On the Relationship between Bond\u27s Work Index and Mechanical Properties of Brittle Materials

By a dimensional analysis method, we have obtained the following relationship between the Bond\u27s work index and the mechanical properties of brittle materials. Wi・ρ = 0.623 Y_1^ Sc^ St^ (1-ν_1^2)^ Rc^ Rt^ Where Wi [Kg-cm/kg] is the work index, ρ [kg/cm^3] is the density. Sc [Kg/cm^2] is the compressive strength. St [Kg/cm^2] is the tensile strength, Y_1 [Kg/cm^2] is the Young\u27s modulus, ν_1 [-] is the Poisson\u27s ratio, Rc [-] is the ratio of specific surface area of fractured product to the rod specimen and Rt [-] is the ratio of specific surface area to the spherical specimen, both under slow rate of compressive loading. Dividing Wi calculated from the above equation by 4.05×10^4 Kg-cm/kg, we can obtain Wi having the unit of [kWh/ton]. The above relationship is applicable to materials having the Moh\u27s hardness H=2.0-6.5