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Bridging the gap between laboratory and field moduli of asphalt layer for pavement design and assessment: A comprehensive loading frequency-based approach

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Abstract

Asphalt pavement is a key component of highway infrastructures in China and worldwide. In asphalt pavement design and condition assessment, the modulus of the asphalt mixture layer is a crucial parameter. However, this parameter varies between the laboratory and field loading modes (i.e., loading frequency, compressive or tensile loading pattern), due to the viscoelastic property and composite structure of the asphalt mixture. The present study proposes a comprehensive frequency-based approach to correlate the asphalt layer moduli obtained under two field and three laboratory loading modes. The field modes are vehicular and falling weight deflectometer (FWD) loading modes, and the laboratory ones are uniaxial compressive (UC), indirect tensile (IDT), and four-point bending (4PB) loading modes. The loading frequency is used as an intermediary parameter for correlating the asphalt layer moduli under different loading modes. The observations made at two field large-scale experimental pavements facilitate the correlation analysis. It is found that the moduli obtained via laboratory 4PB tests are pretty close to those of vehicular loading schemes, in contrast to those derived in UC, IDT, and FWD modes, which need to be adjusted. The corresponding adjustment factors are experimentally assessed. The applications of those adjustment factors are expected to ensure that the moduli measured under different loading modes are appropriately used in asphalt mixture pavement design and assessment.

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References

  1. Al-Qadi I L, Elseifi M A, Yoo P J, Dessouky S H, Gibson N, Harman T, D’Angelo J, Petros K. Accuracy of current complex modulus selection procedure from vehicular load pulse: NCHRP Project 1–37A mechanistic-empirical pavement design guide. Transportation Research Record: Journal of the Transportation Research Board, 2008, 2087(1): 81–90

    Article  Google Scholar 

  2. Huang Y. Pavement Analysis and Design. Upper Saddle River, NJ: Prentice-hall, 1993

    Google Scholar 

  3. NCHRP. Guide for Mechanistic-empirical Design of New and Rehabilitated Pavement Structures, Final Report for Project 1–37A. Washington, D.C.: Transportation Research Board, 2004

    Google Scholar 

  4. Sun L. Structural Behavior of Asphalt Pavements. Kidlington: Butterworth-Heinemann, 2016

    Google Scholar 

  5. Cheng H, Liu J, Sun L, Liu L. Critical position of fatigue damage within asphalt pavement considering temperature and strain distribution. International Journal of Pavement Engineering, 2021, 22(14): 1773–1784

    Article  Google Scholar 

  6. Kim Y R. Modeling of Asphalt Concrete. Reston, VA: ASCE Press, 2008

    Google Scholar 

  7. Saal R N J, Pell P S. Fatigue of bituminous road mixes. Colloid & Polymer Science, 1960, 171(1): 61–71

    Google Scholar 

  8. Kim M, Buttlar W G. Stiffening mechanisms of asphalt-aggregate mixtures: From binder to mixture. Transportation Research Record: Journal of the Transportation Research Board, 2010, 2181(1): 98–108

    Article  Google Scholar 

  9. Masad E, Olcott D, White T, Tashman L. Correlation of fine aggregate imaging shape indices with asphalt mixture performance. Transportation Research Record: Journal of the Transportation Research Board, 2001, 1757(1): 148–156

    Article  Google Scholar 

  10. Christensen D W, Bonaquist R F. Evaluation of Indirect Tensile Test (IDT) Procedures for Low-temperature Performance of Hot Mix Asphalt. Washington, D.C.: Transportation Research Board, 2004

    Google Scholar 

  11. Kallas B. Dynamic modulus of asphalt concrete in tension and tension-compression and discussion. Electronic Journal of the Association of Asphalt Paving Technologists, 1970, 39: 1–23

    Google Scholar 

  12. Khanal P P, Mamlouk M. Tensile versus compressive moduli of asphalt concrete. Transportation Research Record: Journal of the Transportation Research Board, 1995(1492): 144–150

