A dynamic load superposed on a static pre-load is a key problem in deep underground rock engineering projects. Based on a modified split Hopkinson pressure bar test system, the notched semi-circular bend (NSCB) method is selected to investigate the fracture initiation toughness of rocks subjected to pre-load. In this study, a two-dimensional ANSYS finite element simulation model is developed to calculate the dimensionless stress intensity factor. Three groups of NSCB specimen are tested under a pre-load of 0, 37 and 74 % of the maximum static load and with the loading rate ranging from 0 to 60 GPa m 1/2 s -1 . The results show that under a given pre-load, the fracture initiation toughness of rock increases with the loading rate, resembling the typical rate dependence of materials. Furthermore, the dynamic rock fracture toughness decreases with the static pre-load at a given loading rate. The total fracture toughness, defined as the sum of the dynamic fracture toughness and initial stress intensity factor calculated from the pre-load, increases with the pre-load at a given loading rate. An empirical equation is used to represent the effect of loading rate and pre-load force, and the results show that this equation can depict the trend of the experimental data. Keywords Fracture toughness Á Pre-load Á SHPB Á NSCB Á FEM List of symbols BD Brazilian disc ISRM International Society for Rock Mechanics CCNSCB Cracked chevron notched semi-circular bend NSCB Notched semi-circular bend SHPB Split Hopkinson pressure bar a The length of the notched crack of the NSCB specimen A 0The cross-sectional area of the bar BThe thickness of NSCB and CCNSCB specimen E 0The Young's modulus of the bar material f D The scale factor of dynamic fracture toughness over the static fracture toughness f Dp The scale factor of dynamic fracture toughness with pre-load over the static fracture toughness K I The stress intensity factor for mode-I fracture in NSCB specimen K IcThe quasi-static fracture toughness K IdThe dynamic fracture toughness K I_totalThe total fracture toughness K I_preThe stress intensity factor due to the pre-load P 1The forces at the incident end of the specimen P 2The transmitted end of the specimen P dynamicThe dynamic load P maxThe maximum value of the load P preThe pre-load P totalThe total load P(t)The time-varying loading force RThe radius of NSCB specimen R S The radius of diamond-impregnated blade saw SThe span of the supporting pins Y(a/R)The dimensionless stress intensity factor e iThe incident stress wave & Kaiwen Xia