Abstract

The Brazilian disc test is a simple and useful technique to determine the tensile strength of rock materials. By using FLAC3D, 63 numerical simulations in total were performed when flattened Brazilian disc coefficient and Poisson’s ratio were different. Based on Griffith theory, the corresponding FISH language was compiled to record the Griffith equivalent stress. Through analysis of numerical simulation results, it is indicated that fracture plane was not the plane going through center of the Brazilian disc, which was in good agreement with the references. In addition, the flattened Brazilian disc coefficients had greater influence on tensile strength than Poisson’s ratio. Based on cusp catastrophe theory, the flattened Brazilian disc coefficient should not exceed 0.035 for the flattened Brazilian disc tests. Consequently, a tensile strength empirical formula considering flattened Brazilian disc coefficient by utilizing the flattened Brazilian disc test was established, which wasσt=0.9993 exp (-11.65ε)2p/πDt,ε≤0.035.

Highlights

  • The Brazilian disc test is a useful technique to determine the tensile strength of rock materials [1,2,3,4,5,6]; the Brazilian disc test has attracted the attention of a large number of scholars due to its extensive practical importance in engineering application

  • Fracture Plane Analysis of the Brazilian Disc Test. They belong to brittle materials, and the fracture mechanism can be explained by Griffith theory [25, 26]

  • The Brazilian disc test is one of the most widely used indirect methods, whereas some scholars found that the loading location was smashed and the crack did not initiate from the center of the Brazilian disc due to the stress concentration in the loading location, which decrease the accuracy of the tensile strength by using the Brazilian disc test

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Summary

Introduction

The Brazilian disc test is a useful technique to determine the tensile strength of rock materials [1,2,3,4,5,6]; the Brazilian disc test has attracted the attention of a large number of scholars due to its extensive practical importance in engineering application. Jianhong et al [7] analyzed the plane stress distribution of the Brazilian disc test; the tensile elastic modulus of a rock can be obtained by the results of theory analysis. With regard to the experiments for the Brazilian test, Tan et al [9] conducted a series of Brazilian tests on Monsel slate considering different foliation-loading angles, fracture patterns and strength of samples were analyzed, and how the microparameters influence the bearing capacity and failure modes of Brazilian disc tests for anisotropic rocks was revealed. Yang and Huang [11] constructed a model for Brazilian disc splitting test using PFC2D, and it was used to simulate Brazilian splitting test for jointed rock mass specimens and specimen containing a central straight notch, and the influences of joint angles on tensile strength and failure modes were analyzed

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