The most famous model known in prediction of dynamic modulus for asphalt concretes is the Witczak and Hirsh models.
These models didn’t use the mineralogical and chemical properties of aggregates.
Witczak models used the passing or refusal percentage to sieve diameters and Hirsh
model used the volumetric
analysis. All models developed until now considered that the aggregates were geotechnical
conforming to standards. In this study the first mineralogical and chemical properties
were considered through the percentage of silica in the rock source of aggregates
and the electric aggregate particles charge zeta. Dynamic modulus values used for
regression process are determined from complex modulus test on nine asphalt concretes
mix designed with aggregate types (basalt of Diack, quartzite of Bakel and Limestone
of Bandia). Between Twelve initial inputs, the statistical regression by exclusion process keeps only seven parameters
as input for the model. The mineralogical model showed good accuracy with R2 equal to 0.09. The student test on the model parameters showed that all the parameters
included in the model were meaningful with good p inferior to 0.05. The Fisher test
on the model showed the same result. The analysis of the sensitivity of the mineralogical
model to zeta potential showed that the dynamic modulus increaseswith the positive zeta-potentials and decreases with the negative zeta-potentials. The analysis
of the sensitivity of the mineralogical model to the silica showed that the dynamic
modulus decreases with the increase of the silica.
References
[1]
Andrei, D., Mirza, W. and Witczak, M.W. (1999) Development of a Revised Predictive Model for the Dynamic (Complex) Modulus of Asphalt Mixtures. NCHRP Report 1-37A.
[2]
Bari, J. and Witczak, M.W. (2006) Development of a New Revised Version of the Witczak E* Predictive Model for Hot Mix Asphalt Mixtures. Journal Association of Asphalt Paving Technologists, 75, 381-424.
[3]
Christensen, D.W. (2003) Hirsch Model for Estimating the Modulus of Asphalt Concrete. Journal Association of Asphalt Paving Technologists, 72, 97-121.
[4]
Salençon, J. (2009) Viscoelasticity for Calculating the Structure. Paliseau: Journal of Pavements and Bridges. Polytechnical School Edition.
[5]
Salençon, J. (1982) Viscoelasticity: During Calculation of Inelastic Structures. Paris: Journal of National School of Pavements and Bridges. Polytechnical School Edition, 88 p.
[6]
Di Benedetto, H.V. and Corté, F. (2005) Matériaux (Vol. 2). H. Science, Edition. Lavoisier, Lyon.
[7]
Olard, F. (2004) Thermomechanical Behavior of Asphalt Mixtures at Low Temperature (Unpublished Doctoral Dissertation). National School of Public Works of the State, University of Claude Bernard Lyon1, State of France.
[8]
Aidara, M.L.C., Ba, M. and Carter, A. (2015) Choice of an Advanced Model for Asphalt Concrete Rheological from Senegal (West Africa). Open Journal of Civil Engineering, 5, 289-298. https://doi.org/10.4236/ojce.2015.53029
[9]
Aidara, M.L.C., Ba, M. and Carter, A. (2015) Measurement of Dynamic Modulus Master Curve and Modeling of Hot Mix Asphalt from Senegal (West Africa). Studies in Engineering and Technology, 2, 124-135.
https://doi.org/10.11114/set.v2i1.936
[10]
Dia, A. (1982) Contribution to the Study of Petrographic, Petrochemical and Geotechnical Characteristics of the Basaltic Aggregates of the Cape Verde Peninsula and Plateau Thies (Career Diack Senegal). 3rd Cycle Doctoral Thesis, Fac. Sciences, UCAD, 181 p.
[11]
Dabo, M. (2007) Structural. Characterization Petrographic and the Chain of the Southern Mauritanides (Bakel Region, Eastern Senegal). Third Cycle PhD Thesis, University of Cheikh Anta Diop, Dakar, 190.
[12]
Ba, M. (2012) Mechanical Behavior under Cyclic Solicitations Aggregates Backel of quartzite. Comparison of Senegal and Reference Materials “America (USA): Application to Flexible Pavements Dimensioning of Mechanistic”. Thesis Cheikh Anta Diop University of Dakar, Dakar, 239.
[13]
Dione, A. (2014) Estimation du Module réversible de Graves Non Traitées et modélisation par éléments finis de chaussées souples en vue d’un dimensionnement mécanistique-empirique. Thèse de Doctorat Université de Thiès, Thies, 183.
[14]
Advanced Asphalt Technologies, LLC. (2011) A Manual for Design of Hot Mix Asphalt with Commentary (NCHRP Report 673). TRB, National Research Council, Washington DC, 285.