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Evaluation of Dynamic Modulus of HMA Sigmoidal Prediction Models and Optimization by Approach of U.S. Mesh Sieve by AFNOR and LC Mesh Sieve

Evaluation of Dynamic Modulus of HMA Sigmoidal Prediction Models and Optimization by Approach of U.S. Mesh Sieve by AFNOR and LC Mesh Sieve
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摘要 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 modulus of HMA are not adapted to the characterization of the mineral skeleton of the HMA mix designed with the French method.<span style="font-family:""> </span><span style="font-family:""><span style="font-family:Verdana;">This article aims to assess the predictive models of the dynamic modulus used in the mechanistic-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 determination of complex modulus testing by direct tensile-compression on cylindrical specimens (26-700 LC) over a temperature range (5) and frequency (5) data. Dynamic modulus prediction models |</span><i><span style="font-family:Verdana;">E</span></i><span style="font-family:Verdana;">*| 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 </span><i><span style="font-family:Verdana;">ρ</span></i><sub><span style="font-family:Verdana;">200</span></sub><span style="font-family:Verdana;"> (0.075 mm), </span><i><span style="font-family:Verdana;">ρ</span></i><sub><span style="font-family:Verdana;">4</span></sub><span style="font-family:Verdana;"> (4.76 mm), </span><i><span style="font-family:Verdana;">ρ</span></i><sub><span style="font-family:Verdana;">38</span></sub><span style="font-family:Verdana;"> (9.5 mm) and </span><i><span style="font-family:Verdana;">ρ</span></i><sub><span style="font-family:Verdana;">34</span></sub><span style="font-family:Verdana;"> (19 mm) respectively by the AFNOR mesh </span><i><span style="font-family:Verdana;">P</span></i><sub><span style="font-family:Verdana;">0.08</span></sub><span style="font-family:Verdana;"> (0.08 mm), </span><i><span style="font-family:Verdana;">R</span></i><sub><span style="font-family:Verdana;">5</span></sub><span style="font-family:Verdana;"> (5 mm), </span><i><span style="font-family:Verdana;">R</span></i><sub><span style="font-family:Verdana;">10</span></sub><span style="font-family:Verdana;"> (10 mm) and </span><i><span style="font-family:Verdana;">R</span></i><sub><span style="font-family:Verdana;">14</span></sub><span style="font-family:Verdana;"> (14 mm). The result is the production of two models whose are evaluated by correlation with the values |</span><i><span style="font-family:Verdana;">E</span></i><span style="font-family:Verdana;">*|</span></span><span style="font-family:""> </span><span style="font-family:""><span style="font-family:Verdana;">of modulus measured in the laboratory is satisfactory (</span><i><span style="font-family:Verdana;">R</span></i><sup><span style="font-family:Verdana;">2</span></sup><span style="font-family:Verdana;"> = 0.83 respectively </span><i><span style="font-family:Verdana;">R</span></i><sup><span style="font-family:Verdana;">2</span></sup><span style="font-family:Verdana;"> = 0.71 and </span><i><span style="font-family:Verdana;">p</span></i><span style="font-family:Verdana;">-value = 0.00). The optimization 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 laboratory (respectively </span><i><span style="font-family:Verdana;">R</span></i><sup><span style="font-family:Verdana;">2</span></sup><span style="font-family:Verdana;"> = 0. 95 and </span><i><span style="font-family:Verdana;">R</span></i><sup><span style="font-family:Verdana;">2</span></sup><span style="font-family:Verdana;"> = 0.91 </span><i><span style="font-family:Verdana;">p</span></i><span style="font-family:Verdana;">-value = 0.00).</span></span> 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 modulus of HMA are not adapted to the characterization of the mineral skeleton of the HMA mix designed with the French method.<span style="font-family:""> </span><span style="font-family:""><span style="font-family:Verdana;">This article aims to assess the predictive models of the dynamic modulus used in the mechanistic-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 determination of complex modulus testing by direct tensile-compression on cylindrical specimens (26-700 LC) over a temperature range (5) and frequency (5) data. Dynamic modulus prediction models |</span><i><span style="font-family:Verdana;">E</span></i><span style="font-family:Verdana;">*| 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 </span><i><span style="font-family:Verdana;">ρ</span></i><sub><span style="font-family:Verdana;">200</span></sub><span style="font-family:Verdana;"> (0.075 mm), </span><i><span style="font-family:Verdana;">ρ</span></i><sub><span style="font-family:Verdana;">4</span></sub><span style="font-family:Verdana;"> (4.76 mm), </span><i><span style="font-family:Verdana;">ρ</span></i><sub><span style="font-family:Verdana;">38</span></sub><span style="font-family:Verdana;"> (9.5 mm) and </span><i><span style="font-family:Verdana;">ρ</span></i><sub><span style="font-family:Verdana;">34</span></sub><span style="font-family:Verdana;"> (19 mm) respectively by the AFNOR mesh </span><i><span style="font-family:Verdana;">P</span></i><sub><span style="font-family:Verdana;">0.08</span></sub><span style="font-family:Verdana;"> (0.08 mm), </span><i><span style="font-family:Verdana;">R</span></i><sub><span style="font-family:Verdana;">5</span></sub><span style="font-family:Verdana;"> (5 mm), </span><i><span style="font-family:Verdana;">R</span></i><sub><span style="font-family:Verdana;">10</span></sub><span style="font-family:Verdana;"> (10 mm) and </span><i><span style="font-family:Verdana;">R</span></i><sub><span style="font-family:Verdana;">14</span></sub><span style="font-family:Verdana;"> (14 mm). The result is the production of two models whose are evaluated by correlation with the values |</span><i><span style="font-family:Verdana;">E</span></i><span style="font-family:Verdana;">*|</span></span><span style="font-family:""> </span><span style="font-family:""><span style="font-family:Verdana;">of modulus measured in the laboratory is satisfactory (</span><i><span style="font-family:Verdana;">R</span></i><sup><span style="font-family:Verdana;">2</span></sup><span style="font-family:Verdana;"> = 0.83 respectively </span><i><span style="font-family:Verdana;">R</span></i><sup><span style="font-family:Verdana;">2</span></sup><span style="font-family:Verdana;"> = 0.71 and </span><i><span style="font-family:Verdana;">p</span></i><span style="font-family:Verdana;">-value = 0.00). The optimization 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 laboratory (respectively </span><i><span style="font-family:Verdana;">R</span></i><sup><span style="font-family:Verdana;">2</span></sup><span style="font-family:Verdana;"> = 0. 95 and </span><i><span style="font-family:Verdana;">R</span></i><sup><span style="font-family:Verdana;">2</span></sup><span style="font-family:Verdana;"> = 0.91 </span><i><span style="font-family:Verdana;">p</span></i><span style="font-family:Verdana;">-value = 0.00).</span></span>
作者 Mouhamed Lamine Chérif Aidara Makhaly Ba Alan Carter Mouhamed Lamine Chérif Aidara;Makhaly Ba;Alan Carter(UFR Sciences de l’Ingénieur, Université de Thiès, Thiès, Sénégal;Ecole de Technologie Supérieure (ETS), Director of Pavement BituminousMaterials Laboratory (LCMB), Montréal, Canada)
出处 《Open Journal of Civil Engineering》 2020年第3期195-212,共18页 土木工程期刊(英文)
关键词 Dynamic Modulus Mechanistic-Empirical Design US SIEVE MESH HMA AFNOR LC Dynamic Modulus Mechanistic-Empirical Design US Sieve Mesh HMA AFNOR LC
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