Application of the Viscoelastic Continuum Damage Model to the Indirect Tension Test at a Single Temperature
Publication: Journal of Engineering Mechanics
Volume 136, Issue 4
Abstract
The viscoelastic continuum damage model, developed based on Schapery’s correspondence principle and the continuum damage mechanics, has received a great deal of attention because of its mathematical soundness and effectiveness in describing damage growth in viscoelastic media and has been used to make reliable estimations on the fatigue lives of asphalt mixtures. Its applications to field mixtures, however, have been limited because the model requires performing the uniaxial tension test. As an alternative, this study developed an analytical methodology for applying the model to the indirect tension test, which has been successfully used in testing both laboratory-made and field-cored mixtures. From the results of the indirect tension tests conducted on asphalt mixture at three different crosshead-controlled rates, it was found that the stress-pseudostrain curves could be superimposed onto one equality line in the linear viscoelastic range of the given mixture, and its rate dependency was successfully eliminated in the and plots. This indicates that the methodology developed for the indirect tension test has a capability of evaluating damage development in asphalt mixtures through the viscoelastic continuum damage model. It would be potentially of great benefit to pavement engineers who want to estimate the remaining lives of field mixtures.
Get full access to this article
View all available purchase options and get full access to this article.
References
Chehab, G. R., Kim, Y. R., Schapery, R. A., Witczak, M. W., and Bonaquist, R. (2003). “Characterization of asphalt concrete in uniaxial tension using a viscoelastoplastic continuum damage model.” Asph. Paving Technol., 72, 315–355.
Christensen, D. W., and Anderson, D. A. (1992). “Interpretation of dynamic mechanical test data for paving grade asphalt cements.” Asph. Paving Technol., 61, 67–116.
Daniel, J. S., and Kim, Y. R. (2002). “Development of a simplified fatigue test and analysis procedure using a viscoelastic, continuum damage model.” Asph. Paving Technol., 71, 615–650.
Findley, W. N., Lai, J. S., and Onaran, K. (1976). Creep and relaxation of nonlinear viscoelastic materials, Dover, New York.
Hondros, G. (1959). “The evaluation of Poisson’s ratio and the modulus of materials of a low tensile resistance by the Brazilian (indirect tensile) test with particular reference to concrete.” Australian J. Applied Science, 10(3), 243–268.
Kim, J., Sholar, G., and Kim, S. (2008). “Determination of accurate creep compliance and relaxation modulus at a single temperature for viscoelastic solids.” J. Mater. Civ. Eng., 20(2), 147–156.
Kim, Y. R., Daniel, J. S., and Wen, H. (2002). “Fatigue performance evaluation of westtrack asphalt mixtures using viscoelastic continuum damage approach.” Rep. No. FHWA/NC/2002-004, North Carolina State Univ., Raleigh, N.C.
Kim, Y. R., Lee, H. -J., and Little, D. N. (1997). “Fatigue characterization of asphalt concrete using viscoelasticity and continuum damage theory.” Asph. Paving Technol., 66, 520–569.
Kim, Y. R., Seo, Y., King, M., and Momen, M. (2004). “Dynamic modulus testing of asphalt concrete in indirect tension mode.” Transp. Res. Rec., 1891, 163–173.
Kutay, M. E., Gibson, N., and Youtcheff, J. (2008). “Conventional and viscoelastic continuum damage (VECD)-based fatigue analysis of polymer modified asphalt pavements.” Electron. J. Assoc. Asph. Paving Technol., 77, 395–434.
Lee, H. J. (1996). “Uniaxial constitutive modeling of asphalt concrete using viscoelasticity and continuum damage theory.” Ph.D. dissertation, North Carolina State Univ., Raleigh, N.C.
Lee, H. J., Daniel, J. S., and Kim, Y. R. (2000). “Continuum damage mechanics-based fatigue model of asphalt concrete.” J. Mater. Civ. Eng., 12(2), 105–112.
Lee, H. J., and Kim, Y. R. (1998). “Viscoelastic continuum damage model of asphalt concrete with healing.” J. Eng. Mech., 124(11), 1224–1232.
Lemaitre, J., and Desmorat, R. (2005). Engineering damage mechanics: Ductile, creep, fatigue and brittle failures, Springer, New York.
Park, S. W., and Kim, Y. R. (2001). “Fitting prony-series viscoelastic models with power-law presmoothing.” J. Mater. Civ. Eng., 13(1), 26–32.
Park, S. W., Kim, Y. R., and Schapery, R. A. (1996). “A viscoelastic continuum damage model and its application to uniaxial behavior of asphalt concrete.” Mech. Mater., 24, 241–255.
Roque, R., Buttlar, W. G., Ruth, B. E., Tia, M., Dickison, S. W., and Reid, B. (1997). “Evaluation of SHRP indirect tension tester to mitigate cracking in asphalt concrete pavements and overlays.” Final Rep. FDOT B-9885, Univ. of Florida, Gainesville, Fla.
Schapery, R. A. (1975a). “A theory of crack initiation and growth in viscoelastic media. Part I: Theoretical development.” Int. J. Fract., 11, 141–159.
Schapery, R. A. (1975b). “A theory of crack initiation and growth in viscoelastic media. Part II: Approximate methods of analysis.” Int. J. Fract., 11, 369–388.
Schapery, R. A. (1975c). “A theory of crack initiation and growth in viscoelastic media. Part III: Analysis of continuous growth.” Int. J. Fract., 11, 549–562.
Schapery, R. A. (1982). “Models for damage growth and fracture in nonlinear viscoelastic particulate composites.” Proc., 9th U.S. National Congress of Applied Mechanics, ASME, New York, 237–245.
Schapery, R. A. (1984). “Correspondence principles and a generalized integral for large deformation and fracture analysis of viscoelastic media.” Int. J. Fract., 25, 195–223.
Schapery, R. A. (1990). “A theory of mechanical behavior of elastic media with growing damage and other changes in structure.” J. Mech. Phys. Solids, 38(2), 215–253.
Tschoegl, N. W. (1989). The phenomenological theory of linear viscoelastic behavior: An introduction, Springer, New York.
Tschoegl, N. W., Knauss, W. G., and Emri, I. (2002). “Poisson’s ratio in viscoelasticity: A critical review.” Mech. Time-Depend. Mater., 6, 3–51.
Underwood, B. S., Kim, Y. R., and Guddati, M. N. (2006). “Characterization and performance prediction of all mixtures using a viscoelastoplastic continuum damage model.” Electron. J. Assoc. Asph. Paving Technol., 75, 577–636.
Wineman, A. S., and Rajagopal, K. R. (2000). Mechanical response of polymers: An introduction, Cambridge University Press, New York.
Zhang, W., Drescher, A., and Newcomb, D. E. (1997a). “Viscoelastic analysis of diametral compression of asphalt concrete.” J. Eng. Mech., 123(6), 596–603.
Zhang, W., Drescher, A., and Newcomb, D. E. (1997b). “Viscoelastic behavior of asphalt concrete in diametral compression.” J. Transp. Eng., 123(6), 495–502.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 4 • April 2010
Pages: 496 - 505
Copyright
© 2010 ASCE.
History
Received: Feb 2, 2009
Accepted: Sep 28, 2009
Published online: Mar 15, 2010
Published in print: Apr 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.