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Comparison of tensile and compressive relaxation modulus of asphalt mixes under various testing conditions

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Abstract

Mode of loading, i.e., tension and compression, is an important factor that affects the relaxation modulus of asphalt mixtures. A laboratory experiment was conducted to compare the relative variations of tensile and compressive relaxation modulus master curves of dense graded asphalt mixes under various testing conditions including mix characteristics, aging condition, and temperature. Crushed stone aggregates having two gradations, and 60/70 penetration asphalt binder with two binder contents were selected to fabricate the asphalt mixture specimens at two air void levels and three aging conditions with three replicates for each experimental combination. Direct tension/compression relaxation modulus tests were carried out on the specimens at four temperatures using the trapezoidal pattern at a low level of input strain. Tensile and compressive relaxation modulus master curves were constructed for all the experimental combinations using the sigmoidal fitting model together with the numerical temperature shifting technique. Sigmoidal model coefficients of α, β, and γ were chosen, as representatives of relaxation modulus master curves, to be compared between tension and compression. Based on the graphical representations as well as the overall mean values calculated for the ratios of tensile–compressive coefficients under various testing conditions, it was concluded that tensile and compressive behavior of asphalt mixes may be generally different to each other. Both the tensile α and γ coefficients may always be higher than those obtained in compression for all the testing conditions. In addition, the β coefficient obtained in tension may be lower than the compressive one only for the shorter aging times as well as the higher reference temperatures; while this coefficient in tension may be higher than the compressive one for the other testing conditions. In addition, analyses of variance showed that the factors of binder content and air void level may have the most significant effects on the ratios of tensile–compressive α and γ coefficients, respectively; while the reference temperature may be the most inflectional factor on the ratio of tensile–compressive β coefficients.

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References

  1. Kim YR (2009) Modeling of asphalt concrete. ASCE Press, McGraw-Hill Construction, New York

  2. Chehab GR, Kim YR, Schapery RA, Witczak MW, Bonaquist R (2002) Time–temperature superposition principle for asphalt concrete mixtures with growing damage in tension state. J Assoc Asph Paving Technol 71:559–593

    Google Scholar 

  3. Kim YR, Guddati MN, Underwood BS, Yun TY, Subramanian V, Heidari AH (2005) Characterization of ALF mixtures using the viscoelastoplastic continuum damage model. Final report. Federal Highway Administration, USA

  4. Gibson NH, Schwartz CW, Schapery RA, Witczak MW (2003) Viscoelastic, viscoplastic, and damage modeling of asphalt concrete in unconfined compression. Transp Res Rec 1860:3–15

    Article  Google Scholar 

  5. Zhao Y (2002) Permanent deformation characterization of asphalt concrete using a viscoelastoplastic model. PhD Dissertation, North Carolina State University

  6. Walubita LF, Martin AE (2010) Characterizing the relaxation modulus properties of HMA mixes based on the uniaxial strain-controlled testing. Road Mater Pavement Des 11(3):529–557

    Article  Google Scholar 

  7. Monosmith CL, Secor KE (1962) Viscoelastic behavior of asphalt concrete pavements. In: Proceedings of international conference on the structural design of asphalt pavements, Ann Arbor, Michigan, pp 476–498

  8. Lytton RL, Uzan J, Fernando EG, Roque R, Hiltunen D, Stoffels SM (1993) Development and validation of performance prediction models and specifications for asphalt binders and paving mixes, Strategic Highway Research Program (SHRP-A-357). National Research Council, Washington, DC

    Google Scholar 

  9. Christensen DW, Bonaquist RF (2004) Evaluation of indirect tensile test (IDT) procedures for low-temperature performance of hot mix asphalt. NCHRP Report 530

  10. Kim YR, Seao Y, King M, Momen M (2004) Dynamic modulus testing of asphalt concrete in indirect tension mode. Transp Res Rec 1891:163–173

    Article  Google Scholar 

  11. Khanal PP, Mamlouk MS (1995) Tensile versus compressive moduli of asphalt concrete. Transp Res Rec 1492:144–150

    Google Scholar 

  12. Von Quintus HL, Rauhut J, Kennedy T (1982) Comparisons of asphalt concrete stiffness as measured by various testing techniques. Proc Assoc Asph Paving Technol 51:35–49

