Application of Shakedown Theory in Characterizing
Traditional and Recycled Pavement Base Materials
Mingjiang Tao
1
; Louay N. Mohammad
2
; Munir D. Nazzal
3
; Zhongjie Zhang
4
; and Zhong Wu
5
Abstract: To facilitate the use of recycled materials in pavement construction, a mechanistic-based approach is required to better
characterize pavement base materials. This paper demonstrates the application of the shakedown theory to characterize the behavior of
traditional and recycled base materials based on laboratory repeated load triaxial RLT tests and full-scaled accelerated loading tests. A
new approach that is based on dissipated energy is proposed to explain different shakedown responses of tested materials under repeated
loading. The dissipated energy approach illustrated that there are two responses during RLT tests, namely, stable and unstable responses,
which are dependent on the loading levels and type of tested material. It was also observed that the transition from the stable to unstable
response represents gradual microstructural adjustments of tested materials to accommodate the applied loading. This gradual transition
explains the difficulties in identifying some material responses within the shakedown theory based only on the permanent strain rate
criteria. Based on the results of this study, a mechanistic-based design procedure to incorporate various recycled materials into pavement
bases is recommended.
DOI: 10.1061/ASCE0733-947X2010136:3214
CE Database subject headings: Energy dissipation; Deformation; Pavements; Base courses; Recycling; Triaxial tests; Resilient
modulus.
Author keywords: Dissipated energy; Permanent deformation; Pavement base courses; Recycled materials; Repeated load triaxial tests;
Resilient modulus; Shakedown theory.
Introduction
As a consequence of increasing demands on highway systems,
high quality aggregates are being depleted at a rapid pace. To
achieve a sustainable development in pavement engineering, there
is a global interest in using recycled and marginal materials in
pavement construction. Many recycled materials, such as recycled
hot mix asphalt, recycled portland cement concrete, and glass
cullet, among others, have proven to perform well at different
pavement layers, although their properties may be different from
those of traditional unbound aggregates. However, the current
specification of unbound aggregates is not yet ready to character-
ize recycled and marginal materials due to its “recipe-based” na-
ture. Unbound aggregates are generally characterized on the basis
of physical properties such as gradation, plasticity, hardness, and
durability, and stiffness and strength determined from monotonic
triaxial tests. Many of these properties are determined either em-
pirically or from testing procedures without properly considering
the relevance to the actual performance of pavement materials
under traffic loading. The new mechanistic-empirical pavement
design guide requires the resilient modulus obtained from re-
peated load triaxial RLT tests to characterize base course mate-
rials, however, recent studies have shown that the resilient
modulus alone does not properly characterize the behavior of
pavement materials National Cooperative Highway Research
Program NCHRP 2004; Khogali and Mohamed 2004; Puppala
et al. 2005; Mohammad et al. 2006. Pavement performance vir-
tually depends on both resilient and permanent deformations,
which are affected by other factors, such as environmental and
traffic conditions.
Due to the limitations in current specifications of unbound
aggregates and the limited understanding of recycled materials’
properties strength, stiffness, and resistance to permanent defor-
mation under repeated loading, a performance-based character-
ization procedure along with a proper performance indicator is
highly desirable in using recycled materials in pavements. Several
studies have been devoted to the development of a performance-
based testing procedure for better characterization of unbound
aggregates. Under NCHRP Project 4-23, “Performance-related
tests of aggregates for use in unbound pavement layers,” Saeed et
al. 2001 recommended that shear strength of unbound aggre-
gates under repeated loading is the parameter that has the most
significant influence on pavement performance. AUSTROADS
The Association of Australian and New Zealand Road Transport
and Traffic Authorities developed a performance-based testing
procedure to characterize unbound aggregates as well as marginal
materials, in which resilient modulus and permanent deformation
are determined by conducting RLT tests AP-T29/03 AUS-
1
Assistant Professor, Dept. of Civil and Environmental Engineering,
Worcester Polytechnic Institute, Worcester, MA01609 corresponding au-
thor. E-mail: taomj@wpi.edu
2
Professor, Louisiana Transportation Research Center, Louisiana State
Univ., Baton Rouge, LA 70808.
3
Assistant Professor, Dept. of Civil Engineering, Ohio Univ., Athens,
OH 45701.
4
Administrator of Pavement/Geotechnical Research, Louisiana Trans-
portation Research Center, Baton Rouge, LA 70808.
5
Research Assistant Professor, Louisiana Transportation Research
Center, Baton Rouge, LA 70808.
Note. This manuscript was submitted on September 14, 2007; ap-
proved on October 20, 2009; published online on February 12, 2010.
Discussion period open until August 1, 2010; separate discussions must
be submitted for individual papers. This paper is part of the Journal of
Transportation Engineering, Vol. 136, No. 3, March 1, 2010. ©ASCE,
ISSN 0733-947X/2010/3-214–222/$25.00.
214 / JOURNAL OF TRANSPORTATION ENGINEERING © ASCE / MARCH 2010
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