Significance of eigenstresses and curling stresses for total thermal stresses in a concrete slab, as a function of subgrade stiffness

References

• Armaghani J., Larsen T., and Smith L., 1987. Temperature response of concrete pavements. Transportation Research Record, 1121, 23–33.
   Google Scholar
• Ausweger M., et al., 2019. Early-age evolution of strength, stiffness, and non-aging creep of concretes: experimental characterization and correlation analysis. Materials, 12 (2), 207.
   PubMed Web of Science ®Google Scholar
• Barber E., 1957. Calculation of maximum pavement temperatures from weather reports. Highway Research Board Bulletin, 168, 1–8.
   Google Scholar
• Barré de Saint-Venant A.J.C., 1855. Mémoire sur la torsion des prismes [essay on twisting prisms], mémoire des savant étrangers [essays of foreign scholars]. Comptes Rendues De L'Académie Des Sciencies, 14, 233–560.
   Google Scholar
• Bayraktarova K., et al., 2021. Characterisation of the climatic temperature variations in the design of rigid pavements. International Journal of Pavement Engineering, 1–14. doi: 10.1080/10298436.2021.1887486.
   Web of Science ®Google Scholar
• Bažant Z., et al., 2015. RILEM draft recommendation: TC-242-MDC multi-decade creep and shrinkage of concrete: material model and structural analysis. Materials and Structures, 48, 753–770.
   Web of Science ®Google Scholar
• Bentz D.P., 2000. A computer model to predict the surface temperature and time-of-wetness of concrete pavements and bridge decks. National Institute of Standards and Technology – Technology Administration, U.S. Department of Commerce.
   Google Scholar
• Bradbury R.D., 1938. Reinforced concrete pavements. University of Wisconsin – Madison: Wire Reinforcement Institute.
   Google Scholar
• Ceylan H., et al., 2016. Impact of curling and warping on concrete pavement. Program for Sustainable Pavement Engineering and Research. Ames, IA: Institute for Transportation, Iowa State University.
   Google Scholar
• Choubane B., and Tia M., 1992. Nonlinear temperature gradient effect on maximum warping stresses in rigid pavements. Transportation Research Record, 1370, 11–19.
   Google Scholar
• Choubane B., and Tia M., 1995. Analysis and verification of thermal-gradient effects on concrete pavement. Journal of Transportation Engineering, 121 (1), 75–81.
   Google Scholar
• Díaz Flores R., et al., 2021. Multi-directional falling weight deflectometer (FWD) testing and quantification of the effective modulus of subgrade reaction for concrete roads. International Journal of Pavement Engineering, 1–19. doi: 10.1080/10298436.2021.2006651.
   Web of Science ®Google Scholar
• Dlubal Software GmbH, 2020. RFEM – FEM structural analysis software.
   Google Scholar
• Hiller J.E., and Roesler J.R., 2010. Simplified nonlinear temperature curling analysis for jointed concrete pavements. Journal of Transportation Engineering, 136, 654–663.
   Google Scholar
• Höller R., et al., 2019. Rigorous amendment of vlasov's theory for thin elastic plates on elastic winkler foundations, based on the principle of virtual power. European Journal of Mechanics/ A Solids, 73, 449–482.
   Web of Science ®Google Scholar
• Ioannides A.M., and Khazanovich L., 1998. Nonlinear temperature effects on multilayered concrete pavements. Journal of Transportation Engineering, 124, 128–136.
   Web of Science ®Google Scholar
• Janssen D.J., and Snyder M.B., 2000. Temperature-moment concept for evaluating pavement temperature data. Journal of Infrastructure Systems, 6, 81–83.
   Google Scholar
• Khazanovich L., 1994. Structural analysis of multi-layered concrete pavement systems. Thesis (PhD). University of Illinois at Urbana-Champaign.
   Google Scholar
• Khazanovich L., et al., 2001. Development of rapid solutions for prediction of critical continuously reinforced concrete pavement stresses. Transportation Research Record, 1778, 64–72.
   Google Scholar
• Kuo C.M., Hall K.T., and Darter M.I., 1995. Three-dimensional finite element model for analysis of concrete pavement support. Transportation Research Record, 1505, 119–127.
   Google Scholar
• Liang S., and Wei Y., 2018. Modelling of creep effect on moisture warping and stress developments in concrete pavement slabs. International Journal of Pavement Engineering, 19 (5), 429–438.
   Web of Science ®Google Scholar
• Louhghalam A., Petersen T., and Ulm F.J., 2018. Translating environmentally-induced eigenstresses to risk of fracture for design of durable concrete pavements. Computational modelling of concrete structures. CRC Press, 265–273.
   Google Scholar
• Mang H.A., and Hofstetter G., 2013. Festigkeitslehre. 4th ed., Springer Vieweg.
   Google Scholar
• Martin U., et al., 2016. Abschätzung der Untergrundverhältnisse am Bahnkörper anhand des Bettungsmoduls [in German]. ETR-Eisenbahntechnische Rundschau, 5, 50–57.