    Google Scholar 

  13. Li Q, Li G, Wang H. Effect of loading modes on dynamic moduli of asphalt mixtures. Journal of Building Materials, 2014, 17(5): 816–822

    Google Scholar 

  14. Lytton R L, Uzan J, Fernando E G, Roque R, Hiltunen D, Stoffels S M. Development and Validation of Performance Prediction Models and Specifications for Asphalt Binders and Paving Mixes (SHRP A-357). Washington, D.C.: National Research Council, 1993

    Google Scholar 

  15. Secor K E, Monismith C L. Viscoelastic response of asphalt paving slabs under creep loading. Highway Research Record, 1965, 67: 84–97

    Google Scholar 

  16. Cheng H, Wang Y, Liu L, Sun L, Zhang Y, Yang R. Estimating tensile and compressive moduli of asphalt mixture from indirect tensile and four-point bending tests. Journal of Materials in Civil Engineering, 2021, 33(1): 04020402

    Article  Google Scholar 

  17. Cheng H, Liu L, Sun L. Determination of layer modulus master curve for steel deck pavement using field-measured strain data. Transportation Research Record: Journal of the Transportation Research Board, 2019, 2673(2): 617–627

    Article  Google Scholar 

  18. Cheng H, Sun L, Yang R, Zhang Y, Liu L. Relating field moduli of asphalt mixture layer under vehicular loading and its dynamic moduli under laboratory loading. Transportation Research Record: Journal of the Transportation Research Board, 2021

  19. Howard I, Warren K. Investigation of thin flexible pavement response between traffic and the falling weight deflectometer (FWD). International Journal of Geotechnical Engineering, 2008, 2(4): 329–341

    Article  Google Scholar 

  20. Mateos A, Snyder M B. Validation of flexible pavement structural response models with data from the minnesota road research project. Transportation Research Record: Journal of the Transportation Research Board, 2002, 1806(1): 19–29

    Article  Google Scholar 

  21. Kim Y R, Seo Y, King M, Momen M. Dynamic modulus testing of asphalt concrete in indirect tension mode. Transportation Research Record, 2004, 1891(1): 163–173

    Article  Google Scholar 

  22. Roque R, Buttlar W G. Development of a measurement and analysis system to accurately determine asphalt concrete properties using the indirect tensile mode. Electronic Journal of the Association of Asphalt Paving Technologists, 1992, 61: 304–332

    Google Scholar 

  23. Rohde G, Scullion T. MODULUS 4.0: expansion and validation of the MODULUS backcalculation system. Journal of Materials Chemistry, 1990, 10(10): 1829–1833

    Google Scholar 

  24. Van Cauwelaert F J, Alexander D R, White T D, Barker W R. Multilayer elastic program for backcalculating layer moduli in pavement evaluation. In: International Symposium on Nondestructive Testing of Pavements & Backcalculation of Moduli. Baltimore (MD): ASTM International, 1989

    Google Scholar 

  25. Baladi G, Harichandran R S, Mukhtar H, Mahmood T. Reduction of Rutting and Fatigue Cracking under Heavy Vehicle Loads and Backcalculation of Layer Moduli. Final Report. Volume 1: Literature Review, 1994

  26. Meier R W. Backcalculation of flexible pavement moduli from falling weight deflectometer data using artificial neural networks. Dissertation for the Doctoral Degree. Atlanta, GA: Georgia Institute of Technology, 1995

    Google Scholar 

  27. Tarefder R, Ahmed M. Consistency and accuracy of selected FWD backcalculation software for computing layer modulus of airport pavements. International Journal of Geotechnical Engineering, 2013, 7(1): 21–35

    Article  Google Scholar 

  28. Varma S, Kutay M E, Levenberg E. Viscoelastic genetic algorithm for inverse analysis of asphalt layer properties from falling weight deflections. Transportation Research Record: Journal of the Transportation Research Board, 2013, 2369(1): 38–46

