Unified DSC Constitutive Model for Pavement Materials with Numerical Implementation
Publication: International Journal of Geomechanics
Volume 7, Issue 2
Abstract
Need for unified and mechanistic constitutive models for pavement materials for evaluation of various distresses has been recognized; however, such models are not yet available. There have been efforts to develop unified models; however, they have been based usually on ad hoc combinations of models for special properties such as elastic, plastic, creep and fracture, often without appropriate connections to various coupled responses of bound and unbound materials, they may result and in a large number of parameters, often without physical meanings. The disturbed state concept (DSC) provides a modeling approach that includes various responses such as elastic, plastic, creep, microcracking and fracture, softening and healing under mechanical and environmental (thermal, moisture, etc.) within a single unified and coupled framework. A brief review is presented to identify the advantages of the DSC compared to other available models. The DSC has been validated and applied to a wide range of materials: geologic, asphalt, concrete, ceramic, metal alloys, and silicon. It allows for evaluation of various distresses such as permanent deformations (rutting), microcracking and fracture, reflection cracking, thermal cracking, and healing. The DSC is implemented in two- and three-dimensional finite-element (FE) procedures, which allow static, repetitive, and dynamic loads including elastic, plastic, creep, microcracking leading to fracture and failure. A number of examples are solved for various distresses considering flexible (asphalt) pavements; however, the DSC model is applicable to rigid (concrete) pavements also. It is felt that the DSC and the FE computer programs provide unique and novel approaches for pavement engineering. It is desirable to perform further research and applications including validation with respect to simulated and field behavior of pavements.
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Acknowledgments
The development of the constitutive models and applications has been supported by grants from various government and private agencies such as NSF and DOT. The computer results reported herein were obtained with assistance from Dr. R. Whitenack, Ms. A. Bozorgzadeh, Mr. D. Cohen, and Mr. B. Simon; their help is gratefully acknowledged. The assistance of Dr. H. B. Li for the 2D and 3D analyses and of Mr. S. Sane for Fig. 9 is acknowledged.
References
AASHTO. (1986). Guide for design of pavement structures, Washington, D.C.
AASHTO. (1993). Guide for design of pavement structures, Washington, D.C.
Barksdale, R. D., Rix, G. J., Itani, S., Khosla, P. N., Kim, R., Lamb, P. C., and Rahman, M. S. (1990). “Laboratory determination of resilient modulus for flexible pavement design.” NCHRP Rep. No. 1-28, Georgia Institute of Technology, Atlanta.
Bazant, Z. P. (1994). “Nonlocal damage theory based on micromechanics of crack interactions.” J. Eng. Mech., 120(3), 593–617.
Bazant, Z. P., and Cedolin, L. (1991). Stability of structures, Oxford University Press, New York.
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, Seattle, 783–802.
Bonaquist, R. J. (1996). “Development and application of a comprehensive constitutive model for granular materials in flexible pavement structures.” Doctoral dissertation, Univ. of Maryland, College Park, Md.
Desai, C. S. (1998a). “Application of unified constitutive model for pavement materials based on hierarchical disturbed state concept.” Rep., Submitted to SUPERPAVE, Univ. of Maryland, College Park, Md.
Desai, C. S. (1998b). DSC-SST2D code for two-dimensional static, repetitive and dynamic analysis: User’s manual I to III, Tucson, Ariz.
Desai, C. S. (2000a). DSC-SST3D code for three-dimensional coupled static, repetitive, and dynamic analysis: User’s manual I to III, Tucson, Ariz.
Desai, C. S. (2000b). “Evaluation of liquefaction using disturbed state and energy approaches.” J. Geotech. Geoenviron. Eng., 126(7), 618–631.
Desai, C. S. (2000c). “Finite element code (DSC-2D) for 2002 design guide.” Rep., Submitted to AASHTO 2002 Design Guide, Arizona State Univ., Tempe, Ariz.
Desai, C. S. (2001). Mechanics of materials and interfaces: The disturbed state concept, CRC, Boca Raton, Fla.
