State-of-the-Art: Prediction of Resilient Modulus of Unsaturated Subgrade Soils
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VIEW THE REPLYPublication: International Journal of Geomechanics
Volume 16, Issue 4
Abstract
In this paper, equations that were proposed in the literature over the past four decades to estimate or predict the variation of the resilient modulus with respect to soil suction for pavement base-course materials and subgrade soils are summarized into three groups: (1) empirical relationships, (2) constitutive models incorporating the soil suction into applied shearing or confining stresses, and (3) constitutive models extending the independent stress state variable approach. Two equations selected from each of the groups (a total of six equations) are used to predict the resilient modulus–soil suction correlations for three compacted subgrade soils. Strengths and limitations of these widely used equations are discussed based on the comparisons between the measurements and predictions. The key objective of the state-of-the-art research summarized in this paper is for assisting practicing engineers to choose suitable equations for the rational prediction of the resilient modulus taking into account the influence of the soil suction.
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Acknowledgments
The authors gratefully acknowledge the research funding and financial support from the Natural Sciences and Engineering Research Council (NSERC) of Canada and China Scholarship Council–University of Ottawa Joint Scholarship.
References
AASHTO. (1986). “Standard method of test for resilient modulus of subgrade soils.” T272-82, Washington, DC.
AASHTO. (1992). “Standard Method of test for resilient modulus of subgrade soils and untreated base/sub-base materials.” T292-91, Washington, DC.
AASHTO. (2003). “Determining the resilient modulus of soils and aggregate materials.” T307-99, Washington, DC.
AASHTO. (2008). “Classification of soil and soil-aggregate mixtures for highway construction.” M-145, Washington, DC.
Abu-Farsakh, M. Y., Mehrotra, A., Mohammad, L., and Gaspard, K. (2015). “Incorporating the effect of moisture variation on resilient modulus for unsaturated fine-grained subgrade soils.” Proc., Transportation Research Board 94th Annual Meeting (No. 15-1149), Washington, DC.
Alonso, E. E., Gens, A., and Josa, A. (1990). “A constitutive model for partially saturated soils.” Géotechnique, 40(3), 405–430.
Alonso, E. E., Pinyol, N. M., and Gens, A. (2013). “Compacted soil behaviour: Initial state, structure and constitutive modelling.” Géotechnique, 63(6), 463–478.
ARA, Inc., ERES Consultants Division. (2004). “Guide for mechanistic–empirical design of new and rehabilitated pavement structures.” Final Rep., NCHRP Project 1-37A, Transportation Research Board, Washington, DC.
Azam, A. M., Cameron, D. A., and Rahman, M. M. (2013). “Model for prediction of resilient modulus incorporating matric suction for recycled unbound granular materials.” Can. Geotech. J., 50(11), 1143–1158.
Ba, M., Nokkaew, K., Fall, M., and Tinjum, J. M. (2013). “Effect of matric suction on resilient modulus of compacted aggregate base courses.” Geotech. Geol. Eng., 31(5), 1497–1510.
Bishop, A. W. (1959). “The principle of effective stress.” Tecknish Ukebland, 106(39), 859–863.
Brown, S. F. (1996). “Soil mechanics in pavement engineering.” Géotechnique, 46(3), 383–426.
Caicedo, B., Coronado, O., Fleureau, J. M., and Correia, A. G. (2009). “Resilient behaviour of non-standard unbound granular materials.” Road Mater. Pavement Des., 10(2), 287–312.
Caliendo, C. (2012). “Local calibration and implementation of the mechanistic-empirical pavement design guide for flexible pavement design.” J. Transp. Eng., 348–360.
Cary, C. E., and Zapata, C. E. (2011). “Resilient modulus for unsaturated unbound materials.” Road Mater. Pavement Des., 12(3), 615–638.
