Comparison of Cyclic Triaxial Behavior of Unbound Granular Material under Constant and Variable Confining Pressure
Publication: Journal of Transportation Engineering
Volume 135, Issue 7
Abstract
Cyclic stresses due to passing wheels impose an accumulation of permanent strains in layers of unbound granular materials (UGMs) of flexible pavements. The hollow cylinder triaxial test would be the most appropriate test to simulate the in situ stress conditions but it is difficult to perform on UGMs due to their large maximum grain size. The simpler axisymmetric cyclic triaxial test does not consider the shear stress components. It can be performed with a constant confining pressure (CCP) or a variable confining pressure (VCP). CCP and VCP tests are commonly assumed to deliver similar residual and resilient strains as long as the average stress is the same. Thus, the simpler CCP test is mostly used in pavement engineering. However, this assumption is based on limited test data in the literature and may not be on the safe side. The present paper documents a comparative study of CCP and VCP tests on UGM. The study is mainly dedicated to the permanent deformations. The results show that only for some special stress paths do both types of tests deliver similar permanent axial or volumetric strains. For some other stress paths the CCP tests may underestimate the permanent axial strain in comparison to the corresponding VCP test.
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Acknowledgments
The experimental work has been done at the Institute of Soil Mechanics and Foundation Engineering at Ruhr-University Bochum, Germany. The stay of H. Rondón in Bochum was financed by scholarships of Colciencias and DAAD which is gratefully acknowledged herewith.
References
AASHTO. (1993). Guide for design of pavement structures, Washington, D.C.
Adu-Osei, A., Little, D. N., and Lytton, R. L. (2001). “Cross-anisotropic characterization of unbound granular materials.” Transportation Research Record. 1757, Transportation Research Board, Washington, D.C., 82–91.
Allen, J. J., and Thompson, M. R. (1974). “Resilient response of granular materials subjected to time-dependent lateral stresses.” Transportation Research Record. 510, Transportation Research Board, Washington, D.C., 1–13.
Asphalt Institute (TAI). (1982). Research and development of the asphalt institute’s thickness design manual MS-1, 9th Ed., College Park, Md.
Barksdale, R. D. (1972). “Laboratory evaluation of rutting in base course materials.” Proc., 3rd Int. Conf. on Structural Design of Asphalt Pavements, Vol. 3, Int. Society for Asphalt Pavements (ISAP), London, 161–174.
Barksdale, R. D. (1984). “Performance of crushed-stone base courses.” Transportation Research Record. 954, Transportation Research Board, Washington, D.C., 78–87.
Barksdale, R. D., and Hicks, R. G. (1973). “Material characterization and layered theory for use in fatigue analysis.” HRB Special Rep. No. 140, Transportation Research Board (TRB), Washington, D.C., 20–48.
Bonaquist, R. (1992). “Summary of pavement performance test using the accelerated loading facility, 1986–1990.” Transportation Research Record. 1354, Transportation Research Board, Washington, D.C., 74–85.
Boyce, H. R. (1980). “A non-linear model for the elastic behaviour of granular materials under repeated loading.” Proc., Int. Symp. on Soils under Cyclic and Transient Loading, Vol. 1, Balkema, Rotterdam, Swansea, U.K., 285–294.
Boyce, J. R. (1976). “The behaviour of a granular material under repeated loading.” Ph.D. thesis, Univ. of Nottingham, Nottingham, U.K.
Brown, S. F. (1974). “Repeated load testing of a granular material.” J. Geotech. Engrg. Div., 100(7), 825–841.
Brown, S. F. (1996). “Soil mechanics in pavement engineering. The 36th rankine lecture of the British Geotechnical Society.” Geotechnique, 46(3), 383–426.
Brown, S. F., and Hyde, A. F. L. (1975). “Significance of cyclic confining stress in repeated-load triaxial testing of granular material.” Transportation Research Record. 537, Transportation Research Board, Washington, D.C., 49–58.
