Estimation of the number of specimens required for acquiring reliable rock mechanical parameters in laboratory uniaxial compression tests

Cui, Jie; Jiang, Quan; Li, Shaojun; Feng, Xia‐Ting; Zhang, Meizhu; Yang, Bing

doi:10.1016/j.enggeo.2017.03.023

Cited by 15 publications

(8 citation statements)

References 19 publications

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“…Similar studies are found in the literature regarding the attainment of the minimum number of specimens required for a given experiment [18], [19], ensuring that this minimum number still produces relevant results for the scientific community. For example, Jie Cui et al [18] evaluate the possibility of estimating the number of specimens required in a mechanical experiment.…”

Section: Discussionsupporting

confidence: 70%

A proposal of grinding media standardization for ball mill abrasion test

García Mendoza,

Quiroz Fernández,

Sablón Cossío

2024

Ingeniare. Rev. chil. ing.

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The Ball Mill Abrasion Test (BMAT) is a laboratory experiment used to measure the resistance of materials under high-stress abrasion conditions. This test, however, has yet to be standardized. In this work, statistical theory determines the optimal number of spheres per material to be included in BMAT. This theory and the optimization method presented in this paper show that the optimal number of spheres for the usual experimental conditions is six. Finally, it is shown that if the optimization process is extended over a broader range of experimental conditions, the optimum number of spheres per material is also six.

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Section: Discussionsupporting

confidence: 70%

A proposal of grinding media standardization for ball mill abrasion test

García Mendoza,

Quiroz Fernández,

Sablón Cossío

2024

Ingeniare. Rev. chil. ing.

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“…However, there are still some unsolved problems. The heterogeneity and randomness of natural rocks lead to a significant discreteness of macroscopic mechanical parameters of such material (Yamaguchi, 1970;Ruffolo et al, 2009;Cui et al, 2017). For the discrete element model, the randomly distributed particles could be used to simulate the heterogeneous characteristic of rocks, but how does particle distribution affect the macroscopic strength of the model has not been systematically studied yet.…”

Section: Var(x)mentioning

confidence: 99%

Influence of Particle Distribution on Macroscopic Properties of Particle Flow Model

Zhang

2021

Preprint

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The particle flow discrete element models for uniaxial compression and tensile tests of rocks are established to study the influence of the particle distribution randomness on the macroscopic mechanical properties of such model. The results of macroscopic mechanical properties show strong discreteness due to the variance of particle distributions, in which compressive strength, tensile strength and Poisson's ratio follow the normal distribution and the Young's modulus follows the negative skewness distribution. The average values of the macroscopic strength obtained based on multiple calculations with different particle distributions should be used for the calibration of microscopic parameters. According to the relationship between sample size and deviation of macro strength averages, the minimum calculation number required to obtain high-precision macro strength with different confidence levels is given.

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“…The data of basalt rock uniaxial compressive strength parameter (S) are taken from (Cui et al, 2017) and shown in Table 2a. Analyze the data by the Persian curve method.…”

Section: Examplementioning

confidence: 99%

A Reliable Method of Analysis for Geotechnical Data

Ranjbaran¹,

Ranjbaran²,

Ranjbaran³

2020

International Journal of Structural Glass and Advanced Material

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Geotechnical engineering is the art of making decisions in the presence of uncertainty, where real world problems are treated and this is associated with uncertainties arising from various sources. The sources of uncertainty may be divided into uncertainties of nature and uncertainties of mind. The uncertainties of nature are due to variation of encountered phenomena, e.g., the shear strength in a soil. This is reduced by obtaining more reliable data via the results of tests. The uncertainties of mind are related to the modelling, which may be reduced by change of philosophy.Here, the data is considered as variable instead of random so is reliable. Based on logical reasoning and concise mathematics a reliable formulation, i.e., the change of state philosophy which is digested in the Persian curve is proposed. The Persian curve method is free of uncertainties of mind. In the presented paper the Persian curve method is used to manage the variable geotechnical data in a form that can easily be used in practical geotechnical work for decision making and design.

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Estimation of the number of specimens required for acquiring reliable rock mechanical parameters in laboratory uniaxial compression tests

Cited by 15 publications

References 19 publications

A proposal of grinding media standardization for ball mill abrasion test

A proposal of grinding media standardization for ball mill abrasion test

Influence of Particle Distribution on Macroscopic Properties of Particle Flow Model

A Reliable Method of Analysis for Geotechnical Data

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