Ceratti, J. A., Gehling, W. Y. Y., and Núñez, W. P. (2004). “Seasonal variations of a subgrade soil resilient modulus in southern Brazil.” Transportation Research Record 1874, Transportation Research Board, Washington, DC, 165–173.
Craciun, O., and Lo, S. C. R. (2010). “Matric suction measurement in stress path cyclic triaxial testing of unbound granular base materials.” Geotech. Testing J., 33(1), 33–44.
Doucet, F., and Doré, G. (2004). “Module réversible et coefficient de poisson réversible des matériaux granulaires C-LTPP.” Proc. 57th Canadian Geotechnical Conf. and the 5th Joint CGS/IAH-CNC Conf., Québec, Canada.
Drumm, E. C., Reeves, J. S., Madgett, M. R., and Trolinger, W. D. (1997). “Subgrade resilient modulus correction for saturation effects.” J. Geotech. Geoenviron. Eng., 663–670.
Edil, T. B., and Motan, S. E. (1979). “Soil-water potential and resilient behavior of subgrade soils.” Transportation Research Record 705, Transportation Research Board, Washington, DC, 54–63.
Edil, T. B., Motan, S. E., and Toha, F. X. (1981). “Mechanical behavior and testing methods of unsaturated soils.” Laboratory shear strength of soil. ASTM STP 740, American Society for Testing and Materials, West Conshohocken, PA, 114–129.
Edris, E. V., and Lytton, R. L. (1976). “Dynamic properties of subgrade soils, including environmental effects.” Rep. TTI-2-18-74-164-3, Texas A&M Univ., College Station, TX.
Fredlund, D. G., Bergan, A. T., and Wong, P. K. (1977). “Relation between resilient modulus and stress research conditions for cohesive subgrade soils.” Transportation Research Record 642, Transportation Research Board, Washington, DC, 73–81.
Fredlund, D. G., Morgenstern, N. R., and Widger, R. A. (1978). “The shear strength of unsaturated soils.” Can. Geotech. J., 15(3), 313–321.
Fredlund, D. G., and Xing, A. (1994). “Equations for the soil-water characteristic curve.” Can. Geotech. J., 31(4), 521–532.
Fung, Y. C. (1977). A first course in continuum mechanics, Prentice Hall, Englewood Cliffs, NJ.
George, K. P. (2004). “Prediction of resilient modulus from soil index properties.” Rep. FHWA/MS-DOT-RD-04-172, Federal Highway Administration, U.S. Dept. of Transportation, Washington, DC.
Gu, F., Sahin, H., Luo, X., Luo, R., and Lytton, R. L. (2014). “Estimation of resilient modulus of unbound aggregates using performance-related base course properties.” J. Mater. Civ. Eng., 04014188.
Gupta, S. C., Ranaivoson, A., Edil, T. B., Benson, C. H., and Sawangsuriya, A. (2007). Pavement design using unsaturated soil technology, Minnesota Dept. of Transportation, St. Paul, MN.
Han, Z., and Vanapalli, S. K. (2015). “Model for predicting the resilient modulus of unsaturated subgrade soil using the soil-water characteristic curve.” Can. Geotech. J., 52(10), 1605–1619.
Heath, A. C., Pestana, J. M., Harvey, J. T., and Bejerano, M. O. (2004). “Normalizing behavior of unsaturated granular pavement materials.” J. Geotech. Geoenviron. Eng., 896–904.
Ho, X. N., Nowamooz, H., Chazallon, C., and Migault, B. (2014a). “Effective stress concept for the effect of hydraulic hysteresis on the resilient behaviour of low traffic pavements.” Int. J. Pavement Eng., 16(9), 842–856.
Ho, X. N., Nowamooz, H., Chazallon, C., and Migault, B. (2014b). “Influence of fine content and water content on the resilient behaviour of a natural compacted sand.” Road Mater. Pavement Des., 15(3), 606–621.
Hossain, M. S. (2008). “Characterization of subgrade resilient modulus for Virginia soils and its correlation with the results of other soil tests.” Rep. VTRC 09-R4, Virginia Transportation Research Council, Charlottesville, VA.
