Statistical analysis of the asphalt mixtures volumetric properties
Yiqiu Tan , Huining Xu , AI-Hadidy Ai
Journal of Wuhan University of Technology Materials Science Edition ›› 2010, Vol. 25 ›› Issue (6) : 1082 -1090.
Statistical analysis of the asphalt mixtures volumetric properties
Based on statistics principle, random error and systematic error were considered and the volumetric properties of the two mixtures types, namely A and B, were statistically analyzed using different distribution methods. Seventy-two samples of mixture A and fifty-two of mixture B were fabricated using the Marshall method. The probability distributions were compared on the basis of goodness of fit. Weibull model was found to be most appropriate model for describing the asphalt mixtures volumetric properties distribution. The two-parameter Weibull distribution function applied well to model the bulk specific gravity and voids filled with asphalt data, whereas, the three-parameter Weibull distribution appeared to be more appropriate in the discussing of air voids and voids in mineral aggregate. The experimetal results is revealed that compared with the mean value, the peak value of Weibull distribution was suggested as an alternative and more powerful parameter for describing the test data distribution characteristic. The analysis of test results also revealed that there were significant differences in the volumetric properties of the two tested mixtures for the same confidence level. The confidence interval decreased with the decreasing in reliability.
asphalt mixture / volumetric properties / statistical analysis / Weibull distribution / evaluation index / reliability
| [1] |
Qiu YF, Lum KM. Design and Performance of Stone Mastic Asphalt[J]. Journal of Transportatison Engineering, 2006, (12): 956–963 |
| [2] |
Masad E, Jandhyala VK, Dasgupta N, et al. Characterizatisson of air void Distribution in Asphalt Mixes Using X-ray Computed Tomography[J]. Journal of Materials in Civil Engineering, 2002, (3): 122–129 |
| [3] |
|
| [4] |
Christensen Donald W, Bonaquist Jr Ramon. Use of Strength Tests for Evaluating the Rut Resistance of Asphalt Concrete[C]. Asphalt Paving Technology: Association of Asphalt Paving Technologists-Proceedings of the Technical Sessions, 2002, (71): 692–711 |
| [5] |
|
| [6] |
Yang Ruiihua, Xu Zhihong. Relationship between Fractal Dimension and Road Performance of Dense-gradation Asphalt Mixture[J]. China Civil Engineering Journal, 2007, (40): 98–103 |
| [7] |
Vavrik W R, Pine W J, et al. The Bailey Method of Gradation Evaluation: The Influence of Aggregate Gradation and Packing Characteristics on Voids in the Mineral Aggregate[J]. Journal of the Association of Asphalt Paving Technologists, 2001, (4): 1–5 |
| [8] |
Liu Hongying. Effect of Asphalt Film Thickness on Engineering Performance of Asphalt Mixtures[J]. Technology of Highway and Transport, 2004, (3): 30–34 |
| [9] |
|
| [10] |
JTJ Standard 052-2000. Standard Test Methods of Bitumen and Bituminous Mixtures for Highway Engineering[S]. Annual book of JTJ Standard |
| [11] |
|
| [12] |
Bikramjit Basu, Devesh Tiwari. Is Weibull Distribution the Most Appropriate Statistical Strength Distribution for Brittle Materials[J]. Ceramics International, 2009, (13): 237–246 |
| [13] |
Marshall A W, Meza JC Can Data Recognize Its Parent Distribution[J]. Comput. Graph. Stat., 2001, (10): 555–580 |
| [14] |
Chunsheng Lu, Robert Danzer, et al. Fracture Statistics of Brittle Materials: Weibull or Normal Distribution[J]. Physical Review, 2002, (65): 067102 |
| [15] |
Hui Li, Mao-hua Zhang, Jin-ping Ou. Flexural fatigue Performance of Concrete Containing Nano-particles for Pavement[J]. International Journal Fatigue, 2007, (29): 1292–1301 |
| [16] |
LI Shuangyang, LAI Yuanming. Study on Distribution Laws of Elastic Modulus and Strength of Warm Frozen SOIL[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, (26): 4299–4305 |
| [17] |
SL Fok, BC Mitchell. A Numerical Study on the Application of the Weibull Theory to Brittle Materials[J]. Engineering Fracture Mechanics, 2001, (68): 1171–1179 |
| [18] |
Y Lu, L Cheng. Optimization of Sample Number for Weibull Functions of Brittle Materials Strength[J]. Ceram.Int., 2007, (21): 239–241 |
| [19] |
|
| [20] |
Weibull W. A Statistic Distribution Function of Wide Applicability[J]. Appl. Mech., 1951, (18): 253 |
| [21] |
JTG Standard F40-2004. Technical Specifications for Construction of Highway Asphalt Pavements[S]. Annual book of JTG Standard |
/
| 〈 |
|
〉 |