    Google Scholar 

  13. Code-234 (2011) Iran highway asphalt paving code. The Ministry of Road and Urban Development, Research and Education Center, Publication Number 234, Iran

  14. ASTM (2009) Standard test method for density of semi-solid bituminous materials (pycnometer method) D70-09e1. ASTM, West Conshohocken

    Google Scholar 

  15. ASTM (2013) Standard test method for penetration of bituminous materials D5/D5M-13. ASTM, West Conshohocken

    Google Scholar 

  16. ASTM (2012) Standard test method for softening point of bitumen (ring-and-ball apparatus) D36/D36M-12. ASTM, West Conshohocken

    Google Scholar 

  17. ASTM (2007) Standard test method for ductility of bituminous materials D113-07. ASTM, West Conshohocken

    Google Scholar 

  18. ASTM (2009) Standard test method for solubility of asphalt materials in trichloroethylene D2042-09. ASTM, West Conshohocken

    Google Scholar 

  19. ASTM (2012) Standard test method for flash and fire points by Cleveland open cup tester D92-12b. ASTM, West Conshohocken

    Google Scholar 

  20. ASTM (2010) Standard test method for kinematic viscosity of asphalts (bitumens) D2170/D2170M-10. ASTM, West Conshohocken

    Google Scholar 

  21. ASTM (2011) Standard test method for loss on heating of oil and asphaltic compounds D6/D6M-95(2011)e1. ASTM, West Conshohocken

    Google Scholar 

  22. Bell CA, Wieder AJ, Fellin MJ (1994) Laboratory aging of asphalt-aggregate mixtures: field validation, SHRP-A-390, Strategic Highway Research Program. National Research Council, Washington, DC

    Google Scholar 

  23. AASHTO Designation PP2 (1994) Standard practice for short and long term aging of hot mix asphalt, AASHTO Provisional standards. Washington, DC

  24. Baek CM (2010) Investigation of top-down cracking mechanisms using the viscoelastic continuum damage finite element program. PhD Dissertation, North Carolina State University

  25. Rong L, Lytton RL (2010) Characterization of the tensile viscoelastic properties of an undamaged asphalt mixture. J Transp Eng 136(3):173–180

    Article  Google Scholar 

  26. Walubita LF (2006) Comparison of fatigue analysis approaches for predicting fatigue lives of hot mix asphalt concrete (HMAC) mixtures. PhD Dissertation, Texas A&M University

  27. Airey GD, Brown SF (1998) Rheological performance of aged polymer modified bitumens. J Assoc Asph Paving Technol 67:66–100

    Google Scholar 

  28. Medani TO, Huurman M (2003) Constructing the stiffness master curves for asphaltic mixes, Report No. 7-01-127-3. Delft University and Technology, Delft

    Google Scholar 

  29. Bonaquist R, Christensen DW (2005) Practical procedure for developing dynamic modulus master curves for pavement structural design. Transp Res Rec 1929:208–217

    Article  Google Scholar 

  30. Forough SA, Moghadas Nejad F, Khodaii A (2014) A comparative study of temperature shifting techniques for construction of relaxation modulus master curve of asphalt mixes. Constr Build Mater Elsevier 53:74–82

    Article  Google Scholar 

  31. Pellinen TK, Witczak MW, Bonaquist RF (2002) Asphalt mix master curve construction using Sigmoidal fitting function with non-linear least squares optimization. In: Proceedings of pavement mechanics, symposium at the 15th ASCE engineering mechanics conference (EM2002). Columbia University, New York

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Correspondence to Seyed Arash Forough.

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Forough, S.A., Moghadas Nejad, F. & Khodaii, A. Comparison of tensile and compressive relaxation modulus of asphalt mixes under various testing conditions. Mater Struct 49, 207–223 (2016). https://doi.org/10.1617/s11527-014-0489-y

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  • DOI: https://doi.org/10.1617/s11527-014-0489-y

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