In the article, the authors present the concept of a mathematical model used to study the influence of the properties of the base materials used to produce an innovative abrasive wheel background on the operating characteristics of the final tool. This model will be used to verify various material and construction solutions. The article also covers the outcomes of research that confirm the developed model’s effectiveness in relation to the operation of lamellar grinding discs, as per their intended technological goal. The experiments involved surface grinding with grinding wheels constructed on chosen backgrounds. A dedicated research stand was designed to measure the temperature in the grinding zone without direct contact, using both new and used grinding discs. The tests incorporated various pressure levels applied by the grinding disc on the workpiece, as well as different working angles of the grinding disc.