Fractal dimension for the characterization of the porosity of asphalt concretes

• Autorzy: Leonardi G.
• Języki publikacji: EN

Abstrakty

EN

In the design of asphalt mixtures for paving, the choice of components has a remarkable importance, as requirements of quality and durability must be assured in use, guaranteeing adequate standards of safety and comfort. In this paper, an approach of analysis on the aggregate materials using fractal geometry is proposed. Following an analytical and an experimental approach, it was possible to find a correlation between characteristics of the asphalt concrete (specific gravity and porosity) and the fractal dimension of the aggregate mixtures. The studies revealed that this approach allows to draw the optimal fractal dimension and, consequently, it can be used to choose an appropriate aggregate gradation for the specific application; once the appropriate initial physical parameters are finalized. This fractal approach could be employed for predicting the porosity of mixed asphalt concretes, given as input the fractal characteristics of the aggregate mixtures of the concrete materials.

Słowa kluczowe

EN

fractal geometry; porosity; mixture; aggregate; asphalt concrete; pavement

PL

geometria fraktalna; porowatość; mieszanka; kruszywo; beton asfaltowy; nawierzchnia

• Wydawca: Komitet Inżynierii Lądowej i Wodnej PAN ; Politechnika Warszawska, Wydział Inżynierii Lądowej
• Czasopismo: Archives of Civil Engineering
• Rocznik: 2010
• Tom: Vol. 56, nr 4
• Strony: 321--333
• Opis fizyczny: Bibliogr. 24 poz., il.

Twórcy

autor

Leonardi G.

• University of Reggio Calabria,

Bibliografia

• 1. C. ATZENI, et al., A geometrical fractal model for the porosity and permeability of hydraulic cement pastes, Construction and Building Materials, 2010.
• 2. D.N. WINSLOW, The fractal nature of the surface of cement paste. Cement and Concrete Research, 15, pp. 817-824, 1985.
• 3. R.A. LIVINGSTON, Fractal nucleation and growth model for the hydration of tricalcium silicate, Cement and Concrete Research, 30, pp. 1853-1860, 2000.
• 4. D.A. LANGE, et al., Image analysis techniques for characterization of pore structure of cement-based materials, Cement and Concrete Research, 24, pp. 841-853, 1994.
• 5. O. PANAGOULI, A. KOKKALIS, Skid resistance and fractal structure of pavement surface, Chaos, Solitons & Fractals, 9, pp. 493-505, 1998.
• 6. D. GIMÉNEZ, et al., Fractal models for predicting soil hydraulic properties: a review, Engineering Geology, 48, pp. 161-183, 1997.
• 7. C. ATZENI, et al., A fractal model of the porous microstructure of earth-based materials, Construction and Building Materials, 22, pp. 1607-1613, 2008.
• 8. S. HUANG, et al., Correlations and characterization of porous solids by fractal dimension and porosity, Physica A: Statistical Mechanics and its Applications, 274, pp. 419-432, 1999.
• 9. B. MANDELBROT, The fractal geometry of nature: Wh Freeman, 1982.
• 10. B. MANDELBROT, A. BLUMEN, Fractal Geometry: What is it, and What Does it do? [and Discussion], Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 423, pp. 3-16, 1989.
• 11. H. PEITGEN, et al., Bausteine des Chaos: Fraktale: Springer Verl.; Klett-Cotta, 1992.
• 12. H. PEITGEN, P. RICHTER, The beauty of fractals: Springer-Verlag New York, 1986.
• 13. H. PEITGEN, et al., The science of fractal images: Springer New York etc., 1988.
• 14. J. FEDER, P. BAK, Fractals, Physics Today, 42, p. 90, 1989.
• 15. A. ANDERSON, A. MCBRATNEY, Soil aggregates as mass fractals, Australian Journal of Soil Research, 33, pp. 757-772, 1995.
• 16. R BARTOLT, et al., Structure and self-similarity in silty and sandy soils: the fractal approach, European Journal of Soil Science, 42, pp. 167-185, 1991.
• 17. I.M. YOUNG, J. W. CRAWFORD, Fractal structure of soil aggregates: its measurement and interpretation : J Soil Sci V42, N2, June 1991, Pl87-192, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abslracts, 28, pp. A336-A336, 1991.
• 18. M. RIEU, G. SPOSITO, Fractal fragmentation, soil porosity, and soil water properties: I. Theory, Soil Sci. Soc. Am. J, 55, p. l, 1991.
• 19. E. PERRIER, et al., Computer Construction of fractal soil structures: simulation of their hydraulic and shrinkage properties, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 33, pp. 259A-260A, 1996.
• 20. A. KOKKALIS, O. PANAGOULI, Fractal Evaluation of Pavement Skid Resistance Variations. I: Surface Wetting, Chaos, Solitons & Fractals, 9, pp. 1875-1890, 1998.
• 21. C.R.R., Code de Bonne Pratique pour la Formulation des Enrobés Bitumineux Denses. Recommendations CRR - R 61/87, cd. Bruxelles, Belgium: Centre de Recherches Routičres, 1987.
• 22. R. COMINSKY. et al., SHRP-A-407, The Superpave Mix Design Manual for New Construction and Overlays, National Research Council, Washington, DC, 1994.
• 23. J. GOODE, L. LUFSEY, A new graphical chart for evaluating aggregate gradations, pp. 176-207, 1962.
• 24. G. HUBER, T. SHULER, Providing Sufficient Void Space for Asphalt Cement: Relationship of Mineral Aggregate Voids and Aggregate Gradation, Effects of Aggregates and Mineral Fillers on Asphalt Mixture Performance, 1992.