Skip to main content
Intended for healthcare professionals
Restricted access
Research article
First published online January 1, 2008

Rut Accumulation and Power Law Models for Low-Volume Pavements under Mixed Traffic

Abstract

The fourth-power law has been used for more than 40 years to assist the modeling of the damage that accumulates in pavements due to different traffic load levels and differing numbers of load applications. This paper studies the applicability and the limits of applicability of this law to typical low-volume road pavements with no or only thin seals that obtain their structural performance primarily from the aggregate base (or equivalent) layer and for which pavements’ deterioration is overwhelmingly due to rutting. After behavior of unbound granular pavement materials has been reviewed, data from four sources is used to show that it is sometimes impossible to model real pavement response by any power relationship. Furthermore, power values, even when usable, are highly variable and can vary widely with construction material and with distress criteria. It is shown that, even when a power law is a reasonable way of interpreting data, a value for the law of 4 is not. Some suggestions are given for alternative approaches and adaptations.

Get full access to this article

View all access and purchase options for this article.

References

1. Special Report 61: The AASHO Road Test, Parts A–G. HRB, National Research Council, Washington, D.C., 1961–1962.
2. Hveem F. N., and Carmany R. M. The Factors Underlying the Rational Design of Pavements. Highway Research Board Proceedings, Vol. 28, 1948, pp. 101–136.
3. Special Report 73: The AASHO Road Test, Report 5. Publication No. 1012. HRB, National Research Council, Washington, D.C., 1962, 117 pp.
4. Traffic Assessment, Design Note HD 24/06. Design Manual for Roads and Bridges, Vol. 7, Section 2, Part 1. Highways Agency, London, 2006.
5. Atkinson V. M., Merrill D., and Thom N. Pavement Wear Factors. Report PPR 066. Transport Research Laboratory, Crowthorne, United Kingdom, 2006.
6. Palmgren A. Die Lebensdauer von Kugellagern. Zeitschrift des Vereins Deutscher Ingenieure, Vol. 68, 1924, pp. 339–341.
7. Miner M. A. Cumulative Damage in Fatigue. Journal of Applied Mathematics, Vol. 12, 1945, pp. 159–164.
8. Gerhards C. C. Time-Related Effects on Wood Strength: A Linear-Cumulative Damage Theory. Wood Science, Vol. 11, No. 3, 1979, pp. 139–144.
9. Brandt C. W. Load–Duration Behavior of Extruded Wood–Plastic Composites. MS thesis. Washington State University, Pullman, 2001.
10. Packard R. G., and Tayabji S. D. New PCA Thickness Design Procedure for Concrete Highway and Street Pavements. Proc., 3rd International Conference on Concrete Pavement Design, Purdue University, West Lafayette, Ind., 1985, pp. 225–236.
11. Werkmeister S., Numrich R., Dawson A. R., and Wellner F. Design of Granular Pavement Layers Considering Climatic Conditions. In Transportation Research Record: Journal of the Transportation Research Board, No. 1837, Transportation Research Board of the National Academies, Washington, D.C., 2003, pp. 61–70.
12. Werkmeister S., Dawson A. R., and Wellner F. Permanent Deformation Behavior of Granular Materials and the Shakedown Concept. In Transportation Research Record: Journal of the Transportation Research Board, No. 1757, TRB, National Research Council, Washington, D.C., 2001, pp. 75–81.
13. Ullidtz P. Pavement Analysis. Elsevier, Amsterdam, Netherlands, 1987, 318 pp.
14. Pinard M. I., Ellis S. D., Eriksson C.-H., Johansen R., Toole T., Beger R., Gumbie M. E., Lotter H. J. S., and Quimby A. R. Guideline—Low-Volume Sealed Roads. Southern African Development Community, Gabarone, Botswana, 2003.
15. Little P. H. The Design of Unsurfaced Roads Using Geosynthetics. Ph.D. thesis. University of Nottingham, United Kingdom, 1993. www.nottingham.ac.uk/~evzncpe/Theses/LittlePhDthesis.pdf.
16. Youdal G. P. Review of Limiting Subgrade Strain Criterion. Submission to Working Group on Revision of NAASRA Interim Guide to Pavement Thickness Design, National Association of Australian State Road Authorities, Sydney, 1984.
17. Jameson G. W. Origins of Austroads Design Procedures for Granular Pavements. Report ARR 292. ARRB Transport Research, Ltd., Vermont South, Australia, Sept. 1996.
18. Dorman G. M., and Metcalf C. T. Design Curves for Flexible Pavements Based on Layered System Theory. In Highway Research Record 71, HRB, National Research Council, Washington, D.C., 1965, pp. 69–84.
19. Pavement Design: A Guide to the Structural Design of Road Pavements. Publication AP-22/92. Austroads, Sydney, Australia, 1992.
20. Alabaster D., de Pont J., and Steven B. The Fourth Power Law and Thin Surfaced Flexible Pavements. Proc., 9th International Conference on Asphalt Pavements, II, Danish Road Directorate, Copenhagen, 2002.
21. Yeo R. Load Damage Exponents for Thin Surfaced Granular Pavements. Proc., 3rd Accelerated Pavement Testing Conference, Minneapolis, Minn., 2004, 22 pp. www.mrr.dot.state.mn.us/research/MnROAD_Project/index_files/pdfs/Yeo_R.pdf.
22. van Zyl N. J. W., and Freeme C. R. Determination of Relative Damage Done by Roads by Heavy Vehicles. Proc., Annual Transportation Convention, Pretoria, South Africa, 1984.
23. Korkiala-Tanttu L., Laaksonen R., and Törnqvist J. Effect of the Spring and Overload on the Rutting of a Low-Volume Road. HVS-Nordic Research, Finnra Report 22/2003, Finnish Road Administration, Helsinki, 2003.
24. Chen D., Zhou F., and Cortez E. R. Determination of Load Damage Relationships Through Accelerated Pavement Testing. Journal of Testing and Evaluation, Vol. 34, No. 4, July 2006, pp. 312–318.
25. Arnold G., Steven B., Alabaster D., and Fussell A. Effect on Pavement Wear of Increased Mass Limits for Heavy Vehicles—Stage 4. Research Report 280. Land Transport New Zealand, Wellington, 2005. www.ltsa.govt.nz/research/reports/280.pdf.

