Location of the Crack Initiation Points in the Brazilian Disc Test

To study the location of crack initiation and its failure mode in the Brazilian test, the analytical location of the crack initiation under different failure modes was first discussed with the stress formulas of the Brazilian test. Then, by using the numerical simulation technique of fast Lagrangian analysis of continua to simulate the ideal Brazilian test, we found that: (a) when the crack was a tensile fracture, the crack initiation point was found to be around the maximum tension stress point; (b) when the crack was a shear failure, the crack initiation point, which was only related to the internal friction angle, was found between the maximum tension stress point and the tensile critical point; and c. the numerical conclusion well verified the correctness of the theoretical analysis and was in good agreement with the results of other papers.