Risk of Pavement Fracture due to Eigenstresses at Early Ages and Beyond
Publication: Journal of Engineering Mechanics
Volume 142, Issue 12
Abstract
Tensile cracks significantly affect the durability of concrete pavements, leading to an increase in the costs of maintenance and rehabilitation. A model is developed that relates thermal, chemical, and hygral evolutions at small scales due to different distress mechanisms to the risk of fracture at the structural scale. The method is based on application of linear elastic fracture mechanics (LEFM) to eigenstresses that develop in infinite- and finite-length beams on an elastic foundation that represents the subgrade. Axial and bending contributions to the energy release rate are determined for a worst-case scenario of an entirely cracked pavement section in functions of material properties, structural dimensions, and eigenstress forces and moments. By way of example, the model is used to study the risk of fracture of concrete pavements due to two different mechanisms: (1) autogeneous shrinkage at early ages of placing the concrete and (2) thermal cycles at the short term and long term after a temperature change. In addition, scaling relationships are developed that provide insight into the improvement of different structural and material properties for minimizing the risk of fracture.
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Acknowledgments
This research was carried out by the CSHub@MIT with sponsorship provided by the Portland Cement Association (PCA) and the Ready Mixed Concrete (RMC) Research and Education Foundation. The CSHub@MIT is solely responsible for content.
References
AASHTO. (1993). AASHTO guide for design of pavement structures, Vol. 1, Washington, DC.
Acker, P. (2004). “Swelling, shrinkage and creep: A mechanical approach to cement hydration.” Mater. Struct., 37(4), 237–243.
Akono, A., Reis, P., and Ulm, F. (2011). “Scratching as a fracture process: From butter to steel.” Phys. Rev. Lett., 106(20), 204302.
ARTBA (American Road and Transportation Builders Association). (2015). “American road and transportation builders association, transportation frequently asked questions.” 〈http://www.artba.org/about/transportation-faqs/#15〉 (2015).
Bazant, Z. P., and Planas, J. (1997). Fracture and size effect in concrete and other quasibrittle materials, Vol. 16, CRC Press, Boca Raton, FL.
Bažant, Z. P. (1984). “Size effect in blunt fracture: Concrete, rock, metal.” J. Eng. Mech., 518–535.
Beuth, J. (1992). “Cracking of thin bonded films in residual tension.” Int. J. Solids Struct., 29(13), 1657–1675.
Chatti, K., and Zaabar, I. (2012). “Estimating the effects of pavement condition on vehicle operating costs, Project 1-45.”, National Cooperative Highway Research Program, Washington, DC.
Delatte, N. J. (2014). Concrete pavement design, construction, and performance, CRC Press, Boca Raton, FL.
Dormieux, L., Kondo, D., and Ulm, F.-J. (2006). Microporomechanics, Wiley, West Sussex, U.K.
Freund, L. B., and Suresh, S. (2004). Thin film materials: Stress, defect formation and surface evolution, Cambridge University Press, Cambridge, U.K.
Griffith, A. A. (1921). “The phenomena of rupture and flow in solids.” Philos. Trans. R. Soc. London Ser. A, 221, 163–198.
Hong, A. P., Li, Y. N., and Bazant, Z. P. (1997). “Theory of crack spacing in concrete pavements.” J. Eng. Mech., 267–275.
Hoover, C. G. and Bažant, Z. P. (2014). “Universal size-shape effect law based on comprehensive concrete fracture tests.” J. Eng. Mech., 473–479.
Hoover, C. G., and Ulm, F.-J. (2015). “Experimental chemo-mechanics of early-age fracture properties of cement paste.” Cem. Concr. Res., 75, 42–52.
Hu, X., and Wittmann, F. (2000). “Size effect on toughness induced by crack close to free surface.” Eng. Fract. Mech., 65(2), 209–221.
Ioannides, A., Thompson, M. R., and Barenberg, E. J. (1985). “Westergaard solutions reconsidered.” Transp. Res. Rec., 1043, 13–23.
Ioannides, A. M., and Khazanovich, L. (1998). “Nonlinear temperature effects on multilayered concrete pavements.” J. Transp. Eng., 128–136.
Irwin, G. (1958). “Fracture i.” Handbuch der Physik, Vol. 3, Springer, Berlin, 551–590 (in German).
Irwin, G. R. (1957). “Analysis of stresses and strains near the end of a crack traversing a plate.” J. Appl. Mech., 24, 361–364.
