A new viscoelastic method of calculation of low-temperature thermal stresses in asphalt layers of pavements

References

• AASHTO, 2004. Guide for mechanistic – empirical design of new and rehabilitated pavement structures MEPDG. Final Report, Part 3, Design Analysis, p. 3.3.93. Part 2, Design Inputs, 2.2.32.
   Google Scholar
• AASHTO PP 42-02, 2005. Standard practice for determination of low – temperature performance grade (PG) of asphalt binders. AASHTO Provisional Standards.
   Google Scholar
• Apeagyei, A.K., Dave, E.V., and Buttler, W.G., 2008. Effect of cooling rate of thermal cracking of asphalt concrete pavements. Journal of the Association of Asphalt Paving Technologists, 77, 709–738.
   Google Scholar
• Arabzadeh, A. and Güller, M., 2014. Influence of mixture design variables on thermal coefficient of asphalt concrete. Proceedings of Conference on Advances in Civil Engineering. Instanbul, 1–6.
   Google Scholar
• ASTM D6816-11, 2011. Standard practice for determining low-temperature performance grade of asphalt binders. doi:10.1520/D6816-11
   Google Scholar
• Burgers, B.A., Kopvillem, O., and Young, F.D., 1971. Ste. Anne test – relationships between predicted fracture temperatures and low temperature field performance. Journal of The Association of Asphalt Paving Technologists, 40, 148–193.
   Google Scholar
• Buttler, W.G., Rogue, R., and Hiltunen, D.R., 2009. Prediction of thermal cracking with TC model, Modeling of asphalt concrete, Chapter 14, New York: ASCE, 405–427.
   Google Scholar
• Chiasson, A., Yavuzturk, C., and Ksabaiti, K., 2008. Linearized approach for predicting thermal stresses in asphalt pavements due to environmental conditions. Journal of Materials in Civil Engineering, 20 (2), 118–127.10.1061/(ASCE)0899-1561(2008)20:2(118)
   Web of Science ®Google Scholar
• Christensen, D.W. and Banaquist, R.F., 2004. Evaluation of indirect tensile test (IDT) procedures for low-temperature performance of hot mix asphalt. NCHRP Report 530. Washington, DC: Transportation Research Board.10.17226/13775
   Google Scholar
• Christianson, J.T., Murray, D.W., and Anderson, K.O., 1972. Stress prediction and low temperature fracture susceptibility of asphalt concrete pavements. Journal of the Association of Asphalt Paving Technologists, 41, 494–523.
   Google Scholar
• Dave, E.V., et al., 2013. IllTC – low – temperature cracking model for asphalt pavements, 14 (sup2), 57–78. doi:10.1080/14680629.2013.812838.
   Google Scholar
• Farrar, M.J., et al., 2013. A method to estimate the thermal stress build-up in an asphalt mixture from a single-cooling event. Road Materials and Pavement Design, 14 (sup1), 201–211. doi:10.1080/14680629.2013.774756.
   Web of Science ®Google Scholar
• Geng, L., et al., 2011. Thermal stresses of flexible pavement with consideration of temperature-dependent material characteristics using stiffness matrix method. Mechanics of Time-Dependent Materials, 15, 73–87. doi:10.1007/s11043-010-9125-6.
   Web of Science ®Google Scholar
• Gerritsen, A.H., et al., 1987. Prediction and Prevention of Surface Cracking in Asphaltic Pavements. Proceedings of Sixth International Conference on Structural Design of Asphalt Pavements. vol I. Ann Arbor, MI: University of Michigan, 378–391.
   Google Scholar
• Haas, R.C.G., 1973. A Method for designing asphalt pavements to minimize low – temperature shrinkage cracking. Asphalt Institute Research Report 73-1, College Park, MD: The Asphalt Institute.
   Google Scholar
• Hajj, E.Y., et al., 2013. Influence of hydrogreen bioasphalt on viscoelastic properties of reclaimed asphalt mixtures. Transportation Research Record: Journal of the Transportation Research Board, 2371 (1), 13–22. doi:10.3141/2371-02.
   Web of Science ®Google Scholar
• Hills, J.F. and Brien, D., 1966. The fracture of bitumens and asphalt mixes by temperature induced stresses. Symposium on Pavement Cracking, Journal of the Association of Asphalt Paving Technologists, 35, 294–309.
   Google Scholar
• Hopman, P.C., 1996. VEROAD: A viscoelastic multilayer computer program. Transportation Research Record: Journal of the Transportation Research Board, 1539, 72–80.10.3141/1539-10
   Google Scholar
• Humpreys, J.S. and Martin, C.J., 1963. Determination of transient thermal stresses in a slab with temperature – dependent viscoelastic properties. Transaction of the Society of Rheology. VII, 155–169.
   Google Scholar
• Islam, R. and Tarefder, R.A., 2015. Coefficients of thermal contraction and expansion of asphalt concrete in the laboratory. Journal of Materials in Civil Engineering, 27 (11), doi:10.1061/(ASCE)MT.1943-5533.0001277.