Hoyos, L. R., Suescún-Florez, E. A., and Puppala, A. J. (2015). “Stiffness of intermediate unsaturated soil from simultaneous suction-controlled resonant column and bender element testing.” Eng. Geol., 188, 10–28.
Jin, M. S., Lee, K. W., and Kovacs, W. D. (1994). “Seasonal variation of resilient modulus of subgrade soils.” J. Transp. Eng., 603–616.
Johnson, T. C., Berg, R. L., Chamberlain, E. L., and Cole, D. M. (1986). “Frost action predictive techniques for roads and airfields. A comprehensive survey of research findings.” CRREL Rep. 86–18, U. S. Army Corps of Engineers, Cold Regions Research and Engineering Laboratory, Hanover, NH.
Khalili, N., Geiser, F., and Blight, G. E. (2004). “Effective stress in unsaturated soils: review with new evidence.” Int. J. Geomech., 115–126.
Khalili, N., and Khabbaz, M. H. (1998). “A unique relationship of χ for the determination of the shear strength of unsaturated soils.” Géotechnique, 48(5), 681–687.
Khosravi, A., and McCartney, J. S. (2012). “Impact of hydraulic hysteresis on the small-strain shear modulus of low plasticity soils.” J. Geotech. Geoenviron. Eng., 1326–1333.
Khoury, C. N., Khoury, N. N., and Miller, G. A. (2011). “Effect of cyclic suction history (hydraulic hysteresis) on resilient modulus of unsaturated fine-grained soil.” Transportation Research Record 2232, Transportation Research Board, Washington, DC, 68–75.
Khoury, N., Brooks, R., Khoury, C., and Yada, D. (2012). “Modeling resilient modulus hysteretic behavior with moisture variation.” Int. J. Geomech., 519–527.
Khoury, N. N., Brooks, R., and Khoury, C. N. (2009). “Environmental influences on the engineering behavior of unsaturated undisturbed subgrade soils: Effect of soil suctions on resilient modulus.” Int. J. Geotech. Eng., 3(2), 303–311.
Khoury, N. N., and Zaman, M. M. (2004). “Correlation between resilient modulus, moisture variation, and soil suction for subgrade soils.” Transportation Research Record 1874, Transportation Research Board, Washington, DC, 99–107.
LeKarp, F., Isacsson, U., and Dawson, A. (2000). “State of the art. I: Resilient response of unbound aggregates.” J. Transp. Eng., 66–75.
Liang, R. Y., Rabab’ah, S., and Khasawneh, M. (2008). “Predicting moisture-dependent resilient modulus of cohesive soils using soil suction concept.” J. Transp. Eng., 34–40.
Loach, S. C. (1987). “Repeated loading of fine grained soils for pavement design.” Ph.D. thesis, Univ. of Nottingham, Nottingham, U.K.
Lu, N., and Kaya, M. (2014). “Power law for elastic moduli of unsaturated soil.” J. Geotech. Geoenviron. Eng., 46–56.
Lytton, R. L. (1995). “Foundations and pavements on unsaturated soils.” Keynote Address, Proc. 1st Int. Conf. on Unsaturated Soils, Vol. 3, Balkema, Rotterdam, the Netherlands, 1201–1220.
Moossazadeh, J., and Witczak, M. W. (1981). “Prediction of subgrade moduli for soil that exhibits nonlinear behavior.” Transportation Research Record 810, Transportation Research Board, Washington, DC, 9–17.
Ng, C. W. W., and Pang, Y. W. (2000). “Influence of stress state on soil-water characteristics and slope stability.” J. Geotech. Geoenviron. Eng., 157–166.
Ng, C. W. W., and Yung, S. Y. (2008). “Determination of the anisotropic shear stiffness of an unsaturated decomposed soil.” Géotechnique, 58(1), 23–35.
