Abstract
It is well-known that the indentation hardness property is influenced by micro-fabric characteristics. The effect of textural characteristics on Vickers indentation hardness is attempted to be interpreted in this research. For this purpose, 12 fresh limestone samples from various quarries were tested to determine the Vickers hardness. Thereafter, quantitative textural parameters were identified and characterized using image processing techniques and micro-fabric analysis based on microphotographs of thin sections. Microphotographs of the thin sections were reviewed and digital boundaries of the grains were clarified and drawn. After preparation and filtering of the digitized thin sections, four basic properties of each grain, including maximum diameter, minimum diameter, area, and perimeter, were calculated with the ImageJ software. These parameters were then analyzed statistically and used to obtain seven indices, including equivalent diameter, grain compactness, shape factor, aspect ratio, grain interlocking index, grain size homogeneity, and texture coefficient. Experimental equations were developed and the results showed that Vickers indentation hardness was strongly influenced by textural properties. In addition, it was found that in the studied limestones, the three parameters of grain size, aspect ratio, and texture coefficient have the greatest effect on Vickers hardness.
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Abbreviations
- A :
-
Grain area
- P :
-
Grain perimeter
- \({\mathrm{D}}_{\mathrm{max}}\) :
-
Major axis length
- \({\mathrm{D}}_{\mathrm{min}}\) :
-
Minor axis length
- \({\mathrm{D}}_{\mathrm{equi}}\) :
-
Equivalent diameter (or grain size)
- TC :
-
Texture coefficient
- N 1 :
-
Number of grains with an aspect ratio greater than 2
- AR 1 :
-
Arithmetic mean of the aspect ratio of N1 grains
- AW :
-
Area weighting (grain packing density)
- F :
-
Applied force in Vickers hardness test
- \({\mathrm{d}}_{1}\) and \({\mathrm{d}}_{2}\) :
-
Diagonal lengths of indentation
- MAPE :
-
Mean absolute percentage error
- y :
-
Experimental values of Vickers hardness
- \({\mathrm{y}}_{\mathrm{avg}}\) :
-
Mean measured values of Vickers hardness
- AR :
-
Aspect ratio
- SF :
-
Shape factor
- C :
-
Grain compactness
- t :
-
Grain size homogeneity
- g :
-
Grain interlocking index
- N 0 :
-
Number of grains with an aspect ratio less than 2
- FF o :
-
Arithmetic mean of the shape factor of all N0 grains
- AF 1 :
-
Angle factor orientation for all N1 grains
- V.H :
-
Vickers hardness
- \({\mathrm{d}}_{\mathrm{v}}\) :
-
Mean diagonal length of indentation
- VAF :
-
Variance account for
- NRMSE :
-
Normalized root mean square error
- \({y}^{^{\prime}}\) :
-
Calculated values of Vickers hardness
- N :
-
Number of rock samples in statistical analyses
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Ghorbani, S., Hoseinie, S.H., Ghasemi, E. et al. Effect of quantitative textural specifications on Vickers hardness of limestones. Bull Eng Geol Environ 82, 32 (2023). https://doi.org/10.1007/s10064-022-03049-4
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DOI: https://doi.org/10.1007/s10064-022-03049-4