Grinding is a generally utilized method, removing excess materials through effective abrasives. The grinding abrasives with multiple shape-position characteristics play a dominant role in determining the thermo-mechanical coupling, which may influence the surface quality directly. To investigate this correlated influence mechanism, this paper focuses on the abrasive shape and position characteristic on the grinding thermo-mechanical process with the analytic single abrasive interaction force model by considering the abrasive shape and its distribution information. It can be found that the mapped dynamic grinding temperature is actually discretized on the workpiece surface, which is on account of the diversity of the abrasive shape and its distribution. Moreover, higher spherical and conical abrasive particles, as well as lower pyramid shaped abrasive particle ratios, can generate greater specific grinding energy with a discretized temperature distribution, when compared with a higher proportion of pyramid shaped abrasive. The study can be utilized to provide valuable theoretical foundation for engineering practice by preparing structural wheel and its grinding property.