TECHNICAL PAPERS
Aug 1, 2005

Survival Analysis of Fatigue Cracking for Flexible Pavements Based on Long-Term Pavement Performance Data

Publication: Journal of Transportation Engineering
Volume 131, Issue 8

Abstract

The study presented in this paper analyzed the development patterns of fatigue cracking shown in flexible pavement test sections of the long-term pavement performance (LTPP) program. A large number of LTPP test sections exhibited a sudden burst of fatigue cracking after a few years of service. In order to characterize this type of LTPP cracking data, a survival analysis was conducted to investigate the relationship between fatigue failure time and various influencing factors. After dropping insignificant influencing factors, accelerated failure time models were developed to show the quantitative relationship between fatigue failure time and asphalt concrete layer thickness, Portland cement concrete base layer thickness, average traffic level, intensity of precipitation, and freeze-thaw cycles. The error distribution of the accelerated failure time model was found to be best represented by the generalized gamma distribution. The model can also be used to predict the average behavior of fatigue failures of flexible pavements.

Get full access to this article

View all available purchase options and get full access to this article.

References

American Association of State Highway and Transportation Officials (AASHTO). (1986), Guide for design of pavement structures, Washington, D.C.
ARA, Inc. ERES Consultants Division. (2004). “Guide for mechanistic-empirical design of new and rehabilitated pavement structures.” NCHRP Research 1-37A Rep., Transportation Research Board, National Research Council, Washington, D.C.
Asphalt Institute (2001). Superpave mix design, superpave series No. 2, 3rd Ed., Lexington, Ky., 26.
Birnbaum, Z. W., and Saunders, S. C. (1969). “A new family of life distributions.” J. Appl. Probab., 6, 319–327.
Cox, D. R. (1972). “Regression models and life-tables (with discussion).” J. R. Stat. Soc. Ser. B. Methodol., 34, 187–220.
Cox, D. R., and Snell, E. J. (1968). “A general definition of residuals with discussion.” J. R. Stat. Soc. Ser. A. Gen., 30, 248–275.
Epps, J., and Monismith, C. L. (1972). “Fatigue of asphalt concrete mixtures—A summary of existing information.” Fatigue of Compacted Bituminous Aggregate Mixtures, Rep. No. STP 508, American Society for Testing and Materials, Philadelphia.
Feigl, P., and Zelen, M. (1965). “Estimation of exponential survival probabilities with concomitant information.” Biometrics, 21(4), 826–828.
FHWA. (2004). “Welcome to LTPP.” ⟨http://www.tfhrc.gov/pavement/ltpp/ltpp.htm⟩, accessed July 3, 2004.
Fisher, R. A. (1925). “Theory of statistical estimation.” Proc. Cambridge Philos. Soc., 22, 700–725.
Fugro-BRE, Inc. (2001). “Key Findings from LTPP Distress Data,” LTPP Techbrief, Publication No. FHWA-RD-02-031, Federal Highway Administration, U. S. Department of Transportation, Washington, D.C.
Haas, R. (2001). “Reinventing the (pavement management) wheel.” Proc., Fifth Int. Conf. on Managing Pavements, distinguished lecture, Seattle.
Hall, K. T., Correa, C. E., and Simpson, A. L. (2002). “LTPP eata analysis: Effectiveness of maintenance and rehabilitation options.” NCHRP Web Document 47 (Project 20-50[3/4]): Contractor’s Final Rep., Transportation Research Board, Washington, D.C.
Hosmer, D. W., and Lemeshow, S. (1999), Applied survival analysis: Regression modeling of time to event data, Wiley, New York, 285.
Huang, Y. H. (1993). Pavement analysis and design, Prentice-Hall, Englewood Cliffs, N.J., 113.
Johnson, D. E. (1998). Applied multivariate methods for Data analysis, Duxbury, Pacific Grove, Calif.
Kaplan, E. L., and Meier, P. (1958). “Nonparametric estimation from incomplete observations.” J. Am. Stat. Assoc., 53, 457–481.
Kolmogorov, A. N. (1941). “On a logarithmic normal distribution law of the dimensions of particles under pulverization.” Dokl. Akad. Nauk SSSR, 31(2), 99–101.
Lawless, J. F. (2002). Statistical models and methods for lifetime data, Wiley, New York.
Miller, J. S., and Bellinger, W. Y. (2003). “The distress identification manual for the long-term pavement performance project.” (4th revised Ed.), Publication No. FHWA-RD-03-031, Federal Highway Administration, United States Department of Transportation, Washington, D.C.
Monismith, C. L., and Witczak, M. W. (1982). “Moderators’ report, session I: Pavement design.” Vol. 2, Proc., 5th Int. Conf. Structural Design of Asphalt Pavements, University of Michigan, Ann Arbor, Mich. 2–27.
NIST/SEMATECH. (2004). “Fatigue life (birnbaum saunders).” ⟨http://www.itl.nist.gov/div898/handbook/apr/section1/apr166.htm⟩, accessed July 3, 2004.
Paterson, W. D. O. (1987). Road deterioration and maintenance effects: Models for planning and management, John Hopkins University Press, Baltimore.
Prozzi, J. A., and Madanat, S. M. (2000). “Using duration models to analyze experimental pavement failure data.” Transportation Research Record 1699, Transportation Research Board, National Research Council, Washington, D.C., 87–94.
Queiroz, C. A. V., and Visser, A. T. (1978). “Uma investigação dos modulos de resiliência de revestimentos betuminosos Brasileiros [An investigation of resilient moduli of Brazilian bituminous surfacings].” Reunião, Associacão Brasileira de Pavimentação, Rio de Janeiro, Brazil.
SAS Institute Inc. (2004). “SAS onlinedoc (Version 8), the lifereg procedure.” ⟨http://v8doc.sas.com/sashtml⟩, accessed August 4, 2004.
Seeds, S. B., Hicks, R. G., Elkins, G. E., Zhou, H. P., and Scholz, T. V. (2002). “Significance of “as-constructed” HMA air voids to pavement performance from an analysis of LTPP data,” NCHRP Research Result Digest, No. 269, Transportation Research Board, National Research Council, Washington, D.C.
Shell International Petroleum Company. (1978). Shell pavement design manual-asphalt pavement and overlays for road traffic, London.
Tsai, B. W., Harvey, J. T., and Monismith, C. L. (2003). “The application of weibull theory in asphalt concrete fatigue performance prediction.” Transportation Research Board Annual Meeting Presentation, Washington, D.C.
Vuong, Q. H. (1989). “Likelihood ratio tests for model selection and non-nested hypotheses.” Econometrica, 57(2), 307–333.
Winfrey, R. (1969). Economic analysis for highways, International Textbook, Scranton, Pa.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 131Issue 8August 2005
Pages: 608 - 616

History

Received: Jan 5, 2004
Accepted: Oct 20, 2004
Published online: Aug 1, 2005
Published in print: Aug 2005

Permissions

Request permissions for this article.

Authors

Affiliations

Yuhong Wang
PhD, Dept. of Civil Engineering, Univ. of Kentucky, Lexington, KY 40506.
Kamyar C. Mahboub, M.ASCE
P.E.
Lawson Professor, Dept. of Civil Engineering, Univ. of Kentucky, Lexington, KY 40506.
Donn E. Hancher, F.ASCE
P.E.
Terrell-McDowell Chair Professor, Dept. of Civil Engineering, Univ. of Kentucky, Lexington, KY 40506.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share