Roads and Bridges - Drogi i Mosty
17, 1, 2018, 5-22

Review of analytical-empirical methods for determining stiffness moduli of asphalt mixtures

Mieczysław Słowik Mail
Poznan University of Technology, Faculty of Civil and Environmental Engineering, Institute of Civil Engineering, 5 Piotrowo Str., 60-965 Poznań
Mikołaj Bartkowiak Mail
Poznan University of Technology, Faculty of Civil and Environmental Engineering, Institute of Civil Engineering, 5 Piotrowo Str., 60-965 Poznań
Published: 2018-03-30

Abstract

The paper outlines and elaborates models for determining stiffness moduli of asphalt mixtures. Some original patterns taken from source articles and alternative forms of formulas after their adaptation to the SI system of units were introduced. Various laboratory methods for determining the stiffness modulus including methods for fixing that quantity of a given model were discussed. All of input data needed for determining the stiffness modulus with the use of selected models and basic information concerning preparations of samples for determining that quantity through laboratory methods were presented. Attention was turned to errors which can be made while making use of analytical-empirical models. The values of stiffness moduli determined with the use of analytical-empirical models were also compared with their equivalents of experimental tests described in the literature.

Keywords


asphalt mixture, dynamic modulus test (DM), four point bending test (4PB-PR), Hirsch’s model, stiffness modulus, Witczak’s model

Full Text:

PDF PDF

References


Iwański M., Mazurek G.: Wpływ wosku syntetycznego na moduł sztywności betonu asfaltowego. Roads and Bridges - Drogi i Mosty, 11, 3, 2012, 233-248

Pożarycki A., Górnaś P., Zalewski P.: Wpływ spękań na zmianę modułów sztywności mieszanek mineralno-asfaltowych oznaczanych w warunkach in situ. Roads and Bridges - Drogi i Mosty, 14, 4, 2015, 257-270

Pożarycki A., Górnaś P.: Funkcja sum harmonicznych

w skróconej procedurze oznaczania zespolonego modułu sztywności MMA. Czasopismo Inżynierii Lądowej, Środowiska i Architektury, z. 63, nr 1/II, 2016, 283-290

Pożarycki A., Fengier J., Górnaś P., Wanatowski D.: Backcalculation of pavements incorporating Grouted Macadam technology. Road Materials and Pavement Design, 2017, 1-17 doi: 10.1080/14680629.2017.1310668

Kim Y.R.: Modeling of asphalt concrete, McGraw-Hill Construction, Washington 2009

Bari J., Witczak M.: Development of a new revised version of the Witczak E* predictive model for hot mix asphalt mixtures. Journal of the Association of Asphalt Paving Technologists, 75, 2006, 381-423

Bonnaure F., Gest G., Garvois A., Uge P.: A new method of predicting the stiffness of asphalt paving mixes. Journal of the Association of Asphalt Paving Technologists, 46, 1977, 64-104

Witczak M.W., Kaloush K., Pellinen T., El-Basyouny M., VonQuintus H.: Simple Performance Test for Superpave Mix Design. NCHRP Report 465, Transportation Research Board, Washington, 2002

Huang Y.H.: Pavement Analysis and Design Pearson Education. Upper Saddle River, NJ, USA, 2004

Witczak M.W., Andrei D., Mirza W.: Development of Revised Predictive Model for the Dynamic (Complex) Modulus of Asphalt Mixtures. Interteam Technical Report, NCHRP Project 1-37A, University of Maryland, 1999

Hirsch T.J.: Modulus of elasticity of concrete as affected by elastic moduli of cement paste matrix and aggregate. Journal of the American Concrete Institute, 59, 1962, 427-451

Christensen D.W., Pellinen T., Bonaquist R.F.: Hirsch Model for Estimating the Modulus of Asphalt Concrete. Journal of the Association of Asphalt Paving Technologists, 72, 2003, 97-121

Van der Poel C.: A general system describing the visco-elastic properties of bitumens and its relation to routine test data. Journal of Applied Chemistry, 4, 5, 1954, 221-236

PN-EN 12697-26:2007 Mieszanki mineralno-asfaltowe - Metody badań mieszanek mineralno-asfaltowych na gorąco - Część 26: Sztywność

