The Fractal Properties of Scale Effect on the Density of Rock-Fill Materials

Article Preview

Abstract:

to study scale effect on the density of rock-fill materials, the relative density tests were carried out by physical tests and numerical tests. Fractal geometry theory was drawn into the gradation of rock-fill materials. Then, the fractal properties of scale effect on the density were investigated. There are close relations between fractal dimension D and densities of rock-fill materials. The densities are maximal when D is the critical value Dc. Furthermore, Dc is independent of the relative density Dr and the maximal diameter dmax. Truncation error is one of the main factors of scale effect of densities of rock-fill materials. The achievements in the paper lay a good foundation for further studying scale effect of rock-fill materials with fractal geometry theory.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 706-708)

Pages:

520-525

Citation:

Online since:

June 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Bishop W A, Henkel D.J. The measurement of soils properties in the triaxial test [R]. London: Edward Arnold ltd.,1948.

Google Scholar

[2] Soil Engineering Society of Japan. Site compaction of coarse-grained materials [M]. Beijing: China Water Conservancy and Electric Power Press, 1995.

Google Scholar

[3] GUO Qing-guo. The engineering properties and application of coarse-grained materials [M]. Zhengzhou: the Yellow River Water Press, 1998.(in Chinese)

Google Scholar

[4] Marachind N D, Chan C K, Seed H.B. Evaluation of properties of rockfill materials [J]. Soil Mech. Found. Div., 1972,98(1):95-114.

DOI: 10.1061/jsfeaq.0001735

Google Scholar

[5] HE Ji-shu, LIU Lu-ping, ZHAO Jian-qing. The field compression test of rock-fill materials [J]. Central South Hydroelectric Power,2003,3(1):40-42.

Google Scholar

[6] Ramamurthy T, Gupta K K. Response paper to how ought one to determine soil parameters to be used in the design of earth and rockfill dams [C]// Proc., Indian Geotech. Conf.: New Delhi, India,1986:15-19.

Google Scholar

[7] Marsal R J. Mechanical properties of rockfill [A]. In: embankment-Dam engineering, casagrande volum [C]// New York: Wiley,1973,109-200.

Google Scholar

[8] SHI Yan-wen. A study on maximum density of large sized sandy gravels [J]. China Civil Engineering Journal, 1981,2(2): 53-58.

Google Scholar

[9] GUO Qing-guo, LIU Zhen-cao. An approximate method for determining the maximum dry density of over-sized coarse-grained materials [J]. Journal of Hydraulic engineering, 1993,6(10): 70-78.

Google Scholar

[10] WENG Hou-yang. Experimental study on scale effect of coarse-grained materials [D]. Nanjing: Hohai University, 2008.

Google Scholar

[11] Turcotte D L. Fractals and fragmentation [J]. Journal of Geophysical Research, 1986,91(B2): 1921-1926..

DOI: 10.1029/jb091ib02p01921

Google Scholar

[12] Tyler S W, Stephen W. Application of fractal mathematics to soil water retention estimation [J]. Soil Science Society of America Journal, 1989,53(4):987-996.

DOI: 10.2136/sssaj1989.03615995005300040001x

Google Scholar

[13] Perfect E, Rasiah V, Kay B D. Fractal dimensions of soil aggregate-size distributions calculated by number and mass [J]. Soil Sci. Soc. Am. J., 1992,56(3):1407-1409.

DOI: 10.2136/sssaj1992.03615995005600050012x

Google Scholar

[14] Tyler S W, Wheatcraft, S W. Fractal scaling of soil particle-size distributions: analysis and limitations [J]. Soil Science Society of America Journal, 1992,56(2):362-369.

DOI: 10.2136/sssaj1992.03615995005600020005x

Google Scholar

[15] YANG Pei-ling, LUO Yuan-pei, SHI Yuan-chun. The soil fractal properties of soil aggregate-size distributions calculated by mass [J]. Chinese Science Bulletin, 1993,38(20):1896-1899.

Google Scholar

[16] ZHU Sheng, Particles Gradation Optimization of Blasting Rockfill Based on Fractal Theory [C]// Wuhan: Advanced Research On Material Engineering, Architectural Engineering And Information, Advanced Materials Research,366: 469-473.

DOI: 10.4028/www.scientific.net/amr.366.469

Google Scholar

[17] China Electic Power Press. Code for coarse-grained soil tests for hydropower and water conservancy engineering [S]. Beijing: China Electic Power Press, 2006.

Google Scholar