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A General Dry Density Law for Sands
Emoke Imre,Janos Lorincz,Q. Phong Trang,Stephen Fityus,Jozsef Pusztai,Gabor Telekes,Tom Schanz 대한토목학회 2009 KSCE Journal of Civil Engineering Vol.13 No.4
The direct interpolation of a transfer function needs exponentially many data in terms of the number of the fractions in the grading curve. The suggested transfer function construction method - based on a double approximation technique, the grading entropy concept and at most quadratic many data in terms of the fraction number – is tested on the example of the dry density of sands here using some previously measured data. In the first approximation step a “preliminary transfer function” is interpolated in the nonnormalized grading entropy diagram on the basis of some “optimal” soil data. In the second approximation step the preliminary transfer function is extended to the space of the possible grading curves with the constant function. The so determined transfer function is tested against an independent “non-optimal” data set, measured on some soil series with basically continuous (i.e., not gap-graded) grading curves. The aim of this paper is to present the main results of the study supporting the goodness of the method and the predictability of the dry density transfer function. The direct interpolation of a transfer function needs exponentially many data in terms of the number of the fractions in the grading curve. The suggested transfer function construction method - based on a double approximation technique, the grading entropy concept and at most quadratic many data in terms of the fraction number – is tested on the example of the dry density of sands here using some previously measured data. In the first approximation step a “preliminary transfer function” is interpolated in the nonnormalized grading entropy diagram on the basis of some “optimal” soil data. In the second approximation step the preliminary transfer function is extended to the space of the possible grading curves with the constant function. The so determined transfer function is tested against an independent “non-optimal” data set, measured on some soil series with basically continuous (i.e., not gap-graded) grading curves. The aim of this paper is to present the main results of the study supporting the goodness of the method and the predictability of the dry density transfer function.
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