Brown, S. F., and Pell, P. S. (1967). “An experimental investigation of the stresses, strains and deflections in a layered pavement structure subjected to dynamic loads.” Proc., 2nd Int. Conf. Struct. Des. of Asphalt Pavements, Int. Society for Asphalt Pavements (ISAP), Ann Arbor, 487–504.
Brown, S. F., and Selig, E. T. (1991). “Cyclic loading of soils.” The design of pavement and rail track foundations, Chap. 6, M. P. O'Reilly and S. F. Brown, eds., Blackie and Sons, Glasgow, 249–305.
Chan, F. W. K., and Brown, S. F. (1994). “Significance of principal stress rotation in pavements.” Proc., 13th ICSMFE, Balkema, Rotterdam, New Delhi, India, 1823–1826.
Collins, I. F., and Boulbibane, M. (2000). “Geomechanical analysis of unbound pavements based on shakedown theory.” J. Geotech. Geoenviron. Eng., 126, 50–59.
Dawson, A. R., Mundy, M. J., and Huhtala, M. (2000). “European research into granular material for pavement bases and subbases.” Transportation Research Record, Transportation Research Board, Washington, D.C., 91–99.
DIN EN. (2004). “Cyclic load triaxial test for unbound mixtures.” DINEN13286-7.
Garnica, P. A., Pérez, G. N., and Gomes, L. A. (2001). “Módulo de resiliencia en suelos finos y materiales granulares.” Secretaría de Comunicaciones y Transportes (SCI) Technical Rep. No. 142, Instituto Mexicano del Transporte (IMT), Sanfandila, México.
Gidel, G., Breysee, D., Hornych, P., Chauvin, J.-J., and Denis, A. (2001). “A new approach for investigating the permanent deformation behaviour of unbound granular material using the repeated load triaxial apparatus.” Bulletin des Laboratoires des Ponts et Chaussées, Nantes, France, 5–21.
Goto, S., Tatsuoka, F., Shibuya, S., Kim, Y.-S., and Sato, T. (1991). “A simple gauge for local small strain measurements in the laboratory.” Soils Found., 31(1), 169–180.
Habiballah, T., and Chazallon, C. (2005). “An elastoplastic model based on the shakedown concept for flexible pavements unbound granular materials.” Int. J. Numer. Analyt. Meth. Geomech., 29, 577–596.
Habiballah, T., Chazallon, C., and Hornych, P. (2004). “Simplified model based on the shakedown theory for flexible pavements.” Proc., 6th Int. Symp. on Pavements Unbound, Balkema, Rotterdam, Nottingham, U.K., 191–198.
Hicher, P. Y., and Chang, C. S. (2006). “Anisotropic nonlinear elastic model for particulate materials.” J. Geotech. Geoenviron. Eng., 132(8), 1052–1061.
Hicks, R. G., and Monismith, C. L. (1972). “Prediction of the resilient response of pavements containing granular layers using non-linear elastic theory.” Proc., 3rd Int. Conf. on Asphalt Pavements, Vol. 1, Int. Society for Asphalt Pavements (ISAP), London, 410–429.
Hoff, I., and Nordal, R. S. (1999). “Constitutive model for unbound granular materials based in hyperelasticity.” Unbound granular materials—Laboratory testing, in-situ testing and modelling, G. Correia, ed., Balkema, Rotterdam, The Netherlands, 187–196.
Hoque, E., Sato, T., and Tatsuoka, F. (1997). “Performance evaluation of LDTs for use in triaxial tests.” Geotech. Test. J., 20(2), 149–167.
Huurman, M. (1997). “Permanent deformation in concrete block pavements.” Ph.D. thesis, Delft Univ. of Technology, Delft, The Netherlands.
Hyde, A. F. L. (1974). “Repeated load triaxial testing of soils.” Ph.D. thesis, Univ. of Nottingham, Nottingham, U.K.
