seeking for a relationship between the compressive strength and the fractal dimension is the study of Ficker (2008) In his investigation of cement gel, he presented an equipotential dependence of compressive strength on the fractal dimension, which was obtained with a correlation coefficient of 0.978. The author demonstrated that the fractal dimension increased equipotentially (R = 0.979) as the water-cement ratio decreased Another relationship between the fracture mechanics parameters and the fractal dimension was the subject of study (Zhang & Wei, 2010a). Modelling applies to fatigue fractures (Carpinteri et al, 2008)
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