Mechanistic-Empirical Pavement Design Guide (MEPDG-1). A manual of practice. American Association of State Highway and Transportation, USA 2008

AASHTO T 342 Determining Dynamic Modulus of Hot Mix Asphalt (HMA), AASHTO Standard Method, Washington, 2011

Słowik M., Bartkowiak M.: Calculation of Measurement Uncertainty for Stiffness Modulus of Asphalt Mixture. Journal of Civil Engineering and Architecture 9, 11, 2015, 1325-1333

PN-EN 12697-33:2008 Mieszanki mineralno-asfaltowe - Metody badań mieszanek mineralno-asfaltowych na gorąco - Część 33: Przygotowanie próbek zagęszczonych urządzeniem wałującym

AASHTO T 312 Preparing and Determining the Density of Asphalt Mixture Specimens by Means of the Superpave Gyratory Compactor. AASHTO Standard Method, Washington, 2014

AASHTO R 30 Mixture Conditioning of Hot Mix Asphalt (HMA). AASHTO Standard Method, Washington, 2010

Dougan Ch.E., Stephens J.E. and others:E* - Dynamic Modulus, Test protocol - Problems and solutions, University of Connecticut, Connecticut, 2003

Kim K.S.: Complex Modulus from indirect tension testing. Master’s thesis, University of Florida, Gainesville 2002

Kim Y.R., Seo Y., King M., Momen M.: Dynamic Modulus Testing of Asphalt Concrete in Indirect Tension Mode. TRB Annual Meeting, Washington, USA, 2004

Momen M.: Complex Modulus Determination of Asphalt Concrete Using Indirect Tension Test, master’s thesis, North Carolina State University, Raleigh, 2004

Martinez F.O., Angelone S.M.: The indirect tensile test configuration in the determination of the complex modulus of asphalt mixtures. 5th Eurasphalt & Eurobitume Congress, Istanbul, June 2012, P5EE-327

PN-EN 12697-8:2005 Mieszanki mineralno-asfaltowe - Metody badań mieszanek mineralno-asfaltowych na gorąco - Część 8: Oznaczanie zawartości wolnej przestrzeni

PN-EN 12697-5:2010 Mieszanki mineralno-asfaltowe - Metody badań mieszanek mineralno-asfaltowych na gorąco - Część 5: Oznaczanie gęstości

Bonaquist R.: Wisconsin Mixture Characterization Using the Asphalt Mixture Performance Tester (AMPT) on Historical Aggregate Structures. Wisconsin Department of Transportation, Sterling, 2010

Kim Y.R. and others: Long-Term Pavement Performance (LTPP) Computed Parameter: Dynamic Modulus. U.S. Department of Transportation, Federal Highway Administration, McLean, 2011

Yang X., You Z.: New predictive equations for dynamic modulus and phase angle using a nonlinear least-squares regression model. Journal of Materials in Civil Engineering, 27, 3, 2015, 04014131-1 - 04014131-8

Giuliana G., Nicolosi V., Festa B.: Predictive Formulas of Complex Modulus for High Air Void Content Mixes. 91st Transportation Research Board (TRB) Annual Meeting, Washington, 2012

Dołżycki B., Judycki J.: Wpływ metod zagęszczania mieszanek mineralno-asfaltowych na wyniki badań ich cech mechanicznych. 52 Konferencja Naukowa Komitetu Inżynierii Lądowej i Wodnej PAN i Komitetu Nauki PZITB, Krynica, 2006, 129-136

Plewa A.: Ocena wpływu wskaźnika zagęszczenia na moduł sztywności betonu asfaltowego. Budownictwo i Inżynieria Środowiska, 3, 3, 2012, 133-139


Review of analytical-empirical methods for determining stiffness moduli of asphalt mixtures

  
Słowik, Mieczysław; Bartkowiak, Mikołaj. Review of analytical-empirical methods for determining stiffness moduli of asphalt mixtures. Roads and Bridges - Drogi i Mosty, [S.l.], v. 17, n. 1, p. 5-22, mar. 2018. ISSN 2449-769X. Available at: <>. Date accessed: 28 May. 2018. doi:http://dx.doi.org/10.7409/rabdim.018.001.