Open Journal of Civil Engineering, 2020, 10, 195-212
https://www.scirp.org/journal/ojce
ISSN Online: 2164-3172
ISSN Print: 2164-3164
DOI: 10.4236/ojce.2020.103017 Jul. 24, 2020 195 Open Journal of Civil Engineering
Evaluation of Dynamic Modulus of HMA
Sigmoidal Prediction Models and Optimization
by Approach of U.S. Mesh Sieve by AFNOR and
LC Mesh Sieve
Mouhamed Lamine Chérif Aidara
1
, Makhaly Ba
1
, Alan Carter
2
1
UFR Sciences de l’Ingénieur, Université de Thiès, Thiès, Sénégal
2
Ecole de Technologie Supérieure (ETS), Director of Pavement BituminousMaterials Laboratory (LCMB), Montréal, Canada
Abstract
Pavement design tools are not universal. Indeed, in the sizing of pavements in
the USA, the prediction models used in the calculation of the dynamic mod-
ulus of HMA are not adapted to the characterization of the mineral skeleton
of the HMA mix designed with the French method. This article aims to assess
the predictive models of the dynamic modulus used in the mechanis-
tic-empirical design for their use in the design of bituminous pavements, and
to develop new predictive models taking into account the sieve series LC and
AFNOR standards. A total of six types of mixtures were subjected to the de-
termination of complex modulus testing by direct tensile-compression on cy-
lindrical specimens (26-700 LC) over a temperature range (5) and frequency
(5) data. Dynamic modulus prediction models |E*| are studied Witczak model
1999 and model Witczak 2006. These models do not take into account the
AFNOR or LC mesh sieve, an approach was made in relation to the US mesh
sieve to replace ρ
200
(0.075 mm), ρ
4
(4.76 mm), ρ
38
(9.5 mm) and ρ
34
(19 mm)
respectively by the AFNOR mesh P
0.08
(0.08 mm), R
5
(5 mm), R
10
(10 mm) and
R
14
(14 mm). The result is the production of two models whose are evaluated
by correlation with the values |E*| of modulus measured in the laboratory is
satisfactory (R
2
= 0.83 respectively R
2
= 0.71 and p-value = 0.00). The optimi-
zation of these approximate models gave new models with the same frame as
the original models and a better correlation with the data observed in the la-
boratory (respectively R
2
= 0. 95 and R
2
= 0.91 p-value = 0.00).
Keywords
Dynamic Modulus, Mechanistic-Empirical Design, US, Sieve, Mesh, HMA,
AFNOR, LC
How to cite this paper: Aidara, M.L.C., Ba,
M. and Carter, A. (2020) Evaluation of
Dynamic Modulus of HMA Sigmoidal
Prediction Models and Optimization by
Approach of U.S. Mesh Sieve by AFNOR
and LC Mesh Sieve. Open Journal of Civil
Engineering, 10, 195-212.
https://doi.org/10.4236/ojce.2020.103017
Received: July 3, 2020
Accepted: July 21, 2020
Published: July 24, 2020
Copyright © 2020 by author(s) and
Scientific Research Publishing Inc.
This work is licensed under the Creative
Commons Attribution International
License (CC BY 4.0).
http://creativecommons.org/licenses/by/4.0/
Open Access