Shakedown Approaches to Rut Depth Prediction in Low-Volume Roads
Publication: Journal of Engineering Mechanics
Volume 136, Issue 11
Abstract
Rutting, due to permanent deformations of unbound materials, is one of the principal damage modes of low traffic pavements. Flexible pavement design methods remain empirical; they do not take into account the inelastic behavior of pavement materials and do not predict the rutting under cyclic loading. A finite-element program, based on the concept of the shakedown theory developed by Zarka for metallic structures under cyclic loadings, has been used to estimate the permanent deformations of unbound granular materials subjected to traffic loading. Based on repeated load triaxial tests, a general procedure has been developed for the determination of the material parameters of the constitutive model. Finally, the results of a finite-element modeling of the long-term behavior of a flexible pavement with the simplified method are presented and compared to the results of a full-scale flexible pavement experiment performed by Laboratoire Central des Ponts et Chaussées. Finally, the calculation of the rut depth evolution with time is carried out.
Get full access to this article
View all available purchase options and get full access to this article.
References
Allou, F., Chazallon, C., and Hornych, P. (2007). “A numerical model for flexible pavements rut depth evolution with time.” Int. J. Numer. Analyt. Meth. Geomech., 31, 1–22.
Bonaquist, R. F., and Witczak, M. W. (1997). “A comprehensive constitutive model for granular materials in flexible pavement structures.” Proc., 4th Int. Conf. on Asphalt Pavements, 783–802.
Boyce, J. R. (1980). “A non-linear model for the elastic behavior of granular materials under repeated loading.” Proc., Int. Symp. on Soils under Cyclic and Transient Loading, 285–294.
CAST3M. (2009). ⟨http://www.cast3m.cea.fr/cast3m⟩.
Chazallon, C., Hornych, P., and Mouhoubi, S. (2006). “An elastoplastic model for the long term behavior modelling of unbound granular materials in flexible pavements.” Int. J. Geomech., 6(4), 279–289.
Desai, C. S. (2002). “Mechanistic pavement analysis and design using unified material and computer models.” Proc., 3rd Int. Symp. on 3D Finite-Elements for Pavement Analysis, 1–63.
El Abd, A. (2006). “Développement d’une méthode de prédiction des déformations de surface des chaussées à assises non traitées.” Thèse de doctorat, Université de Bordeaux, France.
Gidel, G., Hornych, P., Chauvin, J. -J., Breysse, D., and Denis, A. (2001). “Nouvelle approche pour l’étude des déformations permanentes des graves non traitées à l’appareil triaxial à chargement répétés.” Bulletin de liaison des LPC, 5–22.
Habiballah, T. M., and Chazallon, C. (2005). “Cyclic plasticity based model for the unbound granular materials permanent strains modelling of flexible pavements.” Int. J. Numer. Analyt. Meth. Geomech., 29, 577–596.
Halphen, B., and Nguyen, Q. S. (1975). “Sur les matériaux standards généralisés.” J. Mech., 14–28.
Hornych, P., Corté, J. F., and Paute J. L. (1993). “Etude des déformations permanentes sous chargements répétés de 3 graves non traitées.” Bulletin de Liaison des LPC, 184, 45–55.
Hornych, P., Kazai, A., and Piau, J. M. (1998). “Study of the resilient behavior of unbound granular materials.” Proc., 5th Conf. on Bearing Capacity of Roads and Airfields, Vol. 3, 1277–1287.
Huet, C. (1963). “Etude par une méthode d’impédance du comportement visco-élastique des matériaux hydrocarbons.” Thèse de Docteur-Ingénieur, Faculté des Sciences de Paris, France.
Lekarp, F., and Dawson, A. (1998). “Modelling permanent deformation behavior of UGM.” Constr. Build. Mater., 12(1), 9–18.
Maier, G., Pastor, J., Ponter, A. R. S., and Weichert, D. (2003). “Chapter 12: Direct methods of limit and shakedown analysis.” Numerical and computational methods, R. de Borst and H. A. Mang, eds., Vol. 3, Elsevier-Pergamon, Amsterdam, The Netherlands.
Mandel, J. (1965). “Généralisation de la théorie de plasticité de W.T. Koiter.” Int. J. Solids Struct., 1(3), 273–295.
Mayoraz, F. (2002). “Comportement mécanique des milieux granulaires sous sollicitations cycliques: Application aux fondations des chaussées souples.” Thèse de Doctorat, Ecole Polytechnique Fédérale de Lausanne, France.
Melan, E. (1936). “Theorie statisch unbestimmter systeme aus ideal-plastischem.” Baustaff. Sitzber akad Wiss Wien II 2, 195–218.
Moreau, J. J. (1971). “Rafle par un convexe variable.” Séminaire unilatérale.
Paute, J. L., Hornych, P., and Benaben, J. P. (1994). “Comportement mécanique des graves non traitées.” Bulletin de Liaison des LPC, 190, 27–38.
Sayegh, G. (1965). “Contribution à l'étude des propriétés visco-élastiques des bitumes purs et des bétons bitumineux.” Thèse de Docteur-Ingénieur, Sorbonne, France.
Suiker, A. S. J., and de Borst, R. (2003). “A numerical model for cyclic deterioration of railways tracks.” Int. J. Numer. Methods Eng., 57, 441–470.
Yu, H. S. (2005). “Special issue on the shakedown theory.” International Journal of Road Materials and Pavement Design, 6, 1.
Zarka, J., and Casier, J. (1979). “Elastic plastic response of structure to cyclic loading: Practical rules.” Mechanics Today, 6, 93–198.
Information & Authors
Information
Published In
Copyright
© 2010 ASCE.
History
Received: Oct 2, 2009
Accepted: Mar 15, 2010
Published online: Mar 17, 2010
Published in print: Nov 2010
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.