Ng, C. W. W., and Zhou, C. (2014). “Cyclic behaviour of an unsaturated silt at various suctions and temperatures.” Géotechnique, 64(9), 709–720.
Ng, C. W. W., Zhou, C., Yuan, Q., and Xu, J. (2013). “Resilient modulus of unsaturated subgrade soil: Experimental and theoretical investigations.” Can. Geotech. J., 50(2), 223–232.
Nokkaew, K., Tinjum, J. M., Likos, W. J., and Edil, T. B. (2014). “Effect of matric suction on resilient modulus for compacted recycled base course in postcompaction state.” Transportation Research Record 2433, Transportation Research Board, Washington, DC, 68–78.
Nowamooz, H., Chazallon, C., Arsenie, M. I., Hornych, P., and Masrouri, F. (2011). “Unsaturated resilient behavior of a natural compacted sand.” Comp. Geotech., 38(4), 491–503.
Oh, J. H., Fernando, E. G., Holzschuher, C., and Horhota, D. (2012). “Comparison of resilient modulus values for Florida flexible mechanistic-empirical pavement design.” Int. J. Pavement Eng., 13(5), 472–484.
Oh, W. T., and Vanapalli, S. K. (2013). “Interpretation of the bearing capacity of unsaturated fine-grained soil using the modified effective and the modified total stress approaches.” Int. J. Geomech., 769–778.
Oloo, S. Y., and Fredlund, D. G. (1998). “The application of unsaturated soil mechanics theory to the design of pavements.” Proc. 5th Int. Conf. on the Bearing Capacity of Roads and Airfields, Tapir Academic Press, Trondheim, Norway, 1419–1428.
Parreira, A. B., and Gonçalves, R. F. (2000). “The influence of moisture content and soil suction on the resilient modulus of a lateritic subgrade soil.” GeoEng Int. Conf. on Geotechnical and Geological Engineering, Melbourne, Australia.
Power, K. C., and Vanapalli, S. K. (2010). “Modified null pressure plate apparatus for measurement of matric suction.” Geotech. Testing J., 33(4), 335–341.
Power, K. C., Vanapalli, S. K., and Garga, V. (2008). “A revised contact filter paper method.” Geotech. Testing J., 31(6), 461–469.
Puppala, A. J. (2008). Estimating stiffness of subgrade and unbound materials for pavement design. NCHRP Synthesis 382, Transportation Research Board, Washington, DC.
Sahin, H., Gu, F., Tong, Y., and Lytton, R. L. (2013). “Unsaturated soil mechanics in the design and performance of pavements.” Keynote Address, Proc. 1st Pan-Am. Conf. on Unsaturated Soils, CRC Press/Balkema, Rotterdam, the Netherlands.
Salour, F., and Erlingsson, S. (2015). “Resilient modulus modelling of unsaturated subgrade soils: laboratory investigation of silty sand subgrade.” Road Mater. Pavement Des., 16(3), 553–568.
Salour, F., Erlingsson, S., and Zapata, C. E. (2014). “Modelling resilient modulus seasonal variation of silty sand subgrade soils with matric suction control.” Can. Geotech. J., 51(12), 1413–1422.
Sauer, E. K., and Monismith, C. L. (1968). “Influence of soil suction on behavior of a glacial till subjected to repeated loading.” Hwy. Res. Rec. 215, Highway Research Board, Washington, DC, 8–23.
Sawangsuriya, A., Edil, T. B., and Benson, C. H. (2009a). “Effect of suction on resilient modulus of compacted fine-grained subgrade soils.” Transportation Research Record 2101, Transportation Research Board, Washington, DC, 82–87.
Sawangsuriya, A., Edil, T. B., and Bosscher, P. J. (2009b). “Modulus-suction-moisture relationship for compacted soils in postcompaction state.” J. Geotech. Geoenviron. Eng., 1390–1403.