   Web of Science ®Google Scholar
• Jaczewski, M. and Judycki, J., 2014. Effects of deviations from thermo-rheologically simple behavior of asphalt mixes in creep on developing of master curves of their stiffness modulus. Proceedings of the 9th International Conference ‘Environmental Engineering’. Vilnius. doi:10.3846/enviro.2014.157.
   Google Scholar
• Janoo, V., Bayer, J., and Walsh, M., 1993. Thermal Stress Measurements in Asphalt Concrete. CRREL Report 93-10. US Army Corps of Engineers, Cold Regions Research & Laboratory. Available from: http://acwc.sdp.sirsi.net/client/search/asset/1001292
   Google Scholar
• Jones, G.H., Darter, M.I., and Littlefield, G., 1968. Thermal expansion – contraction of asphalt concrete. Journal of the Association of Asphalt Paving Technologists, 37, 57–69.
   Google Scholar
• Judycki, J., 1990. Bending test of asphaltic mixtures under statical loading. Proceedings of the Fourth International Symposium RILEM, Mechanical Tests for Bituminous Mixes. Budapest, 207–233.
   Google Scholar
• Judycki, J., 1991. Road Bitumens and Asphalt Mixes Modified with Elastomer (In Polish). Gdansk University of Technology Scientific Papers, Civil Engineering, (Zeszyty Naukowe Politechniki Gdańskiej, Budownictwo Lądowe). PL ISSN 0373-8671, 45.
   Google Scholar
• Judycki, J., 1992. Non-linear viscoelastic behaviour of conventional and modified asphaltic concrete under creep. Materials and Structures, 25, 95–101.10.1007/BF02472462
   Web of Science ®Google Scholar
• Judycki, J., et al., 2014. Research on the effect of application of high modulus asphalt concrete (HMAC) in pavement structures on low – temperature cracking and decrease of permanent deformations. (in Polish). Final Report. Gdansk: Gdansk Technical University, Highway Engineering Division, 320. Available from: https://www.gddkia.gov.pl/userfiles/articles/p/prace-naukowo-badawcze-w-trakcie_3434/ACWMS_Raport_koncowy.pdf
   Google Scholar
• Judycki, J., et al., 2014. Investigation of low-temperature cracking in newly constructed high modulus asphalt concrete base course of a motorway pavement. Road Materials and Pavement Design, 16, S1, 362–388, http://dx.doi.org/10.1080/14680629.2015.10296774
   Google Scholar
• Kliewer, J.E., Zeng, H., and Vinson, T.S., 1996. Aging and low-temperature cracking of asphalt concrete mixture. Journal of Cold Regions Engineering, 10 (3), 134–148.10.1061/(ASCE)0887-381X(1996)10:3(134)
   Web of Science ®Google Scholar
• Komba, J. et al., 2012. Analytical modelling of visco – elastic behaviour of hot mix asphalt. Proceedings of 31th Southern African Transport Conference, Pretoria, 353–365.
   Google Scholar
• Lee, E.H. and Rogers, T.G., 1963. Solution of viscoelastic stress analysis problems using measured creep or relaxation functions. Journal of Applied Mechanics 1963 127–133.10.1115/1.3630057
   Google Scholar
• Liu, Y. and You, Z., 2008. Determining Burger’s model parameters of asphalt materials using creep-recovery testing data. Proceedings Pavements and Materials Modeling Testing and Performance ASCE, 26–36. doi:10.1061/41008(334)3.
   Google Scholar
• Marasteanu, M.O., et al., 2001. Time–temperature superposition and AASHTO MP1a critical temperature for low-temperature cracking. International Journal of Pavement Engineering, 5 (1), 31–38.
   Google Scholar
• Marasteanu, M., et al., 2007. Investigation of low temperature cracking in asphalt pavements. Pavements National Pooled Fund Study 776, Final Report, Department of Civil Engineering, University of Minnesota. Available from: http://www.lrrb.org/media/reports/200743.pdf
   Google Scholar
• Marasteanu, M., et al., 2012. Investigation of low temperature cracking in asphalt pavements, national pooled fund study – phase II. Research Project 2012-23. Department of Civil Engineering, University of Minnesota. Available from: http://www.lrrb.org/pdf/201223
   Google Scholar
• McLeod, N.W., 1971. Prepared discussion on low temperature cracking. Journal of the Association of Asphalt Paving Technologists, 40, 181–193.
   Google Scholar
• Monismith, C.L., Secor, G.A., and Secor, K.E., 1965. Temperature induced stresses and deformations in asphalt concrete. Journal of the Association of Asphalt Paving Technologists, 34, 248–285.
   Google Scholar
• Muki, R. and Sternberg, E., 1961. On transient thermal stresses in viscoelastic materials with temperature-dependent properties. Journal of Applied Mechanics, 1961 193–207.10.1115/1.3641651
   Google Scholar
• Palade, L.I., Attane, P., and Camaro, S., 2000. Linear viscoelastic behavior of asphalt and asphalt based mastic. Rheologica Acta, 39 (2), 180–190.10.1007/s003970050018
   Web of Science ®Google Scholar
• Polish Standard PN-74/S-96022, 1974. Highway and Airport Pavements. Asphalt Concrete Pavements ( In Polish).