Ingason, T., Wiman, L. G., and Haraldsson, H. (2002). “HVS—Testing of Iceland low volume road structures.” Proc., ISAP—9th Int. Conf. on Design of Asphalt Pavements, Int. Society for Asphalt Pavements (ISAP), Copenhagen, Denmark.
Instituto de Desarrollo Urbano and Universidad de Los Andes (IDU). (2002). Manual de diseno de pavimentos para Bogotá, Bogotá D.C., Colombia.
INVIAS Instituto Nacional de Vías. (2002). Manual de diseno de pavimentos asfálticos en vías con Bajos, Medios y Altos Volúmenes de Tránsito, Bogotá, D.C., Colombia.
Ishihara, K., and Yasuda, S. (1972). “Sand liquefaction due to irregular excitation.” Soils Found., 12(4), 65–77.
Kalcheff, I. V., and Hicks, R. G. (1973). “A test procedure for determining the resilient properties of granular materials.” J. Test. Eval., 1(6), 472–479.
Kolisoja, P., Saarenketo, T., Peltoniemi, H., and Vuorimies, N. (2002). “Laboratory testing of suction and deformation properties of base course aggegates.” Transportation Research Record. 1787, Transportation Research Board, Washington, D.C., 83–89.
Lekarp, F., Isacsson, U., and Dawson, A. (2000). “State of the art. I: Resilient response of unbound aggregates.” J. Transp. Eng., 126(1), 66–75.
Lekarp, F., Richardson, I. R., and Dawson, A. (1996). “Influences on permanent deformation behavior of unbound granular materials.” Transportation Research Record. 1547, Transportation Research Board, Washington, D.C., 68–75.
Morgan, J. R. (1966). “The response of granular materials to repeated loading.” Proc., 3rd Conf., ARRB, Sydney.
Nataatmadja, A., and Parkin, A. K. (1989). “Characterization of granular materials for pavements.” Can. Geotech. J., 26, 725–730.
Nicholson, P. G., Seed, R. B., and Anwar, H. A. (1993). “Elimination of membrane compliance in undrained triaxial testing. I: Measurement and evaluation.” Can. Geotech. J., 30, 727–738.
Paute, J.-L., Dawson, A. R., and Galjaard, P. J. (1996). “Recommendations for repeated load triaxial test equipment and procedure for unbound granular materials.” Flexible pavement, G. Correia, ed., Balkema, Rotterdam, The Netherlands, 23–34.
Pidwerbesky, B. D. (1996). “Fundamental behaviour of unbound granular pavements subjected to various loading conditions and accelerated trafficking.” Ph.D. thesis, Univ. of Canterbury, Christchurch, New Zealand.
Pyke, R., Seed, H. B., and Chan, C. K. (1975). “Settlement of sands under multidirectional shaking.” J. Geotech. Engrg. Div., 101(4), 379–398.
Rada, C., and Witczak, W. M. (1981). “Comprehensive evaluation of laboratory resilient moduli results for granular materials.” Transportation Research Record. 810, Transportation Research Board, Washington, D.C., 23–33.
Rondón, H. A., and Reyes, A. (2008). “Comportamiento de materiales granulares en pavimentos flexibles: Estado del conocimiento.” Ed. Universidad Católica de Colombia y Pontificia Universidad Javeriana, Bogotá D.C., Columbia.
Rondón, H. A., Wichtmann, T., Triantafyllidis, Th., and Lizcano, A. (2007). “Hypoplastic material constants for a well-graded granular material for base and subbase layers of flexible pavements.” Acta Geotechnica, 2(2), 113–126.
Shell International Petroleum Company (1978). Shell pavement design manual, Asphalt Pavement and Overlays for Road Traffic, London.
Sweere, G. T. H. (1990). “Unbound granular bases for roads.” Ph.D. thesis, Delft Univ. of Technology, Delft, The Netherlands.
Taciroglu, E., and Hjelmstad, K. D. (2002). “Simple nonlinear model for elastic response of cohesionless granular materials.” J. Eng. Mech., 128, 969–978.
