Abstract
Consistent material modeling is a prerequisite for a mechanistic approach to pavement design. The scope of this investigation was to statistically evaluate the efficiency of various resilient models commonly encountered in highway engineering. These models were categorized as describing either resilient modulus or shear and volumetric strains. Triaxial tests using constant and cyclic confining pressure were performed on coarse granular materials of various gradings (maximum particle size 90 mm). Two statistical methods, the extra sum of squares F-test and the Akaike information criterion, were used for model comparison. Concerning resilient modulus, the Uzan model provided, in general, a statistically significant improvement compared to the k–θ model. However, this improvement is lost if a constant Poisson ratio is used to predict shear and volumetric strains. In case of the shear–volumetric approach, no single model was most likely to be the best model for all gradings studied.
Similar content being viewed by others
References
Fuller WB (1905) Proportioning concrete. In: Taylor FW, Thompson SE (eds) A treatise on concrete plain and reinforced. John Wiley, pp 183–215
ASTM D4253 (1996) Standard test methods for maximum index density and unit weight of soils using a vibratory table. ASTM, Philadelphia PA
Ekblad J, Isacsson U (2006) Influence of water on resilient properties of coarse granular materials. Road Mater Pavement Des 7(3):369–404
Andrei D, Witczak MW, Schwartz CW, Uzan J (2004) Harmonized resilient test method for unbound pavement materials. Transport Res Rec 1874:29–37
Raad L, Figueroa JL (1980) Load response of transportation support systems. Transport Eng J ASCE 106(TE1):111–128
Tutumluer E, Thompson MR (1997) Anisotropic modeling of granular bases in flexible pavements. Transport Res Rec 1577:18–26
Tutumluer E, Seyhan U (1999) Laboratory determination of anisotropic aggregate resilient moduli using an innovative test device. Transport Res Rec 1687:13–21
Adu-Osei A, Little DN, Lytton RL (2001) Cross-anisotropic characterization of unbound granular materials. Transport Res Rec 1757:82–91
Brown SF, Pell PS (1967) An experimental investigation of the stresses, strains and deflections in a layered pavement structure subjected to dynamic loads. In: Proceedings, second international conference structural design of asphalt pavements, Ann Arbor, USA, pp 487–504
Seed HB, Mitry FG, Monismith CL, Chan CK (1967) Prediction of flexible pavement deflections from laboratory repeated load test. NHCRP Report No. 35, National Cooperative Highway Research Program
Hicks RG, Monismith CL (1971) Factors influencing the resilient properties of granular materials. Highway Res Rec 345:15–31
May RW, Witczak MW (1981) Effective granular modulus to model pavement responses. Transport Res Rec 810:1–9
Uzan J (1985) Characterization of granular material. Transport Res Rec 1022:52–59
Sweere GTH (1990) Unbound granular bases for roads. Dissertation, University of Delft
Uzan J (1992) Resilient characterization of pavement materials. Int J Numer Anal Meth Geomech 16:453–459
Boyce HR (1980) A non-linear model for the elastic behaviour of granular materials under repeated loading. In: International symposium on soils under cyclic and transient loading, Swansea 7–11, January 1980, pp 285–294
Brown SF, Pappin JW (1981) Analysis of pavements with granular bases. Transport Res Rec 810:17–23
Jouve P, Elhannani M (1994) Application des modèles non linéaires au calcul des chaussées souples. Bull liaison Labo P et Ch 190:39–55
Hornych P, Kazai A, Piau J-M (1998) Study of the resilient behaviour of unbound granular materials. In: Nordal RS, Refsdal G (eds) Proceedings of BCRA’98, vol 3. Trondheim, pp 1277–1287
Hoff I, Nordal S, Nordal RS (1999) Constitutive model for unbound granular materials based on hyperelasticity. In: Proceedings of an international workshop on modelling and advanced testing for unbound granular materials, Lisbon, 21–22 January 1999, pp 187–196
Kutner MH, Nachtsheim CJ, Neter J, Li W (2005) Applied linear statistical models. McGraw-Hill
Burnham KP, Anderson DR (2002) Model selection and multi-model inference: a practical information-theoretic approach. Springer-Verlag, New York
Karasahin M, Dawson AR, Holden JT (1993) Applicability of resilient constitutive models of granular material for unbound base layers. Transport Res Rec 1406:98–107
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ekblad, J. Statistical evaluation of resilient models characterizing coarse granular materials. Mater Struct 41, 509–525 (2008). https://doi.org/10.1617/s11527-007-9262-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1617/s11527-007-9262-9