Louhghalam, A., Akbarian, M., and Ulm, F.-J. (2013). “Flügge’s conjecture: Dissipation- versus deflection-induced pavement–vehicle interactions.” J. Eng. Mech., 04014053.
Louhghalam, A., Akbarian, M., and Ulm, F.-J. (2014). “Scaling relations of dissipation-induced pavement–vehicle interactions.” Transp. Res. Rec., 2457, 95–104.
Louhghalam, A., Tootkaboni, M., and Ulm, F.-J. (2015). “Roughness-induced vehicle energy dissipation: Statistical analysis and scaling.” J. Eng. Mech., 04015046.
NCHRP (National Cooperative Highway Research Program). (2004). “Guide for mechanistic-empirical design of new and rehabilitated pavement structures.” NCHRP1-37A, Transportation Research Board, National Research Council, Washington, DC.
Okamoto, P., et al. (1994). “Guidelines for timing contraction joint sawing and earliest loading for concrete pavements, volume 1: Final rep.”, Federal Highway Administration, McLean, VA.
Pease, B. J. (2005). “The role of shrinkage reducing admixtures on shrinkage, stress development, and cracking.” Ph.D. thesis, Purdue Univ., West Lafayette, IN.
Pouget, S., Sauzéat, C., Benedetto, H. D., and Olard, F. (2011). “Viscous energy dissipation in asphalt pavement structures and implication for vehicle fuel consumption.” J. Mater. Civ. Eng., 568–576.
Qomi, M., et al. (2014). “Combinatorial molecular optimization of cement hydrates.” Nat. Commun., 5, in press.
Rice, J., and Levy, N. (1972). “The part-through surface crack in an elastic plate.” J. Appl. Mech., 39(1), 185–194.
Roesler, J., and Khazanovich, L. (1997). “Finite-element analysis of portland cement concrete pavements with cracks.” Transp. Res. Rec., 1568, 1–9.
Sandberg, U., Bergiers, A., Ejsmont, J. A., Goubert, L., Karlsson, R., and Zöller, M. (2011). “Road surface influence on tyre/road rolling resistance.” Models for Rolling Resistance in Road Infrastructure Asset Management Systems (MIRIAM).
Ugural, A. C., and Fenster, S. K. (2003). Advanced strength and applied elasticity, Pearson Education, Westford, MA.
Ulm, F. J., and Coussy, O. (1998). “Couplings in early-age concrete: From material modeling to structural design.” Int. J. Solids Struct., 35(31), 4295–4311.
Ulm, F. J., and Coussy, O. (2001). “What is a “massive” concrete structure at early ages? Some dimensional arguments.” J. Eng. Mech., 512–522.
Ulm, F.-J., Abuhaikal, M., Petersen, T., and Pellenq, R. J.-M. (2014). “Poro-chemo-fracture-mechanics … bottom-up: Application to risk of fracture design of oil and gas cement sheath at early ages.” Comput. Modell. Concr. Struct., 1, 61–71.
Ulm, F.-J., and Coussy, O. (1995). “Modeling of thermochemomechanical couplings of concrete at early ages.” J. Eng. Mech., 785–794.
Ulm, F.-J., and Coussy, O. (1996). “Strength growth as chemo-plastic hardening in early age concrete.” J. Eng. Mech., 1123–1132.
U.S. Department of Transportation, Federal Transit Administration. (2013). “2013 status of the nation’s highways, bridges and transit: Conditions and performance.” 〈http://www.fhwa.dot.gov/policy/2013cpr/pdfs.cfm〉 (2015).
Weiss, J., Lura, P., Rajabipour, F., and Sant, G. (2008). “Performance of shrinkage-reducing admixtures at different humidities and at early ages.” ACI Mater. J., 105(5), 478–486.
Westergaard, H. (1926). “Stresses in concrete pavements computed by theoretical analysis.” Public Roads, 7(2), 25–35.
Westergaard, H. (1927). “Analysis of stresses in concrete pavements due to variations of temperature.” Highway Research Board Proc., Vol. 6, Highway Research Board, Washington, DC, 201–215.
Wittmann, F. (1976). “On the action of capillary pressure in fresh concrete.” Cem. Concr. Res., 6(1), 49–56.
Yoder, E. J. and Witczak, M. W. (1975). Principles of pavement design, Wiley, Hoboken, NJ.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 12 • December 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Sep 29, 2015
Accepted: Aug 1, 2016
Published online: Sep 30, 2016
Published in print: Dec 1, 2016
Discussion open until: Feb 28, 2017
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