   Google Scholar
• Polish Standard PN-EN 12591, 2009. Bitumen and bituminous binders – Specifications for Paving Grade Bitumens ( In Polish).
   Google Scholar
• Pszczola, M., 2006. Low – temperature cracking of asphalt layers of pavements. PhD Thesis. Gdansk: Gdansk University of Technology ( In Polish).
   Google Scholar
• Pszczola, M. and Judycki, J., 2009. Testing of low temperature behaviour of asphalt mixtures in bending creep test. Proceedings of 7th International Rilem Symposium on Advanced Testing and Characterization of Bituminous Materials. Rhodes, 303–312.
   Google Scholar
• Pszczola, M. and Judycki, J., 2015. Comparision of Calculation and Measured Thermal Stresses in Asphalt Concrete. The Baltic Journal of Road and Bridge Engineering, 10 (1), 39–45. doi:10.3846/bjrbe.2015.05.
   Web of Science ®Google Scholar
• Qian, G., Zheng, J., and Wang, Q., 2007. Calculating thermal stresses of asphalt pavement in environmental conditions. Symposium of Pavement Mechanics and Materials, Blacksburg, VA, 78–87.
   Google Scholar
• Still, P.B., 1972. Thermal stresses in bituminous pavements. TRRL Report LR 433. Crowthorne.
   Google Scholar
• Szydlo, A. and Mackiewicz, P., 2005. Asphalt mixes deformation sensitivity to change in rheological parameters. Journal of Materials in Civil Engineering, 17 (1), 1–9. doi:10.1061/(ASCE)0899-1561(2005)17:1(1).
   Web of Science ®Google Scholar
• Tabatabaee, H., et al., 2012. Investigation of low temperature cracking in asphalt pavements, national pooled fund study – phase ii, task 5- modeling of asphalt mixtures contraction and expansion due to thermal cycling. Madison: University of Wisconsin-Madison.
   Google Scholar
• Tabatabaee, H.A., Velasquez, R. and Bahia, H.U., 2012. Modeling thermal stress in asphalt mixtures undergoing glass transition and physical hardening. Transportation Research Record, Journal of the Transportation Research Board, 2296, 106–114.10.3141/2296-11
   Web of Science ®Google Scholar
• Vinson, T.S., Janoo, V.C. and Haas, R.C.G., 1989. Low temperature and thermal fatigue cracking. Summary Report, SHRP, SR-OSU-A-003A-89-1 Available from: http://onlinepubs.trb.org/onlinepubs/shrp/SHRP-A-306.pdf
   Google Scholar
• Wittmann, F.H., Knappe, O.W. and Schuhbauer, A., 1978. Temperature induced stresses in concrete. Cement and Concrete Research, 8, 703–710.10.1016/0008-8846(78)90079-0
   Web of Science ®Google Scholar
• Wittmann, F.H. and Schwanke, H., 1979. Influence of composition on temperature induced stresses in asphalt concrete mixtures. Cement and Concrete Research, 9, 497–500.10.1016/0008-8846(79)90047-4
   Web of Science ®Google Scholar
• WT-2, 2010. Technical guidelines, asphalt pavements on state roads, asphalt mixes. Warsaw: General Directorate for National Roads and Motorways. ( in Polish) Available from: https://www.gddkia.gov.pl/userfiles/articles/d/Dokumenty_techniczne/WT2.pdf
   Google Scholar
• Yavuzturk, C. and Ksabaiti, K., 2006. Assessment of thermal stresses in asphalt pavements due to environmenta conditions. Laramie, WY: University of Wyoming.
   Google Scholar
• Yoder, E.J. and Witczak, M.W., 1975. Principles of pavement design. New York: Wiley .10.1002/9780470172919
   Google Scholar
• Yungchun, C., Quingin, G., and Guojin, T., 2011. Creep characteristic analysis of asphalt concrete based on the modified Burgers model. Proceedings of International Conference, Mechanical and Electrical Engineering (TMME). Changchun, 2248–2251.
   Google Scholar
• Yusoff, N.I.M., Chailleux, E., and Airey, G.D., 1997. A comparative study of the influence of shift factor equations on master curve construction. International Journal of Pavement Research and Technology, Chinese Society of Pavement Engineering, 4 (6), 324–336.
   Google Scholar
• Zak, J., et al., 2014. Poisson’s ratio of hot asphalt mixtures determined by relaxation and small amll amplitude oscillation tests. design, analysis and asphalt material characterization for road and airfield pavements, GSP 24 ASCE, 49–58.
   Google Scholar
• Zbiciak, A., 2013. Mathematical description of rheological properties of asphalt-aggregate mixes. Bulletin of the Polish Academy of Sciences, Technical Sciences, Civil Engineering, 61 (1), 65-72, doi:10.2478/bpasts-2013-0005.
   Google Scholar
• Zhong, Y. and Geng, L., 2009. Thermal stresses of asphalt pavement under dependence of material characteristics on reference temperature. Mechanics of Time – Dependent Materials, 13, 81–91. doi:10.1007/s11043-008-9073-6.
   Web of Science ®Google Scholar