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Scientific papers

Formulation of a general gradation curve and its transformation to equivalent sigmoid form to represent grain size distribution

Pages 199-207 | Received 18 Sep 2014, Accepted 19 Nov 2015, Published online: 29 Dec 2015

References

  • Ahmed, A. M. H., & Drzymala, J. (2005). Two-dimensional fractal linearization of distribution curves. Physicochemical Problems of Mineral Processing, 39, 129–139.
  • Andreasen, A. H. M. & Andersen, J. (1930). Uber die Bieziehung zwischen Kornabstufung und Zwischenraum in Produkten aus losen Kornern (mit einigen Experimenten). Colloid & Polymer Science, 50(3), 217–228.
  • Andersen, P. J., & Johannsen, V. (1991). Materials science of concrete II. In J. Skalny & S. Mindness (Eds.), Particles packing and concrete properties, material science of concrete: II (pp. 111–147). Westervill, OH: The American Ceramic Society.
  • Barber, E. E. (1959). Sub-surface drainage and highways. HRB Bulletin 209.
  • Bolomey, J. (1935). Granulation et prévision de la résistance probable des bétons [GSD and prediction of concrete probable capacity]. Travaux: 19(30), 228–232.
  • Broadbent, S. R., & Callcott, T. G. (1956). A matrix analysis of process involving particles assemblies. Philosophical Transaction of the Royal Society, 249, S-00-123.
  • Cambio, D. & Ge, L. (2007). Effects of parallel gradation on strength properties for ballast materials. Denver, CO: ASCE, Geo Denver 2007 Advances in Modeling of Soil Behavior.
  • Cedergren, H. R. (1974). Drainage of highways and airfield pavements. Ann Arbor, MI: Michigan State University.
  • Cooper, A. W. & Nichols, M. L. (1959). Some observations on soils compaction tests. Agricultural Engineering 40, 264–267.
  • Fredlund, M. D., Fredlund, D. G. & Wilson, G. W. (2000). An equation to represent grain-size distribution. Can Geotechnical Jersey, 37: 817–827. doi:10.1139/t00-015
  • Fuller, W. B., & Thompson, E. (1907). The laws of proportioning. ASTM Transactions LIX, 33, 67–118.
  • Funk, J. & Dinger, D. (1994). Predictive process control of crowded particulate suspension, applied to ceramic manufacturing. Boston, MA: Kluwer Academic Publishers.
  • Haverkamp, R., Nimmo, J. R., & Reggiani, P. (2002). Property-transfer models. In J. H. Dane, and G. C. Topp (Ed.) Methods of soil analysis, 4, Physical methods (pp. 766–771), Madison, WI: Soil Science Society of America.
  • Lowe, J. (1964). Shear strength of coarse embankment dam materials. Proceedings of 8th International Congress on Large Dams, 3, 745–761.
  • Mangulkar, M. N., & Jamkar, S. (2013). Review of particle packing theories used for concrete mix proportioning. International Journal of Scientific Research, 4(5), 143–148.
  • Martineau, B. (1990). Granulométrie vs capacité portante. Laboratoire Central, Ministère des transports du Québec.
  • Martineau, B. (2010). Distribution granulométrique générale réécrite dans une forme sigmoide. bibliothèque personnelle.
  • Raymond, G. P. & Bathurst, R. J. (1987). Performance of large-scale model single tie-ballast systems, transportation research record 1131.
  • Shakhmenko, G. (2004). Investigation on concrete mix design and optimization for plastic concrete (Doctoral thesis). Riga: RTU.
  • Sulaiman, M., Tsutsumi, D., Fujita, M., & Hayashi, K. (2008). Study on porosity of sediment mixtures and a bed-porosity variation model. Kyoto University, Hodaka Sedimentation Observatory, Disaster Prevention Research Institute.
  • Talbot, A. N., & Richart F. E. (1923). The strength of concrete, its relation to the cement aggregate and water. University of Illinois, Engineering experiment station. Bulletin 136.
  • Tutumluer E., Mishra, D., & Butt, A. A. September 15 2009, Characterisation of Illinois aggregates for subgrade replacement and subbase (Final Report, A deliverable of ICT R27–1 Project).
  • Tutumluer E., & Seyhan U. 2000. Effect of fines content on the anisotropic response and characterisation of unbound aggregate base, Unbound Aggregate in Road Construction, Dawson (ed.) 2000 © Balkama, Rotterdam, ISBN 90 5809 147 3.
  • Weibull, W. (1939). A statistical theory of the strenth of materials (Royal Sweedish Institute of Engineering Research, No. 151). Stockholm, Suede.

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