Tatsuoka, F., Ishiara, M., Uchimura, T., and Gomes Correia, A. (1999). “Non-linear resilient behaviour of unbound granular materials predicted by the cross-anisotropic hypo-quasi-elasticity model.” Unbound granular materials—Laboratory testing, in-situ testing, and modelling, G. Correia, ed. Balkema, Rotterdam, The Netherlands, 197–206.
Theyse, H. L. (2002). “Stiffness, strength, and performance of unbound aggregate materials: Application of South African HVS and laboratory results to California flexible pavements.” Report Produced under the auspices of the California Partnered Pavement Research Program for the California Department of Transportation, Technical Rep., Pretoria, Republic of South Africa.
Thom, N. H., and Brown, S. F. (1987). “Effect of moisture on the structural performance of a crushed-limestone road base.” Transportation Research Record. 1121, Transportation Research Board, Washington, D.C., 50–56.
Thom, N. H., and Dawson, A. R. (1996). “The permanent deformation of a granular material modelled using hollow cylinder testing.” Flexible pavement, G. Correia, ed., Balkema, Rotterdam, The Netherlands, 65–78.
Thompson, M. R., and Smith, K. L. (1990). “Repeated triaxial characterization of granular bases.” Transportation Research Record. 1278, Transportation Research Board, Washington, D.C., 7–17.
Transport Research Laboratory (TRL). (1993). A guide to the structural design of bitumen-surfaced roads in tropical and sub-tropical countries, RN31, 4th Ed, Crowthorne, Berkshire.
Tseng, K. H., and Lytton, R. L. (1989). “Prediction of permanent deformation in flexible pavement materials.” Asph. Paving Technol., 58, 155–156.
Tutumluer, E., and Thompson, M. R. (1997). “Anisotropic modelling of granular bases in flexible pavements.” Transportation Research Record. 1577, Transportation Research Board, Washington, D.C., 18–26.
Uzan, J. (1999). “Granular material characterization for mechanistic pavement design.” J. Transp. Eng., 125, 108–113.
Uzan, J. (2004). “Permanent deformation in flexible pavements.” J. Transp. Eng., 130, 6–13.
Werkmeister, S. (2003). “Permanent deformation behaviour of unbound granular materials in pavement constructions.” Ph.D. thesis, Univ. of Technology, Dresden, Germany.
Werkmeister, S., Dawson, A., and Wellner, F. (2004). “Pavement design model of unbound granular materials.” J. Transp. Eng., 130, 665–674.
Werkmeister, S., Numrich, R., Dawson, A., and Wellner, F. (2002). “Deformation behaviour of granular materials under repeated dynamic load.” Proc., Int. Workshop on Environmental Geomechanics, Monte Verita, Ascona, L. Vulliet, L. Laloui, and B. A. Schrefler, eds., EDFL Press, Lausanne, Switzerland, 215–223.
Wichtmann, T., Niemunis, A., and Triantafyllidis, Th. (2005). “Strain accumulation in sand due to cyclic loading: Drained triaxial tests.” Soil Dyn. Earthquake Eng., 25(12), 967–979.
Wichtmann, T., Niemunis, A., and Triantafyllidis, Th. (2007). “On the influence of the polarization and the shape of the strain loop on strain accumulation in sand under high-cyclic loading.” Soil Dyn. Earthquake Eng., 27(1), 14–28.
Youd, T. L. (1972). “Compaction of sands by repeated shear straining.” J. Soil Mech. and Found. Div., 98(7), 709–725.
Zaman, M., Chen, D., and Laguros, J. (1994). “Resilient moduli of granular materials.” J. Transp. Eng., 120(6), 967–988.
Information & Authors
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Published In
Journal of Transportation Engineering
Volume 135 • Issue 7 • July 2009
Pages: 467 - 478
Copyright
© 2009 ASCE.
History
Received: Jun 17, 2008
Accepted: Nov 4, 2008
Published online: Mar 3, 2009
Published in print: Jul 2009
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