Sand mixture density

Imre, E.; Hazay, M.; Juhász, Marianna; Lorincz, Jonathan A.; Rajkai, Kálmán; Schanz, Tom; Lins, Yvonne; Hortobágyi, Zs

doi:10.1201/b17034-97

Cited by 2 publications

(4 citation statements)

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“…The measurements were performed on five sand fractions and their artificial, optimal mixtures by Lőrincz earlier (see Table 5,[11][12][13][14][15]).…”

Section: Dry Density Measurementsmentioning

confidence: 99%

“…The isolines shown in Fig. 7 were determined directly from the following regression equation: min 0 0.0195 0.0318 0.2482 s S S (13) In the second case, the 4-dimensional version of section 2 (see Fig. 3) was used, the interpolation points were selected on the optimal line and on the gap-graded edge 1-N.…”

Section: Minimum Dry Densitymentioning

confidence: 99%

“…The iso-lines shown in Fig. 7(b) were computed from the following regression equation: (14) Eq. 14 can be applied in the "lower half" of the simplex where the largest fraction is dominant (see Fig.…”

Section: Minimum Dry Densitymentioning

confidence: 99%

“…The variability of the dry density related to two fixed entropy diagram points is presented in [13]. According to the results, the preciseness is determined by the size of the inverse image of the entropy diagram point.…”

Section: Preciseness By the Inverse Imagementioning

confidence: 99%

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Soil parameters in terms of entropy coordinates

et al. 2023

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In the ongoing research, an approximate, grading entropy based, advanced interpolation method is applied to establish empirical functions between the grading curves and the model parameters of sands. The space of the grain size distribution curves with N fractions is isomorphic to the space of the unit-sided simplex with dimension N-1. The traditional interpolation over the simplex with dimension N-1 is problematic since the number of the sub-simplexes (and the interpolation points) may increase exponentially with N. To overcome this difficulty, the function is approximately interpolated, which means that the interpolation is made on some 2-dimensional sections of the simplex and is extended to the whole simplex, using the grading entropy map. Two kinds of 2-dimensional sections can be used based on either fractal distributions or partly fractal partly on some maximal gap-graded distributions. In this paper the experiments were made on the artificial mixtures of natural sand grains earlier. Two kinds of functions were approximately interpolated for the minimum dry density using the measured data. One kind of function was determined for the parameters of an SWCC model directly from the level lines previously graphically interpolated from fractal distribution data.

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“…The measurements were performed on five sand fractions and their artificial, optimal mixtures by Lőrincz earlier (see Table 5,[11][12][13][14][15]).…”

Section: Dry Density Measurementsmentioning

confidence: 99%

Section: Minimum Dry Densitymentioning

confidence: 99%

Section: Minimum Dry Densitymentioning

confidence: 99%

Section: Preciseness By the Inverse Imagementioning

confidence: 99%

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