Due to the stochastic nature of the abrasive-tool topography, abrasive processes are difficult to model and quantify. In contrast, their macro geometry and kinematics are usually well defined and straightforwardly controlled on machine tools. To reconcile this seeming contradiction, a novel unifying modelling framework is defined through the theory of aggressiveness. It encompasses the arbitrary geometry and kinematics of a workpiece moving relative to an abrasive surface. The key parameter is the point-aggressiveness, which is a dimensionless scalar quantity based on the vector field of relative velocity and the vector field of abrasive-surface normals. This fundamental process parameter relates directly to typical process outputs such as specific energy, abrasive-tool wear and surface roughness. The theory of aggressiveness is experimentally validated by its application to a diverse array of abrasive processes, including grinding, diamond truing and dressing, where the aggressiveness number is correlated with the aforementioned measured process outputs.

由于研磨工具的形貌是随机的，因此很难对研磨过程进行建模和量化。相反，它们的宏观几何和运动学通常是定义明确的，并且可以在机床上直接控制。为了调和这种看似矛盾的地方，通过侵略性理论定义了一种新颖的统一建模框架。它涵盖了相对于磨料表面运动的工件的任意几何形状和运动学。关键参数是点侵略性，它是基于相对速度矢量场和磨料表面法线矢量场的无量纲标量。这个基本的工艺参数直接与典型的工艺输出有关，例如比能量，磨具的磨损和表面粗糙度。