Desai, C. S. (2002). “Mechanistic pavement analysis and design using unified material and computer model.” Keynote Paper, Proc., 3rd Int. Symp. on 3-D Finite Element for Pavement Analysis, Design, and Research, Amsterdam, The Netherlands.
Desai, C. S., Chia, J., Kundu, T., and Prince, J. (1997). “Thermomechanical response of materials and interfaces in electronic packaging: Parts I and II.” J. Electron. Packag., 119(4), 294–300, 301–309.
Desai, C. S., and Cohen, D. (2000). “Determination of DSC parameters for asphalt concrete.” Rep., Tucson, Ariz.
Desai, C. S., Dishongh, T., and Deneke, P. (1998). “Disturbed state constitutive model for thermomechanical behavior of dislocated silicon with impurities.” J. Appl. Phys., 84(11), 5977–5984.
Desai, C. S., and Ma, Y. (1992). “Modelling of joints and interfaces using the disturbed state concept.” Int. J. Numer. Analyt. Meth. Geomech., 16, 623–653.
Desai, C. S., Rigby, D. B., and Samavedam, G. (1993). “Unified constitutive model for materials and interfaces in airport pavements.” Proc., ASCE Specialty Conf. on Airport Pavement Innovations—Theory to Practice, Vicksburg, Miss.
Desai, C. S., Samtani, N. C., and Vulliet, L. (1995). “Constitutive modeling and analysis of creeping slopes.” J. Geotech. Engrg., 121(1), 43–56.
Desai, C. S., Sharma, K. G., Wathugala, G. W., and Rigby, D. B. (1991). “Implementation of hierarchical single surface and models in finite element procedure.” Int. J. Numer. Analyt. Meth. Geomech., 15, 649–680.
Desai, C. S., and Siriwardane, H. J. (1982). “Numerical models for track support structures.” J. Geotech. Engrg. Div., 108(3), 461–480.
Desai, C. S., and Siriwardane, H. J. (1984). Constitutive laws for engineering materials, Prentice-Hall, Englewood Cliffs, N.J.
Desai, C. S., Siriwardane, H. J., and Janardhanam, R. (1983). “Interaction and load transfer through track support systems, Parts 1 and 2.” Final Rep., DOT/RSPA/DMA-50/83/12, Office of University Research, Dept. of Transportation, Washington, D.C.
Desai, C. S., Somasundaram, S., and Frantziskonis, G. (1986). “A hierarchical approach for constitutive modeling of geologic materials.” Int. J. Numer. Analyt. Meth. Geomech., 10(3), 225–257.
Desai, C. S., and Whitenack, R. (2001). “Review of models and the disturbed state concept for thermomechanical analysis in electronic packaging.” J. Electron. Packag., 123, 1–15.
Desai, C. S., Zaman, M. M., Lightner, J. G., and Siriwardane, H. J. (1984). “Thin-layer element for interfaces and joints.” Int. J. Numer. Analyt. Meth. Geomech., 8(1), 19–43.
Federal Highway Administration (FHwA). (1987). “Crack and seat performance.” Review Rep., Demonstration Projects and Pavement Divisions, Washington, D.C.
Huang, Y. H. (1993). Pavement analysis and design, Prentice-Hall, Englewood Cliffs, N.J.
Kachanov, L. M. (1986). Introduction to continuum damage mechanics, Martinus Nijhoft, Dordrecht, The Netherlands.
Kilareski, W. P., and Bionda, R. A. (1990). “Structural overlays strategies for jointed concrete pavements, Vol. 1. Sawing and sealing of joints in A-C overlay of concrete pavements.” Rep. No. FHWA-RD-89-142, Federal Highway Administration, Washington, D.C.
Kim, Y. R., Lee, H. J., Kim, Y., and Little, D. N. (1997). “Mechanistic evaluation of fatigue damage growth and healing of asphalt concrete—Laboratory and field experiments.” Proc., 8th Int. Conf. on Asphalt Pavements, Univ. of Washington, Seattle, 1089–1107.
Li, H. B. (2003). “FEM analysis with DSC modeling for materials in chip-substrate systems.” Ph.D. dissertation, Dept. of Civil Engineering and Engineering Mechanics, Univ. of Arizona, Tucson, Ariz.