Cite article

Cite article

Cite article

OR

Download to reference manager

If you have citation software installed, you can download article citation data to the citation manager of your choice

Share options

Share

Share this article

Share with email
EMAIL ARTICLE LINK
Share on social media

Share access to this article

Sharing links are not relevant where the article is open access and not available if you do not have a subscription.

For more information view the Sage Journals article sharing page.

Information, rights and permissions

Information

Published In

Article first published online: January 1, 2008
Issue published: January 2008

Rights and permissions

© 2008 National Academy of Sciences.
Request permissions for this article.

Authors

Affiliations

Andrew R. Dawson
Nottingham Transportation Engineering Center, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom.

Notes

Metrics and citations

Metrics

Journals metrics

This article was published in Transportation Research Record: Journal of the Transportation Research Board.

VIEW ALL JOURNAL METRICS

Article usage*

Total views and downloads: 44

*Article usage tracking started in December 2016


Altmetric

See the impact this article is making through the number of times it’s been read, and the Altmetric Score.
Learn more about the Altmetric Scores



Articles citing this one

Receive email alerts when this article is cited

Web of Science: 0

Crossref: 15

  1. Calibration of Inverted Asphalt Pavement Rut Prediction Model, Based o...
    Go to citation Crossref Google Scholar
  2. The Pace of Life: Metabolic Energy, Biological Time, and Life History
    Go to citation Crossref Google Scholar
  3. Rutting Prediction Model for Semirigid Base Asphalt Pavement Based on ...
    Go to citation Crossref Google Scholar
  4. Relationship between channelisation and geometric characteristics of r...
    Go to citation Crossref Google Scholar
  5. Flexible Pavements and Climate Change: A Comprehensive Review and Impl...
    Go to citation Crossref Google Scholar
  6. Differential rutting in Canterbury New Zealand, and its relation to ro...
    Go to citation Crossref Google Scholar
  7. Positioning of travelling vehicles in rural New Zealand on chip sealed...
    Go to citation Crossref Google Scholar
  8. Feasibility of Using 4th Power Law in Design of Plastic Deformation Re...
    Go to citation Crossref Google Scholar
  9. Determination of Load Equivalency for Unpaved Roads
    Go to citation Crossref Google Scholar
  10. Principles of Ensuring Appropriate Driving Conditions on Motor Roads
    Go to citation Crossref Google Scholar
  11. RESEARCH AND EVALUATION OF RUTS IN THE ASPHALT PAVEMENT ON LITHUANIAN ...
    Go to citation Crossref Google Scholar
  12. Kelių tampriosios dangos konstrukcijų savybių įtaka jų viršutinio sluo...
    Go to citation Crossref Google Scholar
  13. THE HEAVY VECHICLES INTERACTION WITH ROAD PAVEMENT INFLUENCE TO CONSTR...
    Go to citation Crossref Google Scholar
  14. Examination of Permanent Deformation Models for Use on a Recycled Conc...
    Go to citation Crossref Google Scholar
  15. MODELLING THE INTERACTION OF TRANSPORT SYSTEM ELEMENTS / TRANSPORTO SI...
    Go to citation Crossref Google Scholar

Figures and tables

Figures & Media

Tables

View Options

Get access

Access options

If you have access to journal content via a personal subscription, university, library, employer or society, select from the options below:


Alternatively, view purchase options below:

Purchase 24 hour online access to view and download content.

Access journal content via a DeepDyve subscription or find out more about this option.

View options

PDF/ePub

View PDF/ePub