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Statistical analysis of mechanical properties on the example of aggregates of Carpathian sandstones Cover

Statistical analysis of mechanical properties on the example of aggregates of Carpathian sandstones

Studia Geotechnica et Mechanica
Volume 42 (2020): Issue 4 (December 2020)
By: Joanna Hydzik-Wiśniewska and  Łukasz Bednarek  
Open Access
|Sep 2020

Figures & Tables

Figure 1

A simplified geological and structural map of the Polish Carpathians [5, 16, 23, 30].
A simplified geological and structural map of the Polish Carpathians [5, 16, 23, 30].

Figure 2

Los Angeles drum.
Los Angeles drum.

Figure 3

Sample before (a) and after (b) fragmentation test.
Sample before (a) and after (b) fragmentation test.

Figure 4

Micro-Deval drum.
Micro-Deval drum.

Figure 5

Sample before (a) and after (b) abrasion test.
Sample before (a) and after (b) abrasion test.

Figure 6

Histogram of beta distribution of resistance to fragmentation and abrasion: (a) Magura sandstone, (b) Cergos sandstone, (c) Krosno sandstone and (d) overall.
Histogram of beta distribution of resistance to fragmentation and abrasion: (a) Magura sandstone, (b) Cergos sandstone, (c) Krosno sandstone and (d) overall.

Figure 7

Function fitting for Magura sandstone: (a) linear, (b) exponential and (c) logarithmic.
Function fitting for Magura sandstone: (a) linear, (b) exponential and (c) logarithmic.

Figure 8

Function fitting for Cergos sandstone: (a) linear, (b) exponential and (c) logarithmic.
Function fitting for Cergos sandstone: (a) linear, (b) exponential and (c) logarithmic.

Figure 9

Function fitting for Krosno sandstone: (a) linear, (b) exponential and (c) logarithmic.
Function fitting for Krosno sandstone: (a) linear, (b) exponential and (c) logarithmic.

Figure 10

Function fitting for all tested sandstones: (a) linear, (b) exponential and (c) logarithmic.
Function fitting for all tested sandstones: (a) linear, (b) exponential and (c) logarithmic.

Figure 11

Regression analysis results: (a) linear, (b) exponential and (c) logarithmic.
Regression analysis results: (a) linear, (b) exponential and (c) logarithmic.

Figure 12

Residuals for all tested sandstones: (a) linear, (b) exponential and (c) logarithmic.
Residuals for all tested sandstones: (a) linear, (b) exponential and (c) logarithmic.

Regression statistics_

CoefficientsR squareStandard errort Statp-valueLower 95%Upper 95%
Linear function
Intersection0.4800,81292.1390.2240.822−3.7734.733
LA1.4860.07619.4442.02E-331.3341.638
Exponential function
Intersection6.6340,74262.2462.9520.0042.16811.099
exp^(0.034*LA)12.9040.81415.8452.24E-2711.28514.522
Logarithmic function
Intersection−103.3380,81617.330−14.0973.49E-24−117.908−88.768
ln(LA)44.2652.25219.6499.59E-3439.78848.743

Physico-mechanical properties of sandstones [12]_

Rock typeBulk density [Mg/m3]Absorbability [%]Dry condition compressive strength [MPa]Compressive strength after water absorption [MPa]
min–maxon averagemin–maxon averagemin–maxon averagemin–maxon average
Krosno sandstone2.31–2.712.640.25–3.701.5057–17812240–15389
Magura sandstone2.50–2.692.620.30–2.471.1291–20716459–194125
Cergos sandstone2.48–2.772.630.52–2.941.33115–20717094–173134

Statistical values of LA and MDE coefficients for Carpathian sandstone aggregates_

ValueLA coefficientMDE coefficient
OverallMagura sandstoneCergos sandstoneKrosno sandstoneOverallMagura sandstoneCergos sandstoneKrosno sandstone
Average26.6924.5423.6741.3240.1535.5337.3662.95
Minimum14.0014.0020.0024.3020.0020.0030.0035.20
Maximum56.0037.1028.6056.0084.2058.5047.0084.20
Standard deviation8.476.382.839.0813.9711.394.6715.15
Median24.3023.3523.1041.0038.1035.1537.4066.00
Coefficient of variation31.7626.0111.9621.9934.8032.0412.5024.07
DOI: https://doi.org/10.2478/sgem-2020-0003 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
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Language: English
Page range: 366 - 375
Submitted on: Feb 28, 2020
|
Accepted on: Aug 17, 2020
|
Published on: Sep 24, 2020
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
aggregates,
Los Angeles coefficient,
Micro-Deval coefficient
Related subjects:
Geosciences,
Geosciences, other,
Materials sciences,
Composites,
Porous materials,
Physics,
Mechanics and fluid dynamics

© 2020 Joanna Hydzik-Wiśniewska, Łukasz Bednarek, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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