   Google Scholar
• MEPDG, 2008. Mechanistic-empirical pavement design guide: a manual of practice. AASHTO.
   Google Scholar
• Mohamed A.R., and Hansen W., 1997. Effect of nonlinear temperature gradient on curling stress in concrete pavements. Transportation Research Record, 1568, 65–71.
   Google Scholar
• Murthy V., 2011. Textbook of soil mechanics and foundation engineering. CBS Publisher & Distributors/Alkem Company (S).
   Google Scholar
• NCHRP, 2004. Guide for mechanistic-empirical design of new and rehabilitated pavement structures. Transportation Research Board. Washington, DC, USA, ARA, Inc., ERES Division, 505 West University Avenue, Champaign, Illinois 61820. Project 1-37A.
   Google Scholar
• Neville A.M., 1995. Properties of concrete. Vol. 4, London: Longman.
   Google Scholar
• Qin Y., 2016. Pavement surface maximum temperature increases linearly with solar absorption and reciprocal thermal inertial. International Journal of Heat and Mass Transfer, 97, 391–399.
   Web of Science ®Google Scholar
• Sarkar A., and Norouzi R., 2020. Evaluating curling stress of continuous reinforced concrete pavement. ACI Structural Journal, 117 (1), 53–62.
   Web of Science ®Google Scholar
• Sen S., and Khazanovich L., 2021. Reconsidering the strength of concrete pavements. International Journal of Pavement Engineering, 1–11. doi: 10.1080/10298436.2021.2020270.
   Web of Science ®Google Scholar
• Siddique Z.Q., Hossain M., and Meggers D., 2005. Temperature and curling measurements on concrete pavement. Proceedings of the Mid-Continent Transportation Research Symposium 2005. Ames, Iowa, USA. Ames, Iowa, USA, 1–12.
   Google Scholar
• Sii H. B., et al., 2014. Development of prediction model for doweled joint concrete pavement using three-dimensional finite element analysis. Applied Mechanics and Materials, 587, 1047–1057.
   Google Scholar
• Tabatabaie A.M., and Barenberg E.J., 1978. Finite-element analysis of jointed or cracked concrete pavements. Transportation Research Record, 671, 11–19.
   Google Scholar
• Teller L., and Sutherland C., 1935. The structural design of concrete pavements; parts 1+2. Division of Tests, Bureau of Public Roads, 16 (8-9), 145–189.
   Google Scholar
• Thomlinson J., 1940. Temperature variations and consequent stresses produced by daily and seasonal temperature cycles in concrete slabs. Concrete Constructional Engineering, 36 (6), 298–307.
   Google Scholar
• Time & Date, A, 2020. Wetterrückblick für Bad Vöslau, Niederösterreich, Österreich – Oktober 2015. Available from: https://www.timeanddate.de/wetter/oesterreich/bad-voeslau/rueckblick?month=10&year=2015. [Accessed 1 March 2022].
   Google Scholar
• Wang H., et al., 2019a. Concrete pavements subjected to hail showers: A semi-analytical thermoelastic multiscale analysis. Engineering Structures, 200, 109677.
   Web of Science ®Google Scholar
• Wang H., et al., 2019b. Multiscale thermoelastic analysis of the thermal expansion coefficient and of microscopic thermal stresses of mature concrete. Materials, 12 (17), 2689.
   PubMed Web of Science ®Google Scholar
• Wei Y., et al., 2019. Nonlinear strain distribution in a field-instrumented concrete pavement slab in response to environmental effects. Road Materials and Pavement Design, 20 (2), 367–380.
   Web of Science ®Google Scholar
• Wei Y., Liang S., and Gao X., 2017. Numerical evaluation of moisture warping and stress in concrete pavement slabs with different water-to-cement ratio and thickness. Journal of Engineering Mechanics, 143 (2), 04016111.
   Web of Science ®Google Scholar
• Westergaard H., 1927. Analysis of stresses in concrete pavements due to variations of temperature. Highway Research Board Proceedings, 6, 201–215.
   Google Scholar
• Winkler E., 1867. Die Lehre von der Elastizität und Festigkeit: Mit besonderer Rücksicht auf ihre Anwendung in der Technik; für polytechnische Schulen, Bauakademien, Ingenieure, Maschinenbauer, Architekten etc. [Lessons on elasticity and strength of materials: with special consideration of their application in technology; for polytechnical schools, building academies, engineers, mechanical engineers, architects, etc]. Dominicus.
   Google Scholar
• Yu H.T., Khazanovich L., and Darter M.I., 2004. Consideration of JPCP curling and warping in the 2002 design guide. CD-ROM Proceedings of the 83rd Annual Meeting of the Transportation Research Board.
   Google Scholar
• Zhang J., et al., 2003. Model for nonlinear thermal effect on pavement warping stresses. Journal of Transportation Engineering, 129 (6), 695–702.
   Google Scholar