Seed, H. B., Chan, C. K., and Lee, C. E. (1962). “Resilience characteristics of subgrade soils and their relation to fatigue failures in asphalt pavements.” Proc., Int. Conf. on the Structural Design of Asphalt Pavements, ASCE, Reston, VA, 611–636.
Shaqlaih, A., White, L., and Zaman, M. (2013). “Resilient modulus modeling with information theory approach.” Int. J. Geomech., 384–389.
Sivakumar, V., Kodikara, J., O'Hagan, R., Hughes, D., Cairns, P., and McKinley, J. D. (2013). “Effects of confining pressure and water content on performance of unsaturated compacted clay under repeated loading.” Géotechnique, 63(8), 628–640.
Stolle, D., Guo, P., and Liu, Y. (2009). “Resilient modulus properties of granular highway materials.” Can. J. Civil Eng., 36(4), 639–654.
Thom, R., Sivakumar, V., Brown, J., and Hughes, D. (2008). “A simple triaxial system for evaluating the performance of unsaturated soils under repeated loading.” Geotech. Testing J., 31(2), 1–8.
Tian, P., Zaman, M. M., and Laguros, J. G. (1998). “Gradation and moisture effects on resilient moduli of aggregate bases.” Transportation Research Record 1619, Transportation Research Board, Washington, DC, 75–84.
Uzan, J. (1985). “Characterization of granular material.” Transportation Research Record 1022, Transportation Research Board, Washington, DC, 52–59.
Vanapalli, S. K., Fredlund, D. G., and Pufahl, D. E. (1999). “The influence of soil structure and stress history on the soil-water characteristics of a compacted till.” Géotechnique, 49(2), 143–159.
Vanapalli, S. K., Fredlund, D. G., Pufahl, D. E., and Clifton, A. W. (1996). “Model for the prediction of shear strength with respect to soil suction.” Can. Geotech. J., 33(3), 379–392.
Witczak, M. W. (2003). “Harmonized test method for laboratory determination of resilient modulus for flexible pavement design.” Final Rep. NCHRP 1-28A, Transportation Research Board, National Research Council, Washington, DC.
Witczak, M. W., Pellinen, T., and El-Basyouny, M. (2002). “Pursuit of the simple performance test for asphalt concrete fracture/cracking.” Asphalt Paving Technol., 71, 767–778.
Wu, S., Gray, D. H., and Richart F. E., Jr. (1984). “Capillary effects on dynamic modulus of sands and silts.” J. Geotech. Eng., 1188–1203.
Yang, S. R., Huang, W. H., and Tai, Y. T. (2005). “Variation of resilient modulus with soil suction for compacted subgrade soils.” Transportation Research Record 1913, Transportation Research Board, Washington, DC, 99–106.
Yang, S. R., Kung, J. H. S., Huang, W. H., and Lin, H. D. (2006). “Resilient modulus of unsaturated cohesive subgrade soils.” Chin. J. Geotech. Eng., 28(2), 225–229 (in Chinese).
Yang, S. R., Lin, H. D., Kung, J. H., and Huang, W. H. (2008). “Suction-controlled laboratory test on resilient modulus of unsaturated compacted subgrade soils.” J. Geotech. Geoenviron. Eng., 1375–1384.
Zaman, M., Solanki, P., Ebrahimi, A., and White, L. (2010). “Neural network modeling of resilient modulus using routine subgrade soil properties.” Int. J. Geomech., 1–12.
Zapata, C. E., Andrei, D., Witczak, M. W., and Houston, W. N. (2007). “Incorporation of environmental effects in pavement design.” Road Mater. Pavement Des., 8(4), 667–693.
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International Journal of Geomechanics
Volume 16 • Issue 4 • August 2016
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© 2016 American Society of Civil Engineers.
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Received: Apr 18, 2014
Accepted: Oct 30, 2015
Published online: Jan 11, 2016
Discussion open until: Jun 11, 2016
Published in print: Aug 1, 2016
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