Studying the specific energy during material removal mechanism at micro-scale provides a better understanding of energy transition between different material removal regimes. Modeling of specific energy into components of sliding, plowing and cutting helps to analyze the influence of grain properties process parameters, and mechanical properties on energy transition between different phases of material removal. Present research put forth the comprehensive model of specific energy consumption for abrasive cut off operating based on the individual models of primary and secondary rubbing energies, specific plowing energy and specific cutting energy. Materials of SS201, Inconel 718, Al 1100, Al 7075 and oxygen free copper (OFC– C10100) have been employed while cutting with semi super abrasive cubitron cut off wheel. Model validation on experimental data revealed that triangular shape of cubitron grits significantly influenced the plowing energy and played an important role in energy transition between different material removal regimes. Moreover, cutting conditions and material properties also affected the overall specific energy consumption, dominance of particular specific energy components and machinability of the materials.