Lytton, R. L., et al. (1993). “Asphalt concrete pavement distress prediction: Laboratory testing, analysis, calibration and validation.” Rep. No. A357, Project No. SHRP RF. 7157-2, Texas A&M Univ., College Station, Tex.
Masad, E. (2004). “X-ray computed tomography of aggregates and asphalt mixes.” Mater. Eval., 62(7), 775–783.
Molenaar, A. A. A. (1983). “Structural performance and design of flexible road constructions and asphalt concrete overlays.” Ph.D. dissertation, Delft Univ. of Technology, Delft, The Netherlands.
Monismith, C. L., and Secor, K. E. (1962). “Viscoelastic behavior of asphalt concrete pavements.” Proc., Conf. Association of Asphalt Pavings and Technologists.
Pande, G. N., Owen, D. R. J., and Zienkiewicz, O. C. (1977). “Overlay models in time dependent nonlinear material analysis.” Comput. Struct., 7, 435–443.
Park, I. J., and Desai, C. S. (2000). “Cyclic behavior and liquefaction of sand using disturbed state concept.” J. Geotech. Geoenviron. Eng., 126(9), 834–846.
Perzyna, P. (1966). “Fundamental problems in viscoplasticity.” Adv. Appl. Mech., 9, 243–277.
Pradhan, S. K., and Desai, C. S. (2006). “DSC model for soil and interface including liquefaction and prediction of centrifuge test.” J. Geotech. Geoenviron. Eng., 132(2), 214–222.
Scarpas, A., Al-Khoury, R., Van Gurp, C. A. P. M., and Erkens, S. M. J. G. (1997). “Finite element simulation of damage development in asphalt concrete pavements.” Proc., 8th Int. Conf. on Asphalt Pavements, Univ. of Washington, Seattle, 673–692.
Schapery, R. A. (1965). “A method of viscoelastic stress analysis using elastic solutions.” J. Franklin Inst., 279(4), 268–289.
Schapery, R. A. (1990). “A theory of mechanical behavior of elastic media with growing damages and other changes in structure.” J. Mech. Phys. Solids, 28, 215–253.
Schapery, R. A. (1999). “Nonlinear viscoelastic and viscoplastic constitutive equations with growing damage.” Int. J. Fract., 97, 33–66.
Schofield, A. N., and Wroth, C. P. (1968). Critical state soil mechanics, McGraw-Hill, London.
Secor, K. E., and Monismith, C. L. (1962). “Viscoelastic properties of asphalt concrete.” Proc., 41st Annual Meeting, Highway Research Board, Washington, D.C.
Shao, C., and Desai, C. S. (2000). “Implementation of DSC models and application for analysis of field pile tests under cyclic loading.” Int. J. Numer. Analyt. Meth. Geomech., 24(6), 601–624.
Simon, B. (2001). “Analysis of distresses in flexible pavements using the disturbed state concept.” MS thesis, Dept. of Civil Engineering and Engineering Mechanics, The Univ. of Arizona, Tucson, Ariz.
Uzan, J. (1985). “Characterization of granular materials.” NRC TRB 1022, Transportation Research Board, Washington, D.C., 52–59.
Vermeer, P. A. (1982). “A five-constant model unifying well-established concepts.” Proc., Int. Workshop on Constitutive Relations for Soils, Grenoble, France, 175–197.
William, G. W., and Shoukry, S. N. (2001). “3D finite element analysis of temperature-induced stresses in dowel jointed concrete pavements.” Int. J. Geomech., 1(3), 291–308.
Witczak, M. W., and Uzan, J. (1988). “The universal airport pavement design system.” Granulat Material Characterization Reps. I to IV, Univ. of Maryland, College Park, Md.
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Published In
International Journal of Geomechanics
Volume 7 • Issue 2 • March 2007
Pages: 83 - 101
Copyright
© 2007 ASCE.
History
Received: Jun 6, 2006
Accepted: Jun 9, 2006
Published online: Mar 1, 2007
Published in print: Mar 2007
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