Unified Elastoplastic–Viscoplastic Bounding Surface Model of Geosynthetics and Its Applications to Geosynthetic Reinforced Soil-Retaining Wall Analysis
Publication: Journal of Engineering Mechanics
Volume 133, Issue 7
Abstract
The static and dynamic behaviors of reinforced soil structures are possibly subjected to the effects of creep or stress relaxation due to the time-dependent behavior of geosynthetic inclusions and backfill. To simulate the time-dependent monotonic and cyclic behavior of geosynthetics, an isothermal constitutive model is formulated within the framework of elastoplasticity–viscoplasticity. The concept of bounding surface plasticity is first utilized to formulate a time-independent cyclic model of geosynthetics. In order to capture the hardening stiffness of some polyester geosynthetics, an exponential bounding curve is used in simulating the primary loading. The time-independent version of the model was extended into an elastoplastic–viscoplastic model using overstress viscoplasticity with reference to available experimental data. The model was evaluated using creep, stress relaxation, monotonic, and cyclic loading test results obtained for different geosynthetics. It was then incorporated into a finite-element code and the static and dynamic behavior of a geosynthetic reinforced soil wall was analyzed. The analyzed results, with and without consideration to the time-dependent behavior of the reinforcements, were compared. It was demonstrated that although the end-of-construction behavior of the reinforced soil wall was less influenced by the time-dependent properties of geogrids, the long-term performance was considerably affected. The seismic response was also affected to some extent by the rate-dependent behavior of geogrids. The effects were more significant for short and/or large vertical spacing reinforcement layout.
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Acknowledgments
This study was carried out with support from the National Science Foundation of China granted to the first writer (Grant No. 50408002). The support is gratefully acknowledged.
References
Allen, T., Vinson, T. S., and Bell, J. R. (1982). “Tensile strength and creep behavior of geotextiles in cold regions applications.” Proc., 2nd Int. Conf. on Geotextiles, Industrial Fabrics Association International, St. Paul, Minn., Vol. 2, 775–780.
Andrewes, K. Z., McGown, A., and Murray, R. T. (1986). “The load-strain-time-temperature behavior of geotextiles and geogrids.” Proc., 3rd Int. Conf. on Geotextiles, Industrail Fabrics Association International, St. Paul, Minn., Vol. 3, 707–712.
Ashwamy, A. K., and Bourdeau, P. L. (1996). “Response of a woven and a non-woven geotextile to monotonic and cyclic simple tension.” Geosynthet. Int., 3(4), 493–515.
Bathurst, R. J., and Cai, Z. (1994). “In-isolation cyclic load-extension behavior of two geogrids.” Geosynthet. Int., 1(1), 1–19.
Cai, Z., and Bathurst, R. J. (1995). “Seismic response analysis of geosynthetic-reinforced soil segmental walls by finite element method.” Comput. Geotech., 17(4), 523–546.
Chan, A. H. C. (1993). User manual for DYNA Swandye-II, Dept. of Civil Engineering, Glasgow Univ., Glasgow, U.K.
Dafalias, Y. F., and Popov, E. P. (1975). “A model of nonlinearly hardening materials for complex loading.” Acta Mech., 21(3), 173–192.
Dafalias, Y. F., and Popov, E. P. (1976). “Plastic internal variables formalism of cyclic plasticity.” J. Appl. Mech., 98(4), 645–651.
Dafalias, Y. F., and Popov, E. P. (1977). “Cyclic loading for materials with a vanishing elastic region.” Nucl. Eng. Des., 41(2), 293–302.
Findley, W. N. (1987). “Twenty-six-year creep and recovery of poly (vinyl chloride) and polyethylene.” Polym. Eng. Sci., 27(8), 582–585.
Finnigan, J. A. (1977). “The creep behavior of high tenacity yarns and fabrics used in civil engineering applications.” Proc., Int. Conf. on Use of Fabrics in Geotechnics, Industrail Fabrics Association International, St. Paul, Minn., Vol. 2, 305–309.
Gilat, A. (1984). “Modeling plastic deformation of mild steel under non-proportional deformation path.” J. Eng. Mater. Technol., 108(3), 258–261.
Greenwood, J. H. (1990). “The creep of geotextiles.” Proc., 4th Int. Conf. on Geotextiles, Geomembranes, and Related Products, Balkema, Rotterdam, The Netherlands, Vol. 2, 645–650.
Helwany, B., and Wu, J. T. H. (1992). “A generalized creep model for geosynthetics.” Earth reinforcement practice, Balkema, Rotterdam, The Netherlands, 79–84.
Holtz, R. D., Tobin, W. R., and Burke, W. W. (1982). “Characteristics and stress-strain behavior of a geotextile-reinforced sand.” Proc., 2nd Int. Conf. on Geotextiles, Industrial Fabrics Association International, St. Paul, Minn., Vol. 3, 805–810.
Kaliakin, V. N., and Dafalias, Y. F. (1990a). “Theoretical aspects of the elastoplastic-viscoplastic bounding surface model for cohesive soils.” Soils Found., 30(3), 11–24.
Kaliakin, V. N., and Dafalias, Y. F. (1990b). “Verification of the elastoplastic-viscoplastic bounding surface model for cohesive soils.” Soils Found., 30(3), 25–36.
Kaliakin, V. N., and Dechasakulsom, M. (2002). “Development of a general time-dependent model for geogrids.” Geosynthet. Int., 9(4), 319–344.
Koerner, R. M. (1997). Design with geosynthetics, 4th Ed., Prentice-Hall, Upper Saddle River, N.J.
Krieg, R. D. (1975). “A practical two surface plasticity theory.” J. Appl. Mech., 47(3), 641–646.
Kongkitkul, W., Hirakawa, D., Tatsuoka, F., and Uchimural, T. (2004). “Viscous deformation of geogrid reinforcement under cyclic loading conditions and its model simulation.” Geosynthet. Int., 11(2), 73–99.
Leshchinsky, D., Dechasakulsom, M., Kaliakin, V. N., and Ling, H. I. (1997). “Creep and stress relaxation of geogrids.” Geosynthet. Int., 4(5), 463–479.
Ling, H. I., and Liu, H. (2003). “Pressure-level dependency and densification behavior of sand through generalized plasticity model.” J. Eng. Mech., 129(8), 851–860.
Ling, H. I., Liu, H., Kaliakin, V. N., and Leshchinsky, D. (2004). “Analyzing dynamic behavior of geosynthetic-reinforced soil retaining walls.” J. Eng. Mech., 130(8), 911–920.
Ling, H. I., Liu, H., and Mohri, Y. (2005a). “Parametric studies on the behavior of reinforced soil retaining walls under earthquake loading.” J. Eng. Mech., 131(10), 1056–1065.
Ling, H. I., Liu, H., Mohri, Y., and Kawabata, T. (2001). “Bounding surface model for geosynthetic reinforcements.” J. Eng. Mech., 127(9), 963–967.
Ling, H. I., Mohri, Y., and Kawabata, T. (1998). “Tensile properties of geogrids under cyclic loadings.” J. Geotech. Geoenviron. Eng., 124(8), 782–787.
Ling, H. I., Mohri, Y., Leshchinsky, D., Burke, C., Matsushima, K., and Liu, H. (2005b). “Large-scale shaking table tests on modular-block reinforced soil retaining walls.” J. Geotech. Geoenviron. Eng., 131(4), 465–476.
Ling, H. I., Tatsuoka, F., and Tateyama, M. (1995). “Simulating performance of GRS-RW by finite-element procedure.” J. Geotech. Engrg., 121(4), 330–340.
Liu, H. (2002). “Finite element simulation of the response of geosynthetic-reinforced soil retaining walls.” Ph.D. thesis, Dept. of Civil Engineering and Engineering Mechanics, Columbia Univ., New York.
Liu, H., and Ling, H. I. (2006). “Modeling cyclic behavior of geosynthetics using mathematical functions combined with Masing rule and bounding surface plasticity.” Geosynthet. Int., 13(6), 234–245.
Lubliner, J. (1972). “On the thermodynamic foundations of nonlinear solid mechanics.” Int. J. Non-Linear Mech., 7(3), 237–254.
Matichard, Y., Leclerq, B., and Seqouin, M. (1990). “Creep of geotextiles: Soil reinforcement applications.” Proc., 4th Int. Conf. on Geotextiles, Geomembranes, and Related Products, Balkema, Rotterdam, The Netherlands, Vol. 2, 661–665.
Merry, S. M., and Bray, J. D. (1997). “Time-dependent mechanical response of HDPE geomembranes.” J. Geotech. Geoenviron. Eng., 123(1), 57–65.
Moraci, N., and Montanelli, F. (1996). “Short and long term behavior of geogrids under static and cyclic load.” Earth reinforcement, Balkema, Rotterdam, The Netherlands, 117–122.
Pastor, M., Zienkiwicz, O. C., and Chan, A. H. C. (1990). “Generalized plasticity and the modeling of soil behavior.” Int. J. Numer. Analyt. Meth. Geomech., 14(3), 151–190.
Perkins, S. W. (2000). “Constitutive modeling of geosynthetics.” Geotext. Geomembr., 18(5), 273–292.
Perzyna, P. (1966). “Fundamental problems in viscoplasticity.” Adv. Appl. Mech., 9(3), 243–277.
Petersson, H., and Popov, E. P. (1977). “Constitutive relations for generalized loadings.” J. Engrg. Mech. Div., 103(4), 611–627.
Shen, C., Mamaghani, I. H. P., Mizuno, E., and Usami, T. (1995). “Cyclic behavior of structural steels. II: Theory.” J. Eng. Mech., 121(11), 1165–1172.
Shrestha, S. C., and Bell, J. R. (1982). “Creep behavior of geotextiles under sustained loads.” Proc., 2nd Int. Conf. on Geotextiles, Industrial Fabrics Association International, St. Paul, Minn., Vol. 3, 769–774.
Soong, T. Y., and Koerner, R. M. (1998). “Modeling and extrapolation of creep behavior of geosynthetics.” Proc., 6th Int. Conf. on Geotextiles, Industrial Fabrics Association International, St. Paul, Minn., Vol. 2, 769–774.
Tanimoto, N., Fukuoka, H., and Fujita, K. (1993). “One-dimensional numerical analysis of a bar subjected to longitudinal impulsive loading using an elastoplastic-viscoplastic constitutive equation.” JSME Int. J., Ser. A, 36(2), 137–145.
Wu, J. T. H., and Helwany, S. M. N. (1996). “A performance test for assessment of long-term creep behavior of soil geosynthetic composites.” Geosynthet. Int., 3(1), 107–124.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 133 • Issue 7 • July 2007
Pages: 801 - 815
Copyright
© 2007 ASCE.
History
Received: Jun 14, 2005
Accepted: Nov 3, 2006
Published online: Jul 1, 2007
Published in print: Jul 2007
Notes
Note. Associate Editor: Majid T. Manzari
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