    Article  Google Scholar 

  29. Cheng H, Wang Y, Liu L, Sun L. Relationships between asphalt-layer moduli under vehicular loading and FWD loading. Journal of Materials in Civil Engineering, 2021, 33(1): 04020437

    Article  Google Scholar 

  30. Garcia G, Thompson M R. Strain and pulse duration considerations for extended-life hot-mix asphalt pavement design. Transportation Research Record: Journal of the Transportation Research Board, 2008, 2087(1): 3–11

    Article  Google Scholar 

  31. Hornyak N, Crovetti J A. Analysis of load pulse durations for Marquette interchange instrumentation project. Transportation Research Record: Journal of the Transportation Research Board, 2009, 2094(1): 53–61

    Article  Google Scholar 

  32. Loulizi A, Al-qadi I L, Lahouar S, Freeman T E. Measurement of vertical compressive stress pulse in flexible pavements: representation for dynamic loading tests. Transportation Research Record: Journal of the Transportation Research Board, 2002, 1816(1): 125–136

    Article  Google Scholar 

  33. Ulloa A, Hajj E Y, Siddharthan R V, Sebaaly P E. Equivalent loading frequencies for dynamic analysis of asphalt pavements. Journal of Materials in Civil Engineering, 2013, 25(9): 1162–1170

    Article  Google Scholar 

  34. Cheng H, Liu L, Sun L, Li Y, Hu Y. Comparative analysis of strain-pulse-based loading frequencies for three types of asphalt pavements via field tests with moving truck axle loading. Construction & Building Materials, 2020, 247: 118519

    Article  Google Scholar 

  35. Wang H, Li M. Comparative study of asphalt pavement responses under FWD and moving vehicular loading. Journal of Transportation Engineering, 2016, 142(12): 04016069

    Article  Google Scholar 

  36. Zang G. Back-calculation method for structural parameters of asphalt pavement based on identity points. Dissertation for the Doctoral Degree. Shanghai: Tongji University, 2018

    Google Scholar 

  37. Zhang X, Sun L. Novel method for backcalculation of asphalt pavement moduli. Transportation Research Record: Journal of the Transportation Research Board, 2004, 1869(1): 67–72

    Article  Google Scholar 

  38. Zhu J. Method of high-precision modulus backcalculation for multi-layer structure of asphalt pavement. Dissertation for the Doctoral Degree. Shanghai: Tongji University, 2013 (in Chinese)

    Google Scholar 

  39. Al-Qadi I L, Xie W, Elseifi M A. Frequency determination from vehicular loading time pulse to predict appropriate complex modulus in MEPDG. Electronic Journal of the Association of Asphalt Paving Technologists, 2008, 77: 739–771

    Google Scholar 

  40. Dongre R, Myers L, D’Angelo J. conversion of testing frequency to loading time: Impact on performance predictions obtained from the ME pavement design guide. In: Transportation Research Board 85th Annual Meeting. Washington, D.C.: Transportation Research Board, 2006

    Google Scholar 

  41. Williams M, Landel R, Ferry J. Mechanical properties of substances of high molecular weight in amorphous polymers and other glass-forming liquids. Journal of the American Chemical Society, 1995, 77(19): 3701–3707

    Google Scholar 

Download references

Acknowledgments

The study was supported by the National Key R&D Program of China (No. 2018YFB1600100), the National Natural Science Foundation of China (Grant No. 5210081231), and the Postdoctoral Science Foundation of China (Nos. BX2021216 and 2021M702479). The sponsorships are gratefully acknowledged.

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Correspondence to Lijun Sun.

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Cheng, H., Liu, L. & Sun, L. Bridging the gap between laboratory and field moduli of asphalt layer for pavement design and assessment: A comprehensive loading frequency-based approach. Front. Struct. Civ. Eng. 16, 267–280 (2022). https://doi.org/10.1007/s11709-022-0811-7

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  • DOI: https://doi.org/10.1007